Performs clustering on the input data according to a Dirichlet Process Mixture model. An implementation of Neal 1999.

DP_MCMC_fit(y_in, n_iter = 10000, sigma_in = 0.1)

Arguments

y_in

a vector of real numbers to be clustered

n_iter

an integer for the number of iterations, defaults to 10,000

sigma_in

a positive integer for the variances of the clusters. A large value leads to fewer clusters.

Value

a list with MCMC samples for the cluster means, cluster assignments, concentration parameter alpha, and the cluster variance sigma

Examples

y_i <- c(-1.48, -1.4, -1.16, -1.08, -1.02, 0.14, 0.51, 0.53, 0.78)
DP_MCMC_fit(y_i)
#> $means
#>                [,1]         [,2]       [,3]        [,4]          [,5]
#>     [1,] -1.6811810 -1.238668010 -1.2386680 -1.23866801 -1.023789e+00
#>     [2,] -1.2760395 -1.276039537 -1.2760395 -0.76068724 -7.606872e-01
#>     [3,] -1.6222498 -1.622249760 -1.2208757 -0.74234388 -1.220876e+00
#>     [4,] -1.5899441 -1.175644044 -1.1756440 -0.56128636 -1.048729e+00
#>     [5,] -1.1377290 -1.137728983 -0.9021366 -1.43568870 -1.137729e+00
#>     [6,] -1.4243104 -1.276305837 -1.2164540 -1.42431037 -1.424310e+00
#>     [7,] -1.0154523 -1.154252914 -1.3433866 -1.34338665 -7.200382e-01
#>     [8,] -1.1482664 -1.167658767 -1.1482664 -1.06722134 -1.167659e+00
#>     [9,] -1.6399950 -1.639995004 -1.1784872 -1.34410804 -8.661050e-01
#>    [10,] -1.5530921 -1.553092126 -1.5530921 -1.29089305 -1.553092e+00
#>    [11,] -1.1446378 -1.144637802 -1.1446378 -1.14463780 -1.144638e+00
#>    [12,] -1.3097680 -1.309767992 -1.0161263 -0.99905945 -1.309768e+00
#>    [13,] -1.5557703 -1.007764349 -1.0077643 -1.55577034 -6.771833e-01
#>    [14,] -1.2607092 -1.219763556 -1.0497250 -1.07348035 -1.260709e+00
#>    [15,] -1.3510551 -1.324714666 -1.5544635 -1.29452690 -6.744361e-01
#>    [16,] -1.2795547 -1.477724222 -1.5662196 -1.08629136 -7.082467e-01
#>    [17,] -1.5242714 -1.630455545 -1.5242714 -1.01362242 -9.343418e-01
#>    [18,] -1.3656967 -1.352920861 -0.9712907 -1.06576972 -5.000927e-01
#>    [19,] -1.1628531 -1.521059421 -0.3757431 -1.33382060 -1.162853e+00
#>    [20,] -1.4035413 -1.403541295 -1.1830458 -1.40354129 -1.403541e+00
#>    [21,] -1.2198068 -1.219806830 -1.2198068 -1.21980683 -1.219807e+00
#>    [22,] -1.1694942 -1.003737347 -1.1694942 -1.00373735 -1.003737e+00
#>    [23,] -0.9544061 -1.116996997 -1.1169970 -0.95440609 -9.544061e-01
#>    [24,] -1.3754824 -1.375482435 -1.3754824 -1.37548243 -1.375482e+00
#>    [25,] -0.9714880 -0.971488009 -0.9714880 -0.97148801 -9.714880e-01
#>    [26,] -1.3357738 -1.335773808 -1.3357738 -1.33577381 -1.335774e+00
#>    [27,] -1.6007767 -1.238929380 -1.2389294 -1.23892938 -1.238929e+00
#>    [28,] -1.5783147 -1.152148470 -0.8775558 -0.98594797 -9.859480e-01
#>    [29,] -1.1685361 -1.204159457 -1.1457350 -1.16853612 -1.204159e+00
#>    [30,] -1.2103043 -1.392887833 -0.8255932 -1.18188804 -1.181888e+00
#>    [31,] -1.3455963 -1.345596334 -1.3455963 -1.67028926 -1.345596e+00
#>    [32,] -1.3519328 -1.351932784 -1.5796796 -1.35193278 -1.402567e+00
#>    [33,] -1.6991674 -1.372841142 -1.3728411 -1.37284114 -1.267706e+00
#>    [34,] -1.4437550 -1.443754956 -1.0734877 -1.44375496 -1.443755e+00
#>    [35,] -1.1819363 -1.553084279 -1.1027731 -1.10277314 -1.102773e+00
#>    [36,] -1.3935678 -1.993616701 -1.1933368 -1.19333676 -1.193337e+00
#>    [37,] -0.9916909 -1.381717159 -1.3817172 -0.99169089 -1.290282e+00
#>    [38,] -1.3923228 -1.392322849 -1.3923228 -0.90418596 -9.041860e-01
#>    [39,] -0.9611264 -1.325101043 -1.3251010 -0.96112644 -8.853389e-01
#>    [40,] -1.1110774 -1.111077379 -0.8708159 -1.11107738 -8.708159e-01
#>    [41,] -1.1669375 -1.166937484 -1.1669375 -1.24877734 -9.224306e-01
#>    [42,] -1.2971976 -1.654389997 -1.1303324 -1.13033236 -1.130332e+00
#>    [43,] -1.4098478 -1.235534736 -1.4098478 -1.40984776 -1.235535e+00
#>    [44,] -1.2767955 -1.276795488 -0.8463330 -0.84633298 -1.276795e+00
#>    [45,] -1.2545718 -1.254571836 -1.2545718 -0.91653465 -9.165347e-01
#>    [46,] -1.3405748 -1.753341525 -1.2204529 -0.68777204 -4.782669e-01
#>    [47,] -1.3209433 -1.265719800 -1.3209433 -1.09513386 -1.094581e+00
#>    [48,] -1.7905621 -1.183629855 -1.2402082 -0.80927059 -1.178753e+00
#>    [49,] -1.4797153 -1.249793524 -1.6840376 -1.39046424 -1.729304e+00
#>    [50,] -0.9775221 -1.443211394 -0.7436666 -1.34297173 -6.180464e-01
#>    [51,] -1.1529531 -1.408037009 -0.6638987 -0.85372123 -9.244590e-01
#>    [52,] -1.5140873 -1.514087264 -1.5140873 -1.01381907 -9.012248e-01
#>    [53,] -1.5271833 -1.527183251 -1.5271833 -0.40320565 -5.340204e-01
#>    [54,] -1.5841106 -1.584110585 -1.5841106 -0.89791186 -1.584111e+00
#>    [55,] -1.1458365 -1.031600967 -1.1458365 -0.95864806 -1.442477e+00
#>    [56,] -1.6792617 -1.621279999 -1.1295369 -0.88580439 -8.584557e-01
#>    [57,] -1.7946756 -1.203274968 -1.0662201 -1.13661393 -8.085968e-01
#>    [58,] -1.3037408 -1.471615761 -1.3037408 -0.99727305 -1.303741e+00
#>    [59,] -1.4108163 -1.623798458 -1.4108163 -1.27853608 -1.522127e+00
#>    [60,] -1.6181063 -1.618106303 -1.6181063 -1.04224450 -1.042244e+00
#>    [61,] -1.5522356 -1.552235590 -1.1768255 -1.17682547 -8.754332e-01
#>    [62,] -1.0729623 -1.121645337 -1.1216453 -1.07296229 -1.121645e+00
#>    [63,] -1.6641412 -1.415593038 -1.4155930 -1.33523368 -1.415593e+00
#>    [64,] -1.2381269 -1.108154860 -1.1081549 -1.33582881 -1.238127e+00
#>    [65,] -1.6156362 -1.255163734 -1.6156362 -1.06782384 -9.039431e-01
#>    [66,] -1.3749001 -1.147331102 -0.9432682 -1.14733110 -7.609675e-01
#>    [67,] -1.5177830 -1.517782985 -1.5177830 -1.04137505 -9.880445e-01
#>    [68,] -1.4848269 -1.484826861 -1.0756389 -1.07563891 -1.484827e+00
#>    [69,] -1.4162272 -1.416227192 -0.9988381 -1.47135408 -9.988381e-01
#>    [70,] -1.2135400 -1.114685488 -0.8823784 -0.88237842 -1.213540e+00
#>    [71,] -1.3100849 -1.351864834 -1.3100849 -0.82906846 -1.351865e+00
#>    [72,] -1.3768135 -1.376813464 -1.0263716 -1.37681346 -1.376813e+00
#>    [73,] -1.0528230 -1.095368792 -1.0528230 -1.09536879 -1.052823e+00
#>    [74,] -1.5490766 -1.549076648 -1.2821488 -1.09366234 -8.970726e-01
#>    [75,] -1.5039360 -1.438463589 -1.1939225 -1.19392248 -1.187671e+00
#>    [76,] -1.6621339 -1.323781164 -1.3237812 -0.79745507 -1.323781e+00
#>    [77,] -1.4366850 -0.922342108 -0.9223421 -0.92234211 -1.061666e+00
#>    [78,] -1.5812861 -1.409198460 -1.5812861 -1.33867987 -1.581286e+00
#>    [79,] -1.2693857 -1.569955904 -1.2693857 -1.36683198 -1.269386e+00
#>    [80,] -1.4392249 -1.044667809 -1.0446678 -1.43922490 -1.044668e+00
#>    [81,] -1.0690395 -1.550080167 -0.8820113 -0.88201134 -8.820113e-01
#>    [82,] -2.0585132 -1.215746768 -1.2770480 -1.21574677 -1.215747e+00
#>    [83,] -1.3135808 -1.313580837 -1.7616298 -1.31358084 -1.313581e+00
#>    [84,] -1.3545505 -1.354550487 -1.3545505 -1.06134069 -1.061341e+00
#>    [85,] -1.1337809 -1.315817257 -1.0406494 -1.04064942 -1.315817e+00
#>    [86,] -1.5459772 -1.545977184 -1.0740536 -1.54597718 -7.942802e-01
#>    [87,] -1.4372579 -1.437257935 -0.8406735 -1.43725794 -1.351809e+00
#>    [88,] -1.1608424 -1.160842390 -1.2694063 -0.95906219 -9.590622e-01
#>    [89,] -1.2648951 -1.351408461 -1.2648951 -1.26489506 -1.351408e+00
#>    [90,] -1.5299802 -1.529980221 -1.5299802 -1.52998022 -1.125800e+00
#>    [91,] -1.4175143 -1.417514324 -1.4175143 -1.41751432 -9.857141e-01
#>    [92,] -1.3311825 -1.331182456 -1.3311825 -1.10605606 -8.724757e-01
#>    [93,] -1.3624542 -1.362454195 -1.3624542 -1.22477093 -5.557311e-01
#>    [94,] -1.6657079 -1.665707880 -1.0293717 -0.96044092 -1.029372e+00
#>    [95,] -1.3513069 -1.351306857 -1.3513069 -1.20170781 -1.351307e+00
#>    [96,] -1.4483792 -1.448379166 -1.4483792 -1.14911768 -1.448379e+00
#>    [97,] -1.3930583 -1.393058272 -1.2749306 -1.39305827 -1.393058e+00
#>    [98,] -1.3214000 -1.321399984 -1.0847391 -1.08473908 -1.084739e+00
#>    [99,] -1.2846063 -1.257225004 -1.2572250 -0.84995582 -1.284606e+00
#>   [100,] -0.9615648 -1.294928330 -0.9615648 -1.31677346 -9.615648e-01
#>   [101,] -0.9679565 -1.378272683 -0.9679565 -1.79023026 -9.679565e-01
#>   [102,] -1.1767245 -1.218928928 -1.1767245 -1.17672455 -8.162190e-01
#>   [103,] -1.4971227 -1.222338572 -1.4971227 -1.22233857 -1.222339e+00
#>   [104,] -1.3385770 -1.338577015 -1.1702432 -1.33857702 -1.341274e+00
#>   [105,] -1.1403209 -1.255902266 -1.2559023 -1.25590227 -1.140321e+00
#>   [106,] -1.3035585 -1.538675641 -0.9907011 -0.95277154 -9.907011e-01
#>   [107,] -1.4625685 -1.458180678 -1.4581807 -0.86443760 -8.888893e-01
#>   [108,] -1.2946082 -1.294608230 -0.8355487 -0.98183972 -9.572280e-01
#>   [109,] -1.0020078 -1.145303362 -1.1691898 -0.75465051 -7.546505e-01
#>   [110,] -1.2725356 -1.073149119 -1.0731491 -1.27253557 -1.272536e+00
#>   [111,] -1.4061908 -1.406190828 -1.3034413 -0.82182352 -1.013624e+00
#>   [112,] -1.6002362 -1.513824598 -0.7139766 -0.54525555 -1.108868e+00
#>   [113,] -1.2116599 -1.292388582 -1.6595106 -1.21165989 -1.292389e+00
#>   [114,] -1.5971304 -0.917711759 -0.9177118 -1.20775190 -1.000550e+00
#>   [115,] -1.7072773 -1.161090268 -1.7080998 -1.34970903 -1.522271e+00
#>   [116,] -1.4136536 -1.237857052 -1.3544950 -0.69531414 -1.354495e+00
#>   [117,] -1.4317264 -1.476524905 -1.4765249 -1.19326997 -1.476525e+00
#>   [118,] -1.1819690 -1.181968956 -0.5546964 -0.82416782 -1.289067e+00
#>   [119,] -1.0199111 -1.019911131 -0.7019584 -1.34788506 -8.694528e-01
#>   [120,] -1.4479476 -1.447947584 -0.9372219 -0.99230094 -9.923009e-01
#>   [121,] -1.3394508 -1.085521361 -1.0855214 -1.08552136 -1.085521e+00
#>   [122,] -1.3039299 -1.401156500 -1.3039299 -1.40115650 -1.303930e+00
#>   [123,] -1.4799873 -1.219606949 -1.0232399 -1.05811651 -1.488257e+00
#>   [124,] -1.5454446 -1.413637469 -1.0705526 -0.88015999 -1.070553e+00
#>   [125,] -1.8143437 -1.301751444 -0.9352501 -0.93416147 -6.642205e-01
#>   [126,] -2.0813897 -1.605834451 -0.8502987 -0.97858999 -1.011097e+00
#>   [127,] -0.9806435 -0.987027551 -0.9806435 -0.40088273 -1.169315e+00
#>   [128,] -1.2044829 -0.925911833 -1.2044829 -1.08534957 -1.204483e+00
#>   [129,] -0.7887046 -1.324415263 -1.3244153 -0.67743362 -8.879613e-01
#>   [130,] -1.2993330 -1.725768586 -1.1936485 -0.76224301 -5.997121e-01
#>   [131,] -1.4446087 -1.257397962 -1.2573980 -0.64664489 -4.522649e-01
#>   [132,] -1.2752109 -1.275210939 -0.9857605 -1.57459271 -1.275211e+00
#>   [133,] -1.1421477 -0.761377674 -0.8990689 -0.87616194 -8.761619e-01
#>   [134,] -1.2675690 -1.378705636 -1.0996809 -1.26756901 -1.537849e+00
#>   [135,] -1.4502505 -1.265626133 -0.9598074 -1.25010225 -7.481707e-01
#>   [136,] -1.2774922 -1.311344620 -1.3113446 -1.27749220 -1.311345e+00
#>   [137,] -1.2098137 -1.209813748 -1.2098137 -1.20981375 -1.209814e+00
#>   [138,] -1.2455503 -1.245550282 -1.2455503 -1.24555028 -1.245550e+00
#>   [139,] -1.3169562 -1.316956192 -0.6320788 -1.31695619 -6.320788e-01
#>   [140,] -1.5690661 -1.126362638 -1.1263626 -1.09816544 -1.126363e+00
#>   [141,] -1.3875137 -1.080804308 -1.3875137 -1.08080431 -1.080804e+00
#>   [142,] -1.1875170 -1.187517019 -0.8502928 -1.18751702 -1.187517e+00
#>   [143,] -1.2705273 -1.647652932 -0.9444212 -0.94442119 -9.444212e-01
#>   [144,] -1.2703997 -1.270399735 -1.1116588 -1.11165883 -1.111659e+00
#>   [145,] -0.8601499 -1.144712177 -1.1447122 -1.14471218 -8.601499e-01
#>   [146,] -1.3969408 -1.396940802 -1.3969408 -1.39694080 -1.396941e+00
#>   [147,] -1.0937401 -1.093740090 -1.0937401 -0.92790711 -9.279071e-01
#>   [148,] -1.5085995 -1.586786612 -1.2187247 -0.99115665 -9.911567e-01
#>   [149,] -0.9328103 -1.304039793 -0.9328103 -0.93281030 -9.328103e-01
#>   [150,] -1.2143545 -1.240732487 -1.2143545 -1.24073249 -1.214355e+00
#>   [151,] -1.3611194 -1.361119391 -1.3611194 -0.93598766 -1.361119e+00
#>   [152,] -1.4088941 -1.408894131 -1.4088941 -1.06245786 -1.408894e+00
#>   [153,] -1.4771968 -1.477196764 -1.4771968 -0.80861037 -8.086104e-01
#>   [154,] -1.3942974 -1.394297409 -1.1722138 -1.39429741 -1.394297e+00
#>   [155,] -1.4874534 -1.846756858 -1.0921226 -1.09212265 -1.092123e+00
#>   [156,] -1.3102307 -1.118792173 -1.1187922 -1.11879217 -6.625571e-01
#>   [157,] -1.3256870 -1.324246985 -1.3256870 -1.27802054 -8.260534e-01
#>   [158,] -1.6263531 -1.376944097 -1.0519392 -0.99953929 -9.995393e-01
#>   [159,] -1.3898836 -1.389883590 -1.2468169 -0.87364113 -1.042183e+00
#>   [160,] -1.7524588 -1.267029257 -1.1939559 -1.14361039 -8.341641e-01
#>   [161,] -1.6678402 -1.394021782 -1.1534824 -1.23377810 -7.955412e-01
#>   [162,] -1.1894375 -1.210602049 -1.1894375 -0.99172940 -9.682914e-01
#>   [163,] -1.6874214 -1.407789058 -1.4077891 -1.67128338 -1.209761e+00
#>   [164,] -0.8521136 -0.852113633 -1.0809060 -0.85211363 -1.080906e+00
#>   [165,] -1.1757498 -1.287510111 -1.1757498 -1.28751011 -1.287510e+00
#>   [166,] -1.3048902 -1.304890170 -1.3048902 -1.30489017 -1.304890e+00
#>   [167,] -1.3252519 -1.042337790 -1.0423378 -1.04233779 -1.231603e+00
#>   [168,] -1.1341536 -1.309689175 -1.1341536 -1.09295830 -1.134154e+00
#>   [169,] -0.8011555 -1.560341015 -1.1888195 -1.23746806 -8.011555e-01
#>   [170,] -1.2530136 -1.253013602 -1.2530136 -1.25301360 -1.253014e+00
#>   [171,] -1.3519473 -1.351947315 -1.3519473 -1.35194732 -7.138587e-01
#>   [172,] -1.1728408 -1.172840831 -1.1728408 -1.17284083 -1.095424e+00
#>   [173,] -1.3719690 -1.371969012 -1.2236717 -1.37196901 -1.223672e+00
#>   [174,] -1.1226111 -1.122611065 -1.1226111 -1.12261107 -1.122611e+00
#>   [175,] -1.2616973 -1.261697256 -1.2616973 -1.26169726 -1.261697e+00
#>   [176,] -1.1789256 -1.178925602 -1.1789256 -1.17892560 -1.178926e+00
#>   [177,] -1.4246206 -1.424620564 -1.4246206 -1.42462056 -1.424621e+00
#>   [178,] -1.2986729 -1.298672859 -1.2986729 -1.29867286 -1.298673e+00
#>   [179,] -1.2235350 -1.223534988 -1.2235350 -1.04703617 -1.223535e+00
#>   [180,] -1.2395171 -1.239517092 -1.2395171 -1.23951709 -1.239517e+00
#>   [181,] -1.2620870 -1.262086991 -1.2620870 -1.02094749 -1.020947e+00
#>   [182,] -1.4861805 -1.486180537 -0.8896415 -1.48618054 -1.486181e+00
#>   [183,] -1.2588183 -1.258818296 -1.2588183 -1.25881830 -1.258818e+00
#>   [184,] -1.1466396 -1.146639630 -1.1466396 -1.14663963 -1.146640e+00
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#>  [1892,] -1.2210100 -1.071543522 -1.2210100 -1.22100998 -1.071544e+00
#>  [1893,] -1.4410533 -1.105662241 -1.4410533 -1.10566224 -1.441053e+00
#>  [1894,] -1.3732853 -1.496505648 -0.5171292 -1.37328529 -1.003386e+00
#>  [1895,] -1.2009286 -1.200928587 -1.2009286 -1.09711981 -1.200929e+00
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#>  [1897,] -1.1076974 -1.107697352 -1.0518924 -1.05189243 -1.051892e+00
#>  [1898,] -1.1488576 -1.148857641 -1.1488576 -1.14885764 -1.148858e+00
#>  [1899,] -1.0476331 -1.047633102 -1.0476331 -1.04763310 -1.047633e+00
#>  [1900,] -1.3519706 -1.351970594 -1.3519706 -1.35197059 -1.351971e+00
#>  [1901,] -1.4070877 -1.071840633 -1.0718406 -1.40708770 -1.407088e+00
#>  [1902,] -1.0438419 -1.043841915 -1.0438419 -1.04384192 -9.964542e-01
#>  [1903,] -1.1206452 -1.120645217 -0.9727327 -1.12064522 -1.120645e+00
#>  [1904,] -1.2380551 -1.094134210 -1.0941342 -1.09413421 -1.094134e+00
#>  [1905,] -1.2026672 -1.798305312 -0.8163976 -1.20266716 -5.628995e-01
#>  [1906,] -0.9692377 -1.129778794 -0.9692377 -0.96923766 -8.627206e-01
#>  [1907,] -1.3448778 -1.344877818 -1.3448778 -1.13434476 -1.344878e+00
#>  [1908,] -1.1667186 -1.302207101 -1.1667186 -1.16671857 -1.302207e+00
#>  [1909,] -1.2390403 -1.239040292 -1.2390403 -1.23904029 -1.239040e+00
#>  [1910,] -1.3061776 -1.306177574 -1.3061776 -1.30617757 -1.306178e+00
#>  [1911,] -1.5326286 -1.445770851 -1.1408648 -1.14086479 -1.140865e+00
#>  [1912,] -1.2982793 -1.298279337 -1.0474192 -1.04741916 -1.047419e+00
#>  [1913,] -1.1780305 -1.715832592 -1.1810307 -0.86754406 -9.629965e-01
#>  [1914,] -1.6239194 -1.623919450 -1.3665491 -1.62391945 -1.623919e+00
#>  [1915,] -1.6168328 -1.616832757 -1.1889016 -1.06492453 -1.064925e+00
#>  [1916,] -1.5228873 -1.522887285 -1.1300730 -0.95140387 -7.866874e-01
#>  [1917,] -0.9344472 -1.148281566 -1.1482816 -1.14828157 -7.506809e-01
#>  [1918,] -1.3903669 -1.390366900 -1.3903669 -1.39036690 -1.390367e+00
#>  [1919,] -1.3787950 -1.378794980 -1.3787950 -1.37879498 -1.378795e+00
#>  [1920,] -1.2748472 -1.274847218 -0.7883678 -1.27484722 -1.274847e+00
#>  [1921,] -1.2035579 -1.203557885 -1.2035579 -1.20355788 -1.245730e+00
#>  [1922,] -1.4185238 -1.418523790 -1.4185238 -1.41852379 -1.418524e+00
#>  [1923,] -1.2233292 -0.910599693 -1.2233292 -0.89143023 -7.881577e-01
#>  [1924,] -0.8286711 -1.260652052 -0.8286711 -0.82867115 -9.593473e-01
#>  [1925,] -1.4775972 -0.919074966 -1.4775972 -0.89439104 -8.721448e-01
#>  [1926,] -1.9721379 -1.100917834 -1.1009178 -1.10091783 -1.258127e+00
#>  [1927,] -0.7327544 -1.063740348 -1.3406487 -1.34064872 -1.340649e+00
#>  [1928,] -1.2605575 -1.260557497 -1.2605575 -1.14544294 -1.260557e+00
#>  [1929,] -1.3695840 -1.076594624 -1.0765946 -1.36958404 -1.076595e+00
#>  [1930,] -1.3955363 -1.299632860 -1.0242971 -1.33850600 -1.024297e+00
#>  [1931,] -1.3519146 -1.458560108 -1.4529766 -1.45297659 -1.351915e+00
#>  [1932,] -1.9332579 -1.333269336 -1.9179594 -1.26539652 -1.333269e+00
#>  [1933,] -1.5072818 -1.507281835 -1.9300207 -1.26434898 -1.507282e+00
#>  [1934,] -1.1872026 -1.187202645 -1.1872026 -1.22610599 -1.338332e+00
#>  [1935,] -1.2934425 -1.293442524 -1.0115433 -1.29344252 -1.419235e+00
#>  [1936,] -1.2182177 -1.385632762 -0.9072248 -1.21821766 -1.218218e+00
#>  [1937,] -1.5344211 -1.437624277 -1.1195868 -1.18949822 -1.034858e+00
#>  [1938,] -1.8664374 -1.630963203 -1.0461593 -1.68920045 -1.046159e+00
#>  [1939,] -2.2183269 -1.646881472 -0.7100081 -1.13474842 -1.047841e+00
#>  [1940,] -1.5044548 -1.169242917 -1.1692429 -1.16924292 -1.093763e+00
#>  [1941,] -1.1965862 -1.139578292 -1.1395783 -1.19658616 -1.085650e+00
#>  [1942,] -1.1770155 -1.533386381 -1.1770155 -1.17701547 -1.177015e+00
#>  [1943,] -1.3056240 -1.305624028 -1.3056240 -1.30562403 -1.305624e+00
#>  [1944,] -1.2282212 -1.228221235 -1.2282212 -1.22822123 -2.600885e-01
#>  [1945,] -1.3097003 -1.309700268 -0.9274116 -1.12225352 -1.309700e+00
#>  [1946,] -1.3839351 -1.383935109 -1.3839351 -1.50859608 -9.921030e-01
#>  [1947,] -1.3232328 -1.439827401 -1.3232328 -1.43982740 -1.644319e+00
#>  [1948,] -1.6673115 -1.278006829 -0.9575924 -0.95759243 -1.667312e+00
#>  [1949,] -1.3700134 -1.697807252 -0.7698806 -0.76988059 -7.698806e-01
#>  [1950,] -1.3869839 -1.386983941 -1.3869839 -1.38698394 -1.386984e+00
#>  [1951,] -1.2557923 -1.255792305 -1.2557923 -1.25579230 -1.255792e+00
#>  [1952,] -1.2204310 -1.220430994 -1.2204310 -1.22043099 -1.220431e+00
#>  [1953,] -1.2029726 -1.202972582 -1.2029726 -1.20297258 -1.202973e+00
#>  [1954,] -1.2225435 -1.222543471 -1.2225435 -1.22254347 -1.129318e+00
#>  [1955,] -1.5066943 -1.506694346 -0.9027305 -1.26611390 -1.506694e+00
#>  [1956,] -1.1363374 -1.136337424 -1.1363374 -1.13633742 -1.136337e+00
#>  [1957,] -1.3486498 -1.260788707 -1.2607887 -1.26078871 -1.260789e+00
#>  [1958,] -1.5745363 -1.574536298 -1.5745363 -1.57453630 -9.516423e-01
#>  [1959,] -1.5439200 -1.543919975 -1.2439118 -1.24391176 -1.243912e+00
#>  [1960,] -1.2908417 -1.395543310 -1.2908417 -1.29084166 -6.204969e-01
#>  [1961,] -1.1562332 -1.849766040 -1.1124575 -0.84355558 -1.284456e+00
#>  [1962,] -0.8352081 -1.192935784 -1.2435494 -1.24354943 -1.243549e+00
#>  [1963,] -1.3416900 -1.260527349 -1.1999088 -1.19990881 -1.060313e+00
#>  [1964,] -1.3169334 -1.215749758 -1.1731711 -1.24681673 -6.961073e-01
#>  [1965,] -1.8355660 -1.243132834 -1.2001159 -1.31911506 -1.319115e+00
#>  [1966,] -1.5934650 -1.273466961 -1.2330874 -0.72125928 -1.200794e+00
#>  [1967,] -1.4079358 -1.381929155 -1.3819292 -0.55260570 -8.686096e-01
#>  [1968,] -1.5046485 -1.631224109 -1.0669340 -1.06693402 -1.066934e+00
#>  [1969,] -1.2876467 -1.191819156 -1.4589520 -1.28764672 -1.287647e+00
#>  [1970,] -1.5460465 -1.075800635 -1.0758006 -1.21113263 -8.800636e-01
#>  [1971,] -1.1451734 -1.145173380 -0.9718349 -0.97183491 -1.145173e+00
#>  [1972,] -1.3129575 -1.173660682 -1.3129575 -1.31295745 -1.173661e+00
#>  [1973,] -1.0697823 -1.406776166 -1.1384248 -1.40677617 -1.069782e+00
#>  [1974,] -1.0889185 -1.581157558 -0.9478638 -1.10952005 -1.080386e+00
#>  [1975,] -1.4185081 -1.263633148 -1.2149749 -0.55545410 -1.056304e+00
#>  [1976,] -1.1623710 -0.902303259 -1.1623710 -1.16237105 -1.162371e+00
#>  [1977,] -1.1761943 -1.023723708 -1.0237237 -1.02372371 -1.182093e+00
#>  [1978,] -1.4290781 -0.887879097 -1.2605055 -0.94129770 -9.412977e-01
#>  [1979,] -1.4910291 -1.491029053 -1.1671806 -1.49102905 -1.155667e+00
#>  [1980,] -1.3667411 -1.366741108 -1.3667411 -1.25306579 -1.233325e+00
#>  [1981,] -1.2231841 -1.155893411 -1.2231841 -1.05139748 -1.155893e+00
#>  [1982,] -1.1973784 -1.454932395 -0.9894712 -1.16981995 -9.917508e-01
#>  [1983,] -1.3199098 -1.489383098 -1.3199098 -1.08370639 -1.319910e+00
#>  [1984,] -1.1711307 -1.765071848 -1.4303813 -1.78841108 -1.447654e+00
#>  [1985,] -1.7029471 -1.702947135 -1.1661424 -1.16614239 -1.166142e+00
#>  [1986,] -1.1054185 -1.105418526 -1.1054185 -1.10541853 -1.146325e+00
#>  [1987,] -1.2307308 -1.194818728 -0.8374324 -1.23073076 -8.450240e-01
#>  [1988,] -1.4392866 -1.481017042 -1.4810170 -1.34183017 -8.487359e-01
#>  [1989,] -1.2180748 -1.073123638 -1.2180748 -1.21807481 -1.218075e+00
#>  [1990,] -1.1407809 -1.016534282 -0.9787561 -1.01653428 -1.140781e+00
#>  [1991,] -1.1731421 -1.173142100 -1.1731421 -1.17314210 -1.173142e+00
#>  [1992,] -1.2299116 -1.229911611 -0.9819910 -0.98199099 -9.819910e-01
#>  [1993,] -1.3434981 -1.338057116 -0.9319184 -1.40286633 -1.266142e+00
#>  [1994,] -1.0904279 -1.352296583 -1.5228487 -1.30429131 -1.394961e+00
#>  [1995,] -1.2866079 -1.703737832 -1.5376437 -1.02513839 -6.268118e-01
#>  [1996,] -1.6193101 -1.865463922 -1.0910964 -0.75620244 -8.188198e-01
#>  [1997,] -1.4562207 -1.697175677 -0.8943926 -1.05716334 -9.107395e-01
#>  [1998,] -1.0088944 -1.161753791 -1.0088944 -1.16175379 -1.084533e+00
#>  [1999,] -1.5785103 -1.299569932 -1.2995699 -1.05629898 -1.056299e+00
#>  [2000,] -1.4615183 -1.461518282 -1.4615183 -0.76202351 -7.572123e-01
#>  [2001,] -1.4681659 -1.468165861 -1.4681659 -1.14005272 -8.006457e-01
#>  [2002,] -1.4329621 -1.432962054 -1.0530783 -1.05307834 -9.166404e-01
#>  [2003,] -1.2586353 -1.110343082 -1.2586353 -0.58465132 -1.417020e+00
#>  [2004,] -1.3565472 -1.141471171 -1.1233000 -0.84892360 -9.576956e-01
#>  [2005,] -1.4779865 -1.308453551 -1.0904145 -1.09041447 -8.875182e-01
#>  [2006,] -1.7553595 -1.278904887 -1.2789049 -1.27890489 -9.625994e-01
#>  [2007,] -1.1235469 -1.120523451 -0.9412987 -1.09480871 -7.191964e-01
#>  [2008,] -1.2965659 -1.296565929 -1.0621522 -1.06215221 -6.252471e-01
#>  [2009,] -1.6498789 -1.393896806 -1.5231463 -0.77579793 -7.757979e-01
#>  [2010,] -1.5713566 -1.547256115 -1.5713566 -1.02068507 -1.313297e+00
#>  [2011,] -1.6059671 -1.605967082 -1.5634117 -1.15572522 -6.202645e-01
#>  [2012,] -1.5307424 -1.530742368 -0.8052069 -1.06889098 -1.530742e+00
#>  [2013,] -1.1686903 -1.168690334 -1.1686903 -0.93682005 -9.368200e-01
#>  [2014,] -1.4829956 -1.152841081 -0.7588798 -0.81696002 -1.152841e+00
#>  [2015,] -0.7798825 -1.268693242 -1.0364554 -0.77988247 -9.301505e-01
#>  [2016,] -1.5435275 -1.078183631 -1.0781836 -1.07282186 -1.072822e+00
#>  [2017,] -1.3588586 -1.358858591 -0.9898087 -0.55161096 -9.898087e-01
#>  [2018,] -1.2752264 -1.239495225 -1.2394952 -1.23949522 -1.100762e+00
#>  [2019,] -1.5219670 -1.521967035 -1.5219670 -1.17822092 -1.295931e+00
#>  [2020,] -1.3438437 -1.308813256 -1.3088133 -1.53896653 -1.009632e+00
#>  [2021,] -1.1849913 -1.184991330 -1.1849913 -1.18499133 -1.184991e+00
#>  [2022,] -1.1542042 -1.154204222 -1.1542042 -1.15420422 -1.154204e+00
#>  [2023,] -1.1039571 -1.103957062 -1.1039571 -1.10395706 -1.103957e+00
#>  [2024,] -1.1726812 -1.172681178 -1.1726812 -1.17268118 -1.172681e+00
#>  [2025,] -1.0332588 -1.033258790 -1.0332588 -1.03325879 -1.033259e+00
#>  [2026,] -1.1046445 -1.104644456 -1.1046445 -1.10464446 -1.104644e+00
#>  [2027,] -1.2730159 -1.273015922 -1.2730159 -1.27301592 -1.273016e+00
#>  [2028,] -1.1744530 -1.174452997 -1.1744530 -1.17445300 -1.174453e+00
#>  [2029,] -1.2696832 -1.408396712 -1.0830567 -1.08305673 -1.083057e+00
#>  [2030,] -1.2107236 -1.481069119 -1.1081272 -1.21072365 -1.144212e+00
#>  [2031,] -1.5351341 -1.399601920 -1.0480909 -1.39960192 -8.888390e-01
#>  [2032,] -1.7448586 -1.744858580 -0.9953497 -1.51780697 -1.131647e+00
#>  [2033,] -1.7526045 -1.431253086 -1.1596964 -1.35917772 -1.359178e+00
#>  [2034,] -1.1187548 -1.481428397 -1.4577950 -1.06707449 -7.028892e-01
#>  [2035,] -1.3643335 -1.050215064 -0.6504012 -0.92230572 -3.908710e-01
#>  [2036,] -1.5539988 -1.509351783 -0.6698895 -1.05999451 -1.075227e+00
#>  [2037,] -0.7528517 -1.316851286 -0.8104280 -1.27423762 -8.104280e-01
#>  [2038,] -1.3885312 -1.624175770 -0.9896228 -1.00470182 -4.546019e-01
#>  [2039,] -1.7487280 -1.567661617 -1.0170821 -0.98319559 -1.017082e+00
#>  [2040,] -1.5406611 -1.545119617 -1.0480797 -0.91549588 -1.264239e+00
#>  [2041,] -1.7833039 -1.572420782 -1.5724208 -1.09008804 -6.889164e-01
#>  [2042,] -1.3632366 -1.363236630 -1.3632366 -0.90393696 -9.469672e-01
#>  [2043,] -1.1192201 -1.119220098 -1.2102560 -1.18869508 -1.107985e+00
#>  [2044,] -1.5354385 -1.330835348 -1.2686009 -1.14254117 -1.185196e+00
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#>  [9999,] -1.6386078 -1.489850389 -1.4898504 -1.63860780 -8.789024e-01
#> [10000,] -1.6717878 -1.427175551 -1.4271756 -0.61693045 -9.897694e-01
#>                   [,6]          [,7]          [,8]         [,9]
#>     [1,] -1.901390e-01  4.031300e-01  0.4031300077  0.587456265
#>     [2,]  4.959119e-01  6.539904e-01  0.6539904429  0.752661247
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#>   [165,]  7.582786e-01  7.582786e-01  0.6871998066  0.758278591
#>   [166,]  2.949932e-01  6.833969e-01  0.6833968912  0.683396891
#>   [167,]  3.035742e-01  4.983886e-01  0.4514659528  0.498388621
#>   [168,]  4.298798e-01  4.324345e-01  0.4298798200  0.429879820
#>   [169,]  3.952152e-01  5.204531e-01  0.3952151953  0.395215195
#>   [170,]  4.114800e-01  4.114800e-01  0.4114799637  0.411479964
#>   [171,]  5.036613e-01  5.036613e-01  0.5036613187  0.503661319
#>   [172,]  5.157023e-01  5.157023e-01  0.5157023095  0.515702309
#>   [173,]  5.761591e-01  5.761591e-01  0.5761590958  0.576159096
#>   [174,]  5.084828e-01  5.084828e-01  0.5084828472  0.508482847
#>   [175,]  3.640016e-01  3.640016e-01  0.3640015782  0.364001578
#>   [176,]  5.656867e-01  5.656867e-01  0.5656867421  0.565686742
#>   [177,]  3.680510e-01  3.680510e-01  0.3680510197  0.368051020
#>   [178,]  4.313342e-01  4.313342e-01  0.4313342259  0.431334226
#>   [179,]  7.239361e-01  7.239361e-01  0.7239360961  0.723936096
#>   [180,]  7.722320e-01  7.722320e-01  0.7722320030  0.772232003
#>   [181,] -2.502605e-02  6.278007e-01  0.6278007423  0.627800742
#>   [182,] -1.395417e-01  4.841731e-01  0.4841730683  0.484173068
#>   [183,]  5.273179e-01  5.273179e-01  0.5273178633  0.520754475
#>   [184,]  5.612564e-01  5.612564e-01  0.5612564174  0.561256417
#>   [185,]  3.493595e-01  3.493595e-01  0.3493595096  0.349359510
#>   [186,]  4.962721e-01  4.962721e-01  0.4962720629  0.496272063
#>   [187,]  3.566578e-01  3.566578e-01  0.3566578148  0.356657815
#>   [188,]  5.295014e-01  5.295014e-01  0.5295014185  0.529501419
#>   [189,]  4.104348e-01  5.894502e-01  0.5894502429  0.589450243
#>   [190,]  4.601244e-01  4.601244e-01  0.6145043312  0.614504331
#>   [191,]  6.423833e-01  6.423833e-01  0.6423833304  0.642383330
#>   [192,]  1.468831e-02  5.339737e-01  0.6639015914  0.663901591
#>   [193,]  2.240059e-02  3.637410e-01  0.3637410109  0.363741011
#>   [194,]  3.395559e-01  4.101482e-01  0.4101481622  0.339555946
#>   [195,]  4.026751e-01  4.026751e-01  0.7900401524  0.243655384
#>   [196,]  1.477032e-01  3.879694e-01  0.1474638092  0.387969423
#>   [197,]  1.404845e-01  4.988753e-01  0.4988753399  0.444875693
#>   [198,] -9.128423e-03  6.676377e-01  0.3942078754  1.279867665
#>   [199,] -7.569963e-02  4.242678e-01  0.6196152756  0.841978240
#>   [200,]  4.501762e-02  5.268734e-01  0.5268734106  0.592334492
#>   [201,]  3.766529e-02  1.171908e-01  0.8048745942  0.323517983
#>   [202,]  4.266794e-01  3.187237e-01  0.7075990255  0.707599025
#>   [203,] -1.040453e-01  2.792218e-01  0.6638322829  0.663832283
#>   [204,]  2.449904e-01  2.382767e-01  0.7997061518  0.799706152
#>   [205,]  2.050206e-01  5.342027e-01  0.6791633206  0.679163321
#>   [206,]  4.214109e-01  4.214109e-01  0.4214109401  0.421410940
#>   [207,]  6.054067e-01  6.054067e-01  0.6054066569  0.605406657
#>   [208,] -6.141711e-02  4.910865e-01  0.4910865211  0.491086521
#>   [209,]  2.542094e-01  2.542094e-01  0.2542093923  0.873169453
#>   [210,]  1.677295e-01  5.967177e-01  0.8493589860  0.596717670
#>   [211,]  4.820560e-01  4.820560e-01  0.5236812354  0.482056038
#>   [212,]  1.524994e-01  1.524994e-01  0.4863124754  0.472645286
#>   [213,]  2.611755e-01  5.740584e-01  0.7876786997  0.574058398
#>   [214,]  6.057363e-01  3.876574e-01  0.6057362843  0.605736284
#>   [215,]  6.012975e-01  6.666735e-01  0.6666735455  0.666673545
#>   [216,]  4.300949e-01  3.583263e-01  1.0237511323  0.430094942
#>   [217,] -1.337348e-01  6.050658e-01  0.4826881918  1.044476802
#>   [218,]  2.104586e-01  5.111779e-01  0.8699506431  0.511177896
#>   [219,]  5.173440e-01  5.173440e-01  0.5173440022  0.517344002
#>   [220,]  4.172595e-01  4.172595e-01  0.4172594766  0.417259477
#>   [221,]  6.155156e-01  6.155156e-01  0.6155155589  0.615515559
#>   [222,]  3.924117e-01  3.924117e-01  0.3924116544  0.392411654
#>   [223,]  3.834263e-01  4.195532e-01  0.4195532321  0.419553232
#>   [224,]  5.245655e-01  5.245655e-01  0.5245654949  0.524565495
#>   [225,]  4.264813e-01  3.105697e-01  0.4264813246  0.426481325
#>   [226,]  2.737394e-01  1.013813e+00  0.2337151965  1.013813335
#>   [227,]  3.093152e-01  6.534803e-01  0.5731523104  0.653480307
#>   [228,] -8.103467e-02  7.081188e-01  0.5439349811  0.543934981
#>   [229,]  8.897417e-02  7.926143e-01  0.5007542253  0.810517274
#>   [230,]  4.643564e-01  5.092108e-01  0.5092107573  1.015817752
#>   [231,]  1.420537e-01  7.753111e-01  0.3716946163  0.850831580
#>   [232,]  3.477075e-01  7.801040e-01  0.9319962926  0.860134713
#>   [233,]  4.531297e-01  5.587196e-01  0.9023408820  0.542340067
#>   [234,] -3.031199e-01  3.824935e-01  0.8375219916  0.726377283
#>   [235,]  7.174533e-01  6.645045e-01  0.4782070464  0.483068351
#>   [236,]  4.222527e-01  5.118994e-01  0.6063424911  0.709207189
#>   [237,] -2.196918e-01  5.228940e-01  0.3352251537  1.120705014
#>   [238,]  1.081008e-01  8.160220e-02  0.2071674417  0.838563406
#>   [239,] -8.101728e-02  6.436324e-01  0.6436323634  0.643632363
#>   [240,] -2.068475e-01  6.835488e-01  0.6835488130  0.683548813
#>   [241,] -1.626506e-01  4.426448e-01  0.4426447662  1.373237569
#>   [242,]  3.187202e-01  4.395322e-01  0.3187202362  0.439532164
#>   [243,]  4.607593e-01  4.607593e-01  0.4607593375  0.460759337
#>   [244,]  2.498362e-02  5.244481e-01  0.5244481052  0.575251590
#>   [245,]  2.940701e-02  7.430283e-01  0.7430283153  0.743028315
#>   [246,]  4.602633e-01  5.961399e-01  0.5765272810  0.636528325
#>   [247,]  2.874802e-01  9.605598e-01  0.9605597679  0.287480243
#>   [248,]  7.105332e-01  5.360661e-01  0.5360660532  0.710533215
#>   [249,]  1.077921e-01  2.879224e-01  0.2879223917  0.761511909
#>   [250,] -9.759480e-02  6.054890e-01  0.5253164647  0.144447539
#>   [251,]  8.917271e-02  8.917271e-02  0.5964577707  0.333860623
#>   [252,]  6.563835e-03  1.854932e-01  0.4479103280  0.447910328
#>   [253,]  3.137305e-01  5.829156e-01  0.5395633106  0.313730457
#>   [254,]  1.535744e-01  8.214592e-01  0.6588482722  0.658848272
#>   [255,]  2.556967e-01  9.095555e-01  0.2556966631  0.392505338
#>   [256,]  4.156621e-01  4.156621e-01  0.4156621271  0.415662127
#>   [257,]  3.579592e-01  3.579592e-01 -0.0675905093  0.836074698
#>   [258,]  2.118763e-01  3.933418e-01  0.7281321141  1.045780920
#>   [259,]  1.029260e-01  1.754426e-01  0.5706387950  0.738698160
#>   [260,]  4.649942e-01  4.649942e-01  0.4223724687  0.464994207
#>   [261,]  4.139667e-01  4.441644e-01  0.4758076420  0.413966704
#>   [262,]  3.659234e-01  6.635346e-01  0.6635346176  0.790407767
#>   [263,]  6.499579e-01  6.499579e-01  0.0391177376  1.063899560
#>   [264,]  3.517532e-01  7.142365e-01  0.3517532066  1.041992273
#>   [265,] -3.220986e-01  8.299125e-01  0.2295485903  0.720727372
#>   [266,]  7.157102e-02  8.552138e-01  0.7237922120  0.654069738
#>   [267,]  1.281508e-01  3.431522e-01  0.2847469951  0.887154777
#>   [268,]  2.349926e-02  4.123248e-01  0.6438670190  0.950996850
#>   [269,]  4.026487e-01  4.026487e-01  0.4754221222  0.610178741
#>   [270,]  5.562920e-01  4.674149e-01  0.4674148653  0.556291966
#>   [271,]  1.374583e-01  4.260930e-01  0.3515309340  0.934433309
#>   [272,]  3.445529e-01  4.524691e-01  0.4175899424  0.452469070
#>   [273,]  6.652751e-01  6.652751e-01  0.6652750636  0.757382441
#>   [274,] -5.147477e-02  5.758486e-01  0.2744846912  0.636438513
#>   [275,]  1.467007e-01  5.949683e-01  0.5949683134  0.826815487
#>   [276,]  6.948307e-01  7.760377e-01  0.5750016013  0.694830679
#>   [277,]  3.824283e-01  8.085209e-01  0.8085209176  0.531214754
#>   [278,] -2.395645e-02  4.555940e-01  0.8563718963  0.797239954
#>   [279,] -1.293138e-01  6.722793e-01  0.8236224430  0.622319673
#>   [280,]  3.779889e-01  6.416955e-01  0.6486954645  0.648695464
#>   [281,]  1.486246e-01  9.571754e-01  0.2192062452  0.996776479
#>   [282,]  6.971608e-01  2.160351e-01  0.8583980124  0.858398012
#>   [283,]  4.239239e-01  7.713431e-01  0.4239238611  0.771343121
#>   [284,]  3.311673e-01  3.200511e-01  0.6147227596  0.987713046
#>   [285,]  3.016193e-01  3.754714e-01  0.3754714280  1.259036002
#>   [286,]  1.266115e-02  6.691120e-01  0.2951651721  1.064688725
#>   [287,]  1.882903e-01  1.882903e-01  0.5787529830  1.039069427
#>   [288,]  3.512099e-01  3.512099e-01  0.7837740727  0.593257872
#>   [289,]  3.276777e-01  7.767488e-01  0.7767488284  1.149237682
#>   [290,] -1.265350e-02 -6.053508e-02  0.4758350034  1.033304798
#>   [291,]  1.857517e-01  1.857517e-01  0.3464301278  0.821418619
#>   [292,]  2.080247e-01  2.997992e-01  0.0575615386  0.964661113
#>   [293,]  4.347020e-01  7.346388e-01  0.3614953613  0.830710414
#>   [294,]  2.607980e-01  4.951386e-01  0.4807566498  0.980600280
#>   [295,]  2.166339e-01  6.579383e-01  0.4669411133  0.615147595
#>   [296,] -2.477768e-01  6.143795e-01  0.2819416185  0.335714191
#>   [297,]  2.379499e-01  2.379499e-01  0.4761274603  0.476127460
#>   [298,]  6.069674e-01  5.345601e-01  0.5345600974  0.534560097
#>   [299,]  6.406853e-01  6.406853e-01  0.6406853059  0.213738828
#>   [300,]  3.608406e-01  3.608406e-01  0.9119795283  0.764983982
#>   [301,]  1.647476e-01  6.219076e-01  0.7223062277  0.643268382
#>   [302,]  2.598898e-01  3.248967e-01  0.7793536526  0.765091109
#>   [303,]  3.583898e-01  5.204422e-01  0.5204421869  0.520442187
#>   [304,]  2.870409e-01  5.727844e-01  0.6370752810  0.287040901
#>   [305,]  4.422787e-01  5.269760e-01  0.4422787324  0.442278732
#>   [306,]  4.487701e-01  7.367181e-01  0.7367180763  0.736718076
#>   [307,]  4.957387e-01  4.957387e-01  0.5291926522  0.495738673
#>   [308,]  3.345408e-01  3.345408e-01  0.3345407552  0.738491400
#>   [309,]  4.021088e-01  4.021088e-01  0.6816099703  0.807276114
#>   [310,]  1.792296e-01  8.102950e-01  0.4469367414  0.404979261
#>   [311,]  1.875988e-01  1.690334e-01  0.6554639767  0.655463977
#>   [312,] -2.506621e-02  3.511624e-01  0.2512463186  0.567759851
#>   [313,]  2.545373e-01  5.093481e-01  0.2274797101  0.605474229
#>   [314,]  3.970927e-01  5.152303e-01  0.5152303097  0.515230310
#>   [315,]  3.355075e-01  6.873752e-01  0.3355075208  0.687375215
#>   [316,]  7.467219e-02  5.033685e-01  0.5033685406  0.503368541
#>   [317,]  4.505933e-01  4.505933e-01  0.4505932601  0.450593260
#>   [318,]  4.573316e-01  4.573316e-01  0.4573316358  0.457331636
#>   [319,]  4.078923e-01  4.078923e-01  0.4078922628  0.407892263
#>   [320,]  2.819728e-01  2.619556e-01  0.2819728349  0.281972835
#>   [321,]  6.403371e-01  6.403371e-01  0.5466108798  1.112475217
#>   [322,]  2.253319e-01  5.477530e-01  0.2008758579  0.547753039
#>   [323,]  5.506536e-01  4.089028e-01  0.4032812971  0.782016788
#>   [324,]  3.077607e-01  8.061038e-01  0.3077607466  0.806103786
#>   [325,]  2.981252e-01  4.627703e-01  0.4627702634  0.456868092
#>   [326,] -1.958144e-01  4.597224e-01  0.4597224017  0.459722402
#>   [327,]  6.013772e-01  6.013772e-01  0.6013771628  0.601377163
#>   [328,] -9.107776e-02  5.999887e-01  0.5999887449  0.599988745
#>   [329,]  8.028317e-02  5.515106e-01  0.5515105826  0.551510583
#>   [330,] -3.345752e-01  7.295999e-01  0.7295999328  0.729599933
#>   [331,]  1.967871e-01  1.967871e-01  0.4062113687  0.734557640
#>   [332,]  3.331184e-01  9.319490e-02  0.3331183790  1.062306905
#>   [333,] -2.145939e-01  7.847693e-01  0.4589460931  0.784769273
#>   [334,]  3.743196e-01  3.743196e-01  0.3743195682  0.374319568
#>   [335,]  2.992508e-01  2.992508e-01  0.2992507592  0.299250759
#>   [336,]  5.735407e-01  5.735407e-01  0.5735406924  0.573540692
#>   [337,]  5.224454e-01  5.224454e-01  0.5224453560  0.522445356
#>   [338,]  3.429261e-01  3.456387e-01  0.2760279361  0.827275517
#>   [339,]  2.263220e-01  4.796095e-01  0.1714793948  0.719311669
#>   [340,]  2.502220e-01  2.836860e-01  0.3805229741  0.651693868
#>   [341,] -1.236889e-01  8.071524e-01  0.6095927047  0.501148365
#>   [342,] -1.270982e-01  1.053011e+00  0.4126689330  0.562407165
#>   [343,]  6.589916e-02  7.227398e-01  0.7227397772  0.722739777
#>   [344,]  3.588255e-01  5.955459e-01  0.3738122279  0.358825489
#>   [345,] -8.261675e-02  3.432881e-01  0.3544397686  0.343288089
#>   [346,]  3.480131e-02  3.766384e-01  0.0348013148  0.710630929
#>   [347,]  4.398863e-01  4.398863e-01  0.6051720663  0.664064719
#>   [348,]  9.813986e-02  1.642771e-01  0.6665642401  0.904928641
#>   [349,]  1.316690e-01  4.975979e-01  0.1316690086  0.884534993
#>   [350,] -3.550781e-01  6.244730e-01  0.6244729751  0.863332586
#>   [351,]  1.918471e-01  6.195111e-01  0.3519074056  0.439118968
#>   [352,]  1.926115e-01  4.143946e-01  0.4143946389  0.732725523
#>   [353,]  2.518085e-01  6.718292e-01  0.2518084594  0.897147807
#>   [354,]  4.875021e-01  8.878999e-01  0.4875020654  0.887899862
#>   [355,]  7.340246e-02  4.990483e-01  0.4990482821  0.570913475
#>   [356,]  1.152839e-02  6.884666e-01  0.6884666364  0.688466636
#>   [357,]  3.715088e-01  6.698432e-01  0.6698431613  0.669843161
#>   [358,]  2.189705e-01  2.189705e-01 -0.1565122139  0.345875036
#>   [359,] -1.725256e-01  2.637530e-01  0.4999625496  0.499962550
#>   [360,]  2.576090e-01  4.845470e-01  0.4845470263  0.484547026
#>   [361,]  2.942422e-01  2.942422e-01  0.2942422230  0.440185761
#>   [362,]  1.646710e-01  6.575374e-01  0.6575374124  0.336820834
#>   [363,]  2.954459e-02  7.046736e-01  0.7906945223  0.704673573
#>   [364,]  2.168148e-01  2.168148e-01  0.5131997843  0.513199784
#>   [365,]  6.690124e-01  3.006774e-01  0.3006773524  0.300677352
#>   [366,]  7.659658e-02  7.659658e-02  0.2826305842  0.612659355
#>   [367,]  8.479883e-02  7.239698e-01  0.1867065245  0.723969821
#>   [368,]  1.222642e-01  1.222642e-01  0.1222642403  0.758980391
#>   [369,]  1.288318e-01  3.555981e-01  0.8675465083  0.829457472
#>   [370,]  4.504081e-01  2.771060e-01  0.3445843343  1.298190978
#>   [371,]  5.133715e-01  3.705483e-01  0.3035707514  0.513371480
#>   [372,] -4.315681e-01  6.731359e-01  0.6247129767  0.624712977
#>   [373,]  4.423501e-01  8.259232e-01  0.4423501084  0.442350108
#>   [374,] -7.579930e-02  6.771657e-01  0.6014261893  0.606733042
#>   [375,]  6.325699e-01  2.821081e-01  0.2841461397  0.848516503
#>   [376,]  6.772927e-01  5.689331e-01  0.5122104572  0.894110574
#>   [377,] -1.318172e-02  4.974782e-01  0.4974782412  1.139652858
#>   [378,]  4.726989e-01  4.726989e-01  0.4726989265  1.439280273
#>   [379,]  4.114766e-01  4.114766e-01  0.4114766330  0.411476633
#>   [380,]  3.762742e-01  3.762742e-01  0.6229403468  0.376274167
#>   [381,]  9.400859e-01  9.400859e-01  0.4019667654  0.741293256
#>   [382,] -1.953893e-01  5.415773e-01  0.5415773399  0.322091044
#>   [383,] -3.637005e-01  5.787371e-01  0.5664400222  0.566440022
#>   [384,]  1.119099e-01  5.042349e-01  0.4331240258  0.504234905
#>   [385,]  4.207085e-01  4.207085e-01  0.0564192653  0.420708457
#>   [386,]  3.084452e-01  3.084452e-01  0.1790495787  0.384657978
#>   [387,]  5.085954e-01  4.702260e-01 -0.0828300456  0.508595441
#>   [388,]  7.660235e-02  5.371161e-01  0.5371160589  0.537116059
#>   [389,]  5.070398e-01  5.070398e-01  0.5070398273  0.507039827
#>   [390,]  1.148347e-01  4.374491e-01  0.3028649752  0.779155914
#>   [391,]  1.200662e-01  4.586799e-01  0.3538641762  0.840367052
#>   [392,] -8.898338e-02  6.087551e-01  0.3459486469  0.659066610
#>   [393,] -1.079606e-01  4.651073e-01  0.4311409527  0.482427105
#>   [394,] -2.263560e-02  3.332509e-01  0.3332508599  1.181570325
#>   [395,] -9.653214e-02  3.219560e-01  0.2191034183  0.321956004
#>   [396,]  9.574753e-02  3.060861e-01  0.1634906094  0.729747984
#>   [397,]  5.377423e-01  7.420007e-01  0.3229625211  0.742000741
#>   [398,]  3.491986e-01  3.491986e-01  0.3491985853  1.045855056
#>   [399,]  2.403993e-01  3.168676e-02  0.8179609604  0.858979780
#>   [400,]  3.053753e-01  1.786033e-01  0.8005981448  0.800598145
#>   [401,]  7.737874e-01  1.850325e-01  0.1850325229  0.652173476
#>   [402,]  3.390095e-03 -6.023149e-02  0.6494066150  0.649406615
#>   [403,] -5.556132e-01  6.786388e-01  0.6786387959  0.448959942
#>   [404,]  3.644119e-01  3.961297e-01  0.3104371710  0.310437171
#>   [405,]  2.179650e-02  2.179650e-02  0.0217965011  0.252629489
#>   [406,]  4.658649e-01  4.658649e-01  0.6086085248  0.472998784
#>   [407,]  2.109315e-01  5.157747e-01  0.7115662178  0.711566218
#>   [408,]  4.886435e-01  7.265426e-01  0.7265426232  0.726542623
#>   [409,]  4.055980e-01  4.055980e-01  0.8102366593  0.810236659
#>   [410,]  7.557321e-02  6.632290e-01  0.3966768381  0.663229031
#>   [411,] -6.164902e-01  5.189343e-01  0.4946159704  0.494615970
#>   [412,]  2.499002e-01  2.499002e-01  0.2499002453  0.249900245
#>   [413,]  3.065719e-01  3.065719e-01  0.3065719213  0.306571921
#>   [414,]  7.888703e-02  5.604165e-01  0.5604165406  0.560416541
#>   [415,]  2.398568e-01  6.499469e-01  0.6499469379  0.649946938
#>   [416,]  4.517965e-01  4.517965e-01  0.4517965003  0.451796500
#>   [417,]  4.809402e-01  4.809402e-01  0.4809402366  0.480940237
#>   [418,]  2.096874e-01  7.471670e-01  0.7471670210  0.747167021
#>   [419,]  1.985899e-01  3.403697e-01  0.3403697354  0.273732874
#>   [420,] -5.671137e-01  4.323130e-01  0.2583056707  0.429554567
#>   [421,]  2.423586e-01  2.423586e-01  0.3305431087  0.795778023
#>   [422,]  4.445144e-01  4.445144e-01  0.4445144076  1.006856354
#>   [423,]  5.395477e-01  1.379055e-01  0.5395476578  0.539547658
#>   [424,]  3.491806e-01  8.188308e-01  0.6800437988  0.818830798
#>   [425,]  4.686031e-01  1.020617e+00  0.4686031005  1.020616983
#>   [426,]  3.646334e-01  1.553238e-01  0.3646333846  0.997364716
#>   [427,] -5.440624e-02  7.770838e-01  0.1238110625  0.777083847
#>   [428,]  2.563416e-01  4.066684e-01  0.4066683924  0.406668392
#>   [429,]  2.799887e-01  2.799887e-01  0.2799887000  0.279988700
#>   [430,]  4.133471e-01  4.133471e-01  0.4133470740  0.413347074
#>   [431,]  6.083901e-01  6.083901e-01  0.6083901348  0.608390135
#>   [432,]  4.975293e-01  4.975293e-01  0.4975293126  0.497529313
#>   [433,]  4.394541e-01  4.394541e-01  0.4394540852  0.439454085
#>   [434,] -2.334291e-02  4.722381e-01  0.4722380673  0.350073320
#>   [435,]  4.999003e-01  4.999003e-01  0.4999002634  0.499900263
#>   [436,]  7.064906e-01  7.064906e-01  0.7064906036  0.706490604
#>   [437,] -4.184455e-01  8.577605e-02  0.6320520290  0.632052029
#>   [438,]  5.220766e-01  4.652926e-01  0.5220766124  0.522076612
#>   [439,]  1.683969e-01  1.683969e-01  0.8292091043  1.002999405
#>   [440,]  1.817872e-01  4.250804e-01  0.8156602725  0.815660273
#>   [441,]  2.073447e-01  8.866210e-01  0.2073447464  0.886621044
#>   [442,] -1.458993e-02  2.833795e-01  0.2833795024  0.703361025
#>   [443,]  3.341396e-01  7.578451e-01  0.2097724654  0.757845089
#>   [444,]  5.509028e-01  3.994775e-01  0.5509027700  0.550902770
#>   [445,]  4.412594e-01  4.412594e-01  0.7098812916  0.709881292
#>   [446,]  7.384514e-01  9.097492e-01  0.4313051668  0.431305167
#>   [447,]  9.464565e-02  9.612116e-02  0.0961211569  1.181900537
#>   [448,]  2.042578e-01  2.042578e-01  0.4768718998  1.041510763
#>   [449,]  1.818544e-01  5.606531e-01  0.2793948288  1.144204394
#>   [450,]  2.357283e-02  7.965231e-01  0.6517958802  1.045838051
#>   [451,] -2.294474e-01  7.641936e-01  0.4351439381  1.357121397
#>   [452,] -2.679693e-01  6.841496e-01  0.5045321881  0.504532188
#>   [453,]  4.217065e-01  3.333311e-01  0.8649833630  0.864983363
#>   [454,]  6.217374e-01  3.806666e-01  0.8736753350  0.621737356
#>   [455,] -1.037276e-01  8.255510e-01  0.5591308644  1.121629620
#>   [456,]  2.291955e-01  3.864820e-01  0.3864820139  0.715806517
#>   [457,] -1.172425e-01  5.570809e-01  0.5570809384  0.779430872
#>   [458,]  2.314969e-01  1.065523e+00  0.7012135996  0.701213600
#>   [459,]  5.281392e-01  3.435567e-01  0.5281392120  0.343556692
#>   [460,]  2.704158e-01  2.704158e-01  0.2704157762  0.270415776
#>   [461,]  4.167265e-01  4.167265e-01  0.4167265339  0.416726534
#>   [462,]  6.118656e-01  6.118656e-01  0.6118656075  0.611865607
#>   [463,]  5.488211e-01  5.488211e-01  0.5488211178  0.548821118
#>   [464,]  4.131473e-01  4.131473e-01  0.4131473022  0.413147302
#>   [465,]  6.333189e-01  6.333189e-01  0.6333189126  0.633318913
#>   [466,]  3.398371e-01  3.398371e-01  0.3398371244  0.339837124
#>   [467,]  2.450309e-01  2.450309e-01  0.2450308738  0.983078647
#>   [468,] -3.000151e-01  2.081850e-01  0.1173324900  0.924090176
#>   [469,]  4.433409e-01  6.130936e-01  0.6130936113  0.613093611
#>   [470,]  4.507854e-01  4.507854e-01  0.4507853890  0.450785389
#>   [471,]  3.031626e-01  3.031626e-01  0.3031626316  0.303162632
#>   [472,]  3.101642e-01  4.311574e-01  0.3101641950  1.055621088
#>   [473,]  8.164015e-01  3.488999e-01  0.8164014931  0.816401493
#>   [474,]  3.479019e-01  3.479019e-01  0.6756701764  0.903057009
#>   [475,]  4.578184e-01  4.578184e-01  0.4578184010  0.893911955
#>   [476,]  4.819686e-01  4.819686e-01  0.4819685932  0.691051951
#>   [477,]  2.544010e-01  2.499117e-01  0.2499116741  0.249911674
#>   [478,]  5.530813e-01  5.530813e-01  0.5530812794  0.553081279
#>   [479,]  8.383433e-02  6.182938e-01  0.0838343312  0.910925065
#>   [480,]  4.848883e-01  3.602626e-01  0.0991137174  0.360262610
#>   [481,]  5.265966e-01  5.265966e-01  0.5265965814  0.526596581
#>   [482,]  3.910127e-01  3.910127e-01  0.3910126536  0.391012654
#>   [483,]  3.900797e-01  3.900797e-01  0.4468425918  0.390079661
#>   [484,]  7.062669e-01  7.062669e-01  0.7459992488  0.706266922
#>   [485,]  6.483383e-01  6.483383e-01  0.6483382844  0.648338284
#>   [486,]  4.893184e-01  4.893184e-01  0.4893184172  0.489318417
#>   [487,]  4.937484e-01  4.937484e-01  0.4937484101  0.493748410
#>   [488,]  5.550237e-01  5.550237e-01  0.5550236990  0.555023699
#>   [489,]  4.201662e-01  4.201662e-01  0.4201661930  0.420166193
#>   [490,]  3.298975e-01  3.298975e-01  0.1660164977  0.329897489
#>   [491,]  4.896766e-01  4.896766e-01  0.4896765927  0.489676593
#>   [492,]  6.212761e-01  6.212761e-01  0.6212760789  1.108555898
#>   [493,]  5.142361e-01  5.142361e-01  0.7656217549  0.466671219
#>   [494,]  4.060433e-01  8.106778e-01  0.4060432949  0.810677788
#>   [495,]  1.146837e-01  1.146837e-01  0.1146837262  0.575665011
#>   [496,]  1.190767e-01  5.222293e-01  0.5222293187  0.522229319
#>   [497,]  4.760032e-01  5.554868e-01  0.4760032445  0.476003244
#>   [498,]  2.818304e-01  2.818304e-01  0.2679096093  0.281830389
#>   [499,]  7.625213e-01  7.114285e-01  0.6805759901  0.762521254
#>   [500,]  1.140296e-01  4.313715e-01  0.1974429723  0.569344620
#>   [501,]  1.473371e-01  8.898066e-01  0.3095073231  0.597444506
#>   [502,] -2.805263e-02  4.757529e-01  0.5631733750  0.475752940
#>   [503,]  4.995354e-02  5.916245e-01  0.5916244600  0.591624460
#>   [504,]  2.916134e-02  4.878649e-01  0.4878649051  0.487864905
#>   [505,]  1.478524e-01  4.338326e-01  0.4338326218  0.433832622
#>   [506,]  4.557736e-01  4.557736e-01  0.3854227046  0.455773593
#>   [507,]  9.792277e-02  5.448857e-01  0.1363814125  1.067784472
#>   [508,] -9.072144e-02  3.489533e-01  0.3489532919  0.348953292
#>   [509,]  4.264709e-01  4.264709e-01  0.4264708956  0.954665837
#>   [510,]  8.720184e-02  5.758474e-01  0.4550932020  1.141646688
#>   [511,]  3.807363e-01  5.821029e-01  0.5821029253  0.582102925
#>   [512,]  3.705764e-01  3.705764e-01  0.3705764115  0.370576412
#>   [513,]  4.694961e-01  4.694961e-01  0.4694960912  0.469496091
#>   [514,]  4.168562e-01  4.168562e-01  0.4168562025  0.416856203
#>   [515,]  6.050980e-01  6.050980e-01  0.6050980426  0.605098043
#>   [516,]  3.644567e-01  7.042977e-01  0.3644566564  0.704297737
#>   [517,]  6.567863e-01  5.325290e-01  0.6861294870  0.656786319
#>   [518,] -2.814004e-01  3.960760e-01  0.3960760022  0.396076002
#>   [519,] -1.053916e-02  7.789625e-01  0.7789624839  0.948162881
#>   [520,]  3.443802e-01  5.359680e-01  0.9530551558  0.693974970
#>   [521,]  3.364591e-01  3.364591e-01  0.3364590660  0.336459066
#>   [522,]  4.212338e-01  4.212338e-01  0.1804581351  0.421233769
#>   [523,]  5.308482e-01  5.308482e-01  0.5308481509  0.530848151
#>   [524,]  3.399790e-01  3.399790e-01  0.3399789643  0.339978964
#>   [525,]  4.134225e-01  5.376013e-01  0.5376012850  0.537601285
#>   [526,]  4.562856e-01  4.562856e-01  0.4562856004  0.456285600
#>   [527,]  3.842921e-01  3.842921e-01  0.3842920592  0.384292059
#>   [528,]  5.117613e-01  5.117613e-01  0.5117612597  0.511761260
#>   [529,]  4.516511e-01  4.516511e-01  0.4516510959  0.451651096
#>   [530,]  4.099432e-01  4.099432e-01  0.4099431571  0.409943157
#>   [531,]  3.664699e-01  6.048592e-01  0.3664699326  0.366469933
#>   [532,]  1.427663e-01  6.707953e-01  0.6707953446  0.615644626
#>   [533,]  3.646945e-01  6.713494e-01  0.6035711651  0.618022347
#>   [534,]  1.581409e-01  4.959551e-01  0.1581409305  0.451334546
#>   [535,]  3.248087e-01  3.248087e-01  0.3939830383  0.677777943
#>   [536,]  1.697000e-01  1.697000e-01  0.6205957907  0.283303803
#>   [537,] -1.581463e-02  4.809446e-01  0.6725062183  0.672506218
#>   [538,]  2.416773e-01  6.704919e-01  0.6704919381  0.670491938
#>   [539,]  4.251758e-01  4.251758e-01  0.4251758335  0.677673278
#>   [540,] -1.673578e-01  5.333681e-01  0.5607480194  0.560748019
#>   [541,]  1.518949e-01  4.802163e-01  0.4802162691  0.868356249
#>   [542,]  4.483963e-01  4.483963e-01  0.7175203922  0.717520392
#>   [543,]  4.190606e-01  6.470579e-01  0.6470579263  0.419060628
#>   [544,]  6.358031e-02  5.020754e-01  0.5500517484  0.940418163
#>   [545,] -3.275647e-01  4.881538e-01  0.4881537995  0.814375266
#>   [546,] -3.404897e-03  3.897040e-01  0.2513624805  0.451370553
#>   [547,]  5.700612e-01  2.371732e-01  0.2371732212  0.570061247
#>   [548,]  4.060719e-01  4.060719e-01  0.4060719139  0.406071914
#>   [549,]  4.832446e-01  5.040322e-01  0.4832445877  0.504032211
#>   [550,]  2.613309e-01  7.847867e-01  0.7847866807  0.784786681
#>   [551,]  2.023647e-01  6.024064e-01  0.6024064413  0.602406441
#>   [552,]  6.140160e-01  6.140160e-01  0.6140160483  0.614016048
#>   [553,]  5.218641e-01  5.218641e-01  0.5218640958  0.521864096
#>   [554,]  6.429200e-01  6.429200e-01  0.6429200468  0.642920047
#>   [555,]  7.739839e-02  5.715690e-01  0.5715689782  0.571568978
#>   [556,]  9.620847e-02  2.902202e-01  0.2902202250  0.290220225
#>   [557,]  1.997541e-01  2.570007e-01  0.2570006948  0.199754099
#>   [558,]  2.446953e-01  2.446953e-01  0.2446953369  0.798138375
#>   [559,] -2.237768e-01  4.449672e-01  0.4449672214  0.342699545
#>   [560,]  3.202310e-01  6.754062e-01  0.2526430727  0.645065644
#>   [561,]  1.820829e-01  8.180219e-01  0.4805846978  0.480584698
#>   [562,]  3.307907e-01  5.941147e-01  0.3307907380  0.330790738
#>   [563,]  3.959893e-01  3.959893e-01  0.6845380441  0.395989273
#>   [564,]  3.595307e-01  4.767651e-01  0.3595307300  0.359530730
#>   [565,]  6.717356e-01  6.717356e-01  0.4908053126  0.671735568
#>   [566,]  6.812245e-01  6.812245e-01  0.6812244969  0.681224497
#>   [567,]  7.100443e-02  5.496951e-01  0.5496950806  0.616126364
#>   [568,]  5.554693e-01  5.554693e-01  0.3262199144  0.852494835
#>   [569,]  4.237539e-01  4.237539e-01  0.4237539055  0.777445809
#>   [570,]  3.916363e-01  3.916363e-01  0.6962985948  0.391636262
#>   [571,] -1.827580e-01  2.774274e-01  0.0364163892  0.846383907
#>   [572,] -1.022906e-01  3.190429e-01 -0.1022905550  0.898060183
#>   [573,]  1.776471e-01 -7.713322e-02  1.3722131296  1.085757787
#>   [574,] -4.938205e-02  1.969214e-01  0.4532949096  1.301302291
#>   [575,] -1.933588e-01  3.687470e-01  0.3687470037  0.927898608
#>   [576,]  5.131563e-01  5.131563e-01  0.5131562853  0.923072720
#>   [577,]  4.685145e-01  4.685145e-01  0.6293019768  0.591689532
#>   [578,]  1.379646e-02  4.179141e-01  0.8261090792  0.737344278
#>   [579,]  7.423792e-02  3.408082e-01  0.4731551008  0.574046863
#>   [580,]  1.492908e-01  2.627764e-01  0.7522247344  0.752224734
#>   [581,]  1.645762e-01  3.593406e-01  0.6658093254  0.835939596
#>   [582,]  7.640486e-02  2.059009e-01  0.5659358828  0.978021686
#>   [583,]  3.773808e-01  4.388839e-01  0.9641414657  0.582987830
#>   [584,]  3.645414e-02  2.323871e-01  0.8550856945  0.855085695
#>   [585,]  1.025928e-01  5.112328e-01  0.5112328217  0.511232822
#>   [586,]  2.214389e-01  7.333519e-01  0.7333519485  0.733351948
#>   [587,]  4.634987e-01  4.634987e-01  0.6951230718  0.695123072
#>   [588,]  4.381863e-01  4.487596e-01  0.4381863148  0.438186315
#>   [589,]  6.474542e-01  6.474542e-01  0.6474542161  0.647454216
#>   [590,]  3.463754e-01  7.991765e-01  0.3463753951  0.799176536
#>   [591,]  5.296810e-01  5.296810e-01  0.5296810487  0.559290835
#>   [592,]  5.159201e-01  5.159201e-01  0.5159201175  0.565394926
#>   [593,]  1.685091e-01  6.628216e-01  0.6628216127  0.662821613
#>   [594,]  4.558868e-01  4.558868e-01  0.4558867667  0.455886767
#>   [595,]  4.962925e-01  4.962925e-01  0.4962924935  0.496292494
#>   [596,]  6.347965e-01  5.407668e-01  0.6347964830  0.634796483
#>   [597,] -6.144049e-01  4.895809e-01  0.4895809391  0.489580939
#>   [598,]  5.317907e-01  5.317907e-01  0.5317907262  0.531790726
#>   [599,]  5.202182e-01  5.202182e-01  0.5202182123  0.816329725
#>   [600,]  4.991795e-01  4.991795e-01  0.4991795352  0.499179535
#>   [601,]  2.583382e-01  2.583382e-01  0.2583381781  0.759429067
#>   [602,] -3.648881e-01  4.952683e-01  0.8606624801  0.495268269
#>   [603,]  4.416197e-01  4.416197e-01  0.4416197290  0.441619729
#>   [604,]  3.439988e-01  3.439988e-01  0.3439988051  0.343998805
#>   [605,]  4.384959e-01  4.384959e-01  0.4384959232  0.438495923
#>   [606,]  3.096514e-01  3.096514e-01  0.3096514345  0.309651434
#>   [607,]  7.429615e-02  4.531588e-01  0.4531588096  0.453158810
#>   [608,] -1.570011e-01  7.006026e-01  0.6755088019  0.358703446
#>   [609,]  1.363738e-01  4.375981e-01  0.7291285809  0.729128581
#>   [610,]  8.437592e-02  3.988604e-01  0.8170970276  0.817097028
#>   [611,]  2.265812e-01  4.583320e-01  0.4583320200  0.542960631
#>   [612,]  2.313000e-01  9.522275e-01  0.9522274955  0.952227496
#>   [613,]  2.571520e-01  7.810353e-01  0.7810352596  0.880159109
#>   [614,]  4.490702e-01  6.161108e-01 -0.0223354004  0.616110844
#>   [615,]  3.737770e-01  3.737770e-01  0.7203335210  0.373776987
#>   [616,]  2.628558e-01  2.628558e-01  0.6694505729  0.736900335
#>   [617,] -7.173176e-02  7.108767e-01  0.7108767294  0.710876729
#>   [618,]  1.813804e-01  5.349622e-01  0.5349621739  0.534962174
#>   [619,]  2.781467e-01  4.466427e-01  0.4466426620  0.446642662
#>   [620,]  4.979758e-01  4.979758e-01  0.4979757856  0.497975786
#>   [621,]  4.519067e-01  4.519067e-01  0.4519067162  0.451906716
#>   [622,]  1.554438e-01  1.554438e-01  0.1554438192  0.155443819
#>   [623,]  5.090806e-01  5.090806e-01  0.5090805536  0.509080554
#>   [624,] -6.529184e-02  5.386064e-01  0.5386064423  0.538606442
#>   [625,]  2.669025e-01  2.669025e-01  0.2669024824  0.266902482
#>   [626,]  9.628173e-02  1.132416e-02  0.0113241644  0.709110030
#>   [627,]  1.726516e-02  4.377401e-01  0.4377400867  0.839549499
#>   [628,]  5.895452e-02  5.061841e-01  0.2197216041  1.042036948
#>   [629,]  2.388506e-01 -1.407170e-02  0.3860717516  0.992291765
#>   [630,]  3.146122e-01  5.957036e-01  0.3146122282  0.752014440
#>   [631,]  9.109433e-03  6.458823e-01  0.6458823479  0.524948548
#>   [632,]  4.234247e-01  4.234247e-01  0.7183856436  0.423424722
#>   [633,]  7.174972e-02  7.656139e-01  0.5500182139  0.571978747
#>   [634,]  4.726817e-02  5.984098e-01  0.5984098341  0.564874541
#>   [635,]  1.111712e-01  6.705710e-01  0.6705709678  0.495724030
#>   [636,]  2.276334e-01  2.276334e-01  0.3740310640  0.616642606
#>   [637,]  5.442399e-01  6.350054e-01  0.8856231082  1.001381718
#>   [638,]  4.000999e-01  4.207735e-01  0.4720051756  1.037263685
#>   [639,] -1.940742e-01  4.069650e-01  0.7964124936  0.851270415
#>   [640,] -3.378923e-01  7.347773e-01  0.7970929159  0.996035047
#>   [641,] -4.924052e-01  7.417546e-01 -0.0197360293  0.596613678
#>   [642,]  2.324554e-01  6.962874e-01  0.6962873601  0.696287360
#>   [643,]  2.183279e-01  6.182213e-01  0.6182213251  0.618221325
#>   [644,]  3.931400e-01  3.931400e-01  0.3931400264  0.393140026
#>   [645,]  3.552681e-01  3.552681e-01  0.2302122678  0.355268116
#>   [646,]  2.268850e-01  3.803646e-01  0.5688749285  0.380364553
#>   [647,]  3.910781e-01  4.422909e-01  0.4422909354  0.442290935
#>   [648,]  4.994899e-01  5.922519e-01  0.5922518978  0.592251898
#>   [649,]  4.992262e-01  7.478593e-01  0.4992262028  0.499226203
#>   [650,]  6.520187e-01  6.520187e-01  0.6520186672  0.652018667
#>   [651,]  6.579608e-01  6.579608e-01  0.6579607629  0.657960763
#>   [652,]  2.663239e-01  4.995889e-01  0.2663239305  0.808050131
#>   [653,]  3.778161e-01  5.197098e-01  0.5197098142  0.519709814
#>   [654,]  4.486098e-01  4.486098e-01  0.4486097556  0.448609756
#>   [655,]  4.060385e-01  9.654894e-01  0.4060385032  0.965489353
#>   [656,]  2.751544e-01  2.751544e-01  0.2751544289  0.275154429
#>   [657,]  3.191822e-01  2.697967e-01  0.4242099393  1.018773237
#>   [658,]  2.335438e-01  4.690831e-02  0.2335437586  0.812250599
#>   [659,]  3.614466e-01  3.614466e-01  0.3614466210  0.361446621
#>   [660,]  3.498920e-01  3.498920e-01  0.4181948729  0.349891975
#>   [661,]  4.385857e-01  4.385857e-01  0.3311469435  0.438585678
#>   [662,] -8.784191e-02  2.228967e-01  0.2228967081  0.489024960
#>   [663,]  1.444129e-01  1.444129e-01  0.1444128661  0.666187437
#>   [664,]  7.550488e-01  7.550488e-01  0.2482543766  0.755048797
#>   [665,]  3.198985e-01  3.198985e-01  0.3198984730  0.777540673
#>   [666,] -1.052792e-01 -1.052792e-01  0.2872574523  0.937682340
#>   [667,]  3.433930e-01  5.274095e-01  0.5274094871  1.057310561
#>   [668,]  1.103398e-01  3.029297e-01  0.2956577726  0.735677198
#>   [669,]  2.650144e-01  5.466172e-01  0.5475083740  0.784943728
#>   [670,]  4.697446e-01  4.957381e-01  0.6110334773  0.928528387
#>   [671,]  2.729970e-01  5.579725e-01  0.6281651913  0.985860510
#>   [672,]  2.778268e-01  2.778268e-01  0.9622630596  0.822450986
#>   [673,]  4.239443e-01  9.022669e-01  0.9022669476  0.555907918
#>   [674,]  6.366069e-01  6.366069e-01  0.7362079116  0.585250844
#>   [675,]  5.671505e-01  6.382832e-01  0.7015350320  0.638283210
#>   [676,]  6.718936e-02  5.935453e-01  0.6868902095  0.645238906
#>   [677,]  4.891598e-01  8.555200e-01  0.5801544299  0.580154430
#>   [678,]  6.290653e-02  4.919789e-01  0.4919789332  0.647740297
#>   [679,]  3.553517e-02  1.458861e-01  0.4905312375  0.618672949
#>   [680,]  4.958155e-01  6.215547e-01  0.4958154978  0.495815498
#>   [681,]  2.476467e-01  4.258325e-01  0.4258325300  0.516031196
#>   [682,]  2.296078e-01  5.886918e-01  0.5886917796  0.588691780
#>   [683,]  2.611355e-01  2.611355e-01  0.5659027691  0.565902769
#>   [684,] -3.821428e-01  3.060142e-01  0.4204758509  0.420475851
#>   [685,]  2.856205e-01  2.856205e-01  0.6072162380  0.162895289
#>   [686,] -1.102716e-02  6.530719e-01  0.6530718719  0.581738035
#>   [687,] -1.689356e-01  6.644741e-01  0.6644741093  0.638402520
#>   [688,] -2.229001e-01  3.502417e-01  0.3502417029  0.868902930
#>   [689,]  2.655092e-01  2.655092e-01  0.2655091667  0.943362667
#>   [690,]  1.914352e-01  4.448579e-01  0.1451597843  0.774731915
#>   [691,]  5.838508e-02  6.752495e-01  0.6752494519  0.775597949
#>   [692,]  2.130856e-02  5.625768e-01  0.2505375358  0.565260292
#>   [693,] -1.087274e-02  4.571739e-01  0.5771951047  0.721082647
#>   [694,]  3.958830e-02  7.062713e-01  0.4579707354  0.789497830
#>   [695,] -2.935380e-01  3.244691e-01  0.4482092229  0.481299734
#>   [696,]  7.712610e-02  7.104310e-01  0.4298007629  0.479416925
#>   [697,] -6.547706e-02  8.388092e-01  0.2360689487  0.485352876
#>   [698,]  2.238749e-01  6.805644e-01  0.8728179050  0.682898312
#>   [699,]  2.768847e-01  2.768847e-01  0.3778192718  0.783436963
#>   [700,]  2.430500e-01  2.724599e-01  0.2724599042  0.832128391
#>   [701,]  1.946081e-01  1.946081e-01  0.9882268940  0.988226894
#>   [702,]  5.062130e-01  5.062130e-01  0.5062130005  0.495719060
#>   [703,]  4.603373e-01  4.603373e-01  0.5862130585  0.804441242
#>   [704,]  2.102403e-01  6.753783e-01  0.5293816074  0.920151314
#>   [705,]  2.368305e-01  8.311272e-01  0.5271752476  0.746364243
#>   [706,]  1.379620e-01  6.771282e-01  0.4187212947  0.677128250
#>   [707,]  2.672259e-01  2.672259e-01  0.3614569398  0.361456940
#>   [708,] -3.703729e-01  2.036017e-01  0.2036017459  0.720817156
#>   [709,] -3.916971e-01  7.827357e-01  0.7827356805  0.731714851
#>   [710,] -1.077251e-01  1.054279e+00  0.1830728308  1.054278632
#>   [711,]  3.199098e-01  3.199098e-01  0.3654361148  0.740499166
#>   [712,]  1.031415e-02  3.761485e-01  0.6907582882  0.690758288
#>   [713,]  9.113607e-02  6.402865e-01  0.6402864649  0.800348753
#>   [714,]  2.040157e-01  6.755612e-01  0.6755612405  0.675561240
#>   [715,]  7.657876e-02  5.775761e-01  0.5775761138  0.685763331
#>   [716,]  3.042346e-01  5.919398e-01  0.5375434298  0.537543430
#>   [717,]  3.789102e-02  4.555863e-01  0.4555862565  0.455586256
#>   [718,]  6.175467e-01  6.175467e-01  0.6175466630  0.617546663
#>   [719,]  5.583234e-01  5.615896e-01  0.4083619635  0.558323381
#>   [720,]  1.908388e-01  6.145309e-01  0.4088123889  0.614530899
#>   [721,] -6.291588e-02  5.112563e-01  0.3349505267  0.511256253
#>   [722,]  4.728383e-01  4.728383e-01  0.4728383321  0.613664887
#>   [723,]  9.197406e-02  6.544812e-01  0.7104817410  0.654481221
#>   [724,]  2.885451e-01  8.562903e-01  0.5778888372  0.577888837
#>   [725,] -1.640919e-01  9.520460e-01  0.9520460255  0.952046026
#>   [726,] -1.297078e-01 -2.275865e-01  0.7430255375  0.743025537
#>   [727,]  2.934433e-01  2.107272e-01  0.7421454316  0.742145432
#>   [728,]  1.696290e-01  6.897816e-01  0.6897816230  0.689781623
#>   [729,]  3.397094e-01  9.621255e-01  0.9621254818  0.962125482
#>   [730,]  3.516423e-01  7.938753e-01  0.3516422827  0.351642283
#>   [731,] -7.975613e-02  7.522637e-01  0.7522637238  0.752263724
#>   [732,]  6.559270e-01  6.559270e-01  0.6559270498  0.655927050
#>   [733,]  3.740453e-01  4.170812e-01  0.3740453129  0.417081241
#>   [734,]  5.296677e-01  5.296677e-01  0.5296677214  0.529667721
#>   [735,]  5.901124e-01  5.901124e-01  0.5901124469  0.590112447
#>   [736,]  5.573668e-01  5.573668e-01  0.5573667879  0.557366788
#>   [737,] -6.054574e-02  5.260853e-01  0.5260852643  0.526085264
#>   [738,]  3.958426e-01  3.958426e-01  0.3958425931  0.395842593
#>   [739,]  4.543989e-01  6.633379e-01  0.8082832181  0.663337910
#>   [740,]  2.449416e-01  4.342902e-01  0.4342901558  0.434290156
#>   [741,]  2.823618e-01  9.188545e-01  0.2823618212  0.918854530
#>   [742,]  1.602351e-01  2.916496e-01  0.2916496048  0.838389623
#>   [743,]  2.625398e-01  1.104377e+00  0.2663013231  0.677421957
#>   [744,] -7.747673e-02  1.164947e+00  0.5944944694  0.796488308
#>   [745,] -6.502924e-03  7.032870e-01  0.0179557977  0.703286991
#>   [746,]  7.988803e-02  1.198768e-01  0.4742197994  0.806014595
#>   [747,]  1.816301e-01  1.816301e-01  0.0784751415  0.759676801
#>   [748,]  2.029563e-01  2.029563e-01  0.3643790946  0.786114058
#>   [749,]  2.615925e-01  8.178766e-01  0.5450949710  0.545094971
#>   [750,]  4.443676e-01  8.769209e-01 -0.2631384398  0.918844728
#>   [751,]  5.470325e-02  3.287252e-01  0.5059775063  1.070417732
#>   [752,]  4.854439e-01  4.854439e-01  0.4854438718  1.257839235
#>   [753,] -8.825559e-02  5.437206e-01  0.4460021888  0.446002189
#>   [754,]  6.258657e-01  6.258657e-01  0.6258657299  0.625865730
#>   [755,]  7.440071e-01  7.440071e-01  0.7440071391  0.744007139
#>   [756,]  1.287352e-01  3.306863e-01  0.1287351687  0.689429355
#>   [757,] -1.807616e-01  7.842261e-01  0.1613918662  0.784226141
#>   [758,]  9.694889e-02  2.468872e-01  0.2468872050  0.246887205
#>   [759,]  6.163165e-01  6.163165e-01  0.6163164658  0.616316466
#>   [760,]  4.987600e-01  4.987600e-01  0.4987600039  0.498760004
#>   [761,]  6.891939e-02  4.106528e-01  0.9666955116  0.966695512
#>   [762,] -2.031585e-01  5.097329e-01  0.7912784593  1.174939489
#>   [763,]  4.441184e-01  7.208826e-01  0.1530623773  0.720882560
#>   [764,]  2.251819e-01  5.526216e-01  0.6094866492  0.609486649
#>   [765,] -1.474503e-02  8.166976e-01  0.6766095354  0.842754823
#>   [766,]  1.093846e-01  7.602182e-01  0.9763835813  0.976383581
#>   [767,] -7.461678e-02  2.763047e-01  0.2763046926  0.276304693
#>   [768,]  2.394539e-01  2.394539e-01  0.2394539378  0.239453938
#>   [769,]  5.936879e-01  5.936879e-01  0.5936879219  0.593687922
#>   [770,]  4.214526e-01  4.214526e-01  0.4214526454  0.421452645
#>   [771,]  4.119223e-01  4.119223e-01  0.4119222889  0.411922289
#>   [772,]  3.905548e-01  3.905548e-01  0.3195915992  0.390554758
#>   [773,]  5.451435e-01  6.582819e-01  0.5451434560  0.545143456
#>   [774,]  5.502792e-01  5.502792e-01  0.5502791864  0.550279186
#>   [775,]  2.640027e-01  2.640027e-01  0.2640027345  0.264002734
#>   [776,]  6.839562e-01  6.839562e-01  0.8396604650  0.683956235
#>   [777,]  5.214740e-01  5.214740e-01  0.5543368497  0.521474018
#>   [778,] -1.544513e-01  4.850967e-01  0.4850966954  0.596052207
#>   [779,]  4.075475e-01  4.075475e-01  0.4075475420  0.407547542
#>   [780,]  4.771037e-01  4.771037e-01  0.1723269359  0.477103685
#>   [781,] -8.913586e-02  3.955145e-01  0.3955144731  0.395514473
#>   [782,]  6.568904e-01  6.568904e-01  0.6568903761  0.863685317
#>   [783,]  3.448076e-02  6.492258e-01  0.6263747562  0.626374756
#>   [784,]  2.787826e-01  4.017124e-01  0.4017124274  0.401712427
#>   [785,]  5.172208e-01  5.172208e-01  0.5172207615  0.517220761
#>   [786,] -2.370487e-02  4.356489e-01  0.5639389439  0.435648930
#>   [787,]  2.007272e-01  2.007272e-01  0.7511259385  0.751125939
#>   [788,]  3.102742e-02  6.632818e-01  0.6632818293  0.663281829
#>   [789,]  2.684627e-01  5.932325e-01  0.5932325228  0.593232523
#>   [790,]  5.667635e-01  4.233444e-01  0.5667634575  0.566763457
#>   [791,]  5.732892e-01  3.475069e-01  0.5732892386  0.573289239
#>   [792,]  7.003884e-02  5.453695e-01  0.7276261876  0.545369509
#>   [793,]  5.825263e-01  5.825263e-01  0.1119619835  0.582526271
#>   [794,]  6.296017e-02  6.626590e-01  0.6172484096  0.667307457
#>   [795,]  2.022242e-01  4.605412e-01  0.4605411907  0.679701641
#>   [796,]  4.346975e-01  4.346975e-01  0.4346975302  0.192982307
#>   [797,]  3.838381e-01  5.909023e-01  0.3838380960  0.590902297
#>   [798,]  2.846757e-01  7.444533e-01  0.3943848229  0.888041924
#>   [799,]  2.988340e-01  4.688860e-01  0.5959289687  0.805216239
#>   [800,] -2.643321e-02  6.405490e-01  0.8093145608  0.926294129
#>   [801,]  1.754387e-01  4.171475e-01  0.4171475095  0.354345113
#>   [802,]  1.891171e-01  5.846054e-01  0.5846054397  0.618685981
#>   [803,]  6.095173e-01  5.609689e-01  0.6095172560  0.560968901
#>   [804,]  3.915079e-01  6.088974e-01  0.1661342126  0.646612603
#>   [805,]  4.524078e-01  2.423099e-01  0.2057842072  0.242309936
#>   [806,]  4.284440e-01  4.284440e-01  0.4284440310  0.604140895
#>   [807,]  3.505858e-01  4.358670e-01  0.7690210299  0.747066079
#>   [808,]  6.835851e-01  8.195894e-01  0.6430232686  0.643023269
#>   [809,]  2.127436e-01  2.127436e-01  0.3956344768  0.212743614
#>   [810,]  3.477669e-01  4.027129e-01  0.4027129129  0.402712913
#>   [811,]  4.867506e-01  4.867506e-01  0.4867506075  0.486750607
#>   [812,]  3.912496e-01  3.912496e-01  0.3912495615  0.391249561
#>   [813,]  3.338769e-01  3.338769e-01  0.3338768976  0.576869598
#>   [814,] -7.017564e-02  6.805551e-01  0.4373854636  0.437385464
#>   [815,]  2.539711e-01  2.539711e-01  0.2539710549  0.692613267
#>   [816,]  6.719610e-02  6.512001e-01  0.6813853880  0.651200138
#>   [817,]  1.715884e-01  6.749037e-01  0.4424837150  0.751984971
#>   [818,] -2.021366e-01  1.001866e+00  0.4232004312  0.408242144
#>   [819,]  2.370636e-01  2.249292e-01  0.4798193238  1.065294811
#>   [820,]  9.815035e-02  4.839950e-01  1.0697385861  1.069738586
#>   [821,]  1.893996e-01  4.601056e-01  0.4601056113  1.372218369
#>   [822,]  1.096449e-01  1.096449e-01  0.0754499214  0.791274767
#>   [823,]  1.430043e-01  4.500485e-01  0.4910485564  0.874805920
#>   [824,]  1.592818e-01  3.395545e-01  0.6783000334  0.669262375
#>   [825,] -9.968217e-02  8.788959e-01  0.5071229718  0.846661205
#>   [826,]  3.907618e-02  9.993949e-01  0.7308337106  0.730833711
#>   [827,]  2.166430e-01  9.669623e-01  0.5939783891  0.706542646
#>   [828,]  5.693262e-01  6.698476e-01  0.6698476014  0.669847601
#>   [829,] -4.248682e-01  4.214697e-01  0.4214696965  0.421469696
#>   [830,]  3.674535e-01  3.674535e-01  0.2806881232  0.367453526
#>   [831,]  4.804885e-01  4.870360e-01  0.4804885397  0.487035990
#>   [832,]  3.332059e-01  3.332059e-01  0.3332059425  0.333205942
#>   [833,]  3.950388e-01  3.950388e-01  0.3950388026  0.395038803
#>   [834,]  2.213326e-01  2.213326e-01  0.2213326325  0.221332632
#>   [835,]  8.421986e-02  6.337369e-01  0.0842198562  0.084219856
#>   [836,]  4.805828e-01  4.805828e-01  0.4751267059  0.480582756
#>   [837,]  5.153575e-01  3.998043e-01  0.5153575408  0.515357541
#>   [838,] -2.547089e-01  6.206164e-01  0.6206163639  0.620616364
#>   [839,] -8.167299e-02  6.316796e-01  0.6316796036  0.631679604
#>   [840,]  4.515130e-01  4.515130e-01  0.4515129961  0.451512996
#>   [841,]  7.082212e-01  7.082212e-01  0.7082212472  0.708221247
#>   [842,]  9.238936e-01  5.014364e-01  0.9238935671  0.501436411
#>   [843,]  4.111628e-01  4.111628e-01  0.4111628240  0.411162824
#>   [844,]  8.849940e-02  5.048674e-01  0.7862563041  0.673039817
#>   [845,]  3.252876e-01  3.252876e-01  0.5889211447  0.588921145
#>   [846,]  7.295765e-03  5.293930e-01  0.5293929510  0.529392951
#>   [847,] -1.353026e-01  5.608604e-01  0.4153681728  0.764833656
#>   [848,]  6.044849e-01  8.190427e-01  0.5840849472  0.578991918
#>   [849,]  5.074033e-01  8.090651e-01 -0.0078109878  0.790987224
#>   [850,]  5.827883e-01  7.296964e-01  0.4625280212  1.041178385
#>   [851,]  2.049135e-01  3.434837e-01  0.4827108105  0.824078299
#>   [852,]  2.734378e-01  7.507947e-01  0.4652569030  0.273437844
#>   [853,] -1.304645e-02  5.356011e-01 -0.1695853311  0.268152189
#>   [854,] -2.371234e-01  4.797210e-01  0.4797209920  0.479720992
#>   [855,]  4.700131e-01  4.700131e-01  0.4700130699  0.470013070
#>   [856,]  3.441306e-01  5.818506e-01 -0.2427297050  0.581850570
#>   [857,]  9.157141e-03  7.507908e-01  0.7507907501  0.750790750
#>   [858,] -1.167018e-01  5.715215e-01  0.5715214978  0.571521498
#>   [859,]  5.221837e-01  5.221837e-01  0.5221836837  0.522183684
#>   [860,]  5.053708e-01  5.053708e-01  0.4677161019  0.467716102
#>   [861,]  3.035838e-01  6.474165e-01  0.6212534877  0.682616411
#>   [862,]  4.338497e-01  6.185558e-01  0.4338497032  0.511164114
#>   [863,]  1.960325e-01  8.496365e-01  0.7253964389  0.370509534
#>   [864,]  5.537529e-01  5.338244e-01  0.5338243730  0.937494732
#>   [865,]  5.494621e-01  5.494621e-01  0.5494620593  0.549462059
#>   [866,]  1.927052e-01  6.376012e-01  0.6376011815  1.069720452
#>   [867,]  3.697820e-01  9.103583e-01  0.7366227742  0.736622774
#>   [868,] -5.677008e-02  4.551878e-01  0.4551878361  0.455187836
#>   [869,]  4.256169e-01  5.172130e-01  0.5172130048  0.425616859
#>   [870,]  6.291960e-01  7.849404e-01  0.7849403970  0.784940397
#>   [871,]  9.052821e-01  9.052821e-01  0.9052820711  0.905282071
#>   [872,] -1.011337e+00  5.562608e-01  0.5562607508  0.556260751
#>   [873,]  6.499332e-01  1.831339e-01  0.6499331724  0.649933172
#>   [874,] -2.894264e-01  2.640240e-01  0.2640239576  0.264023958
#>   [875,]  5.264888e-01  5.264888e-01  0.5264887916  0.526488792
#>   [876,] -4.066338e-03  8.736473e-01  0.0770012192  0.873647309
#>   [877,]  3.370603e-01  3.370603e-01  0.3370602521  0.571010945
#>   [878,]  3.738366e-01  5.873732e-01  0.3198400978  0.989717229
#>   [879,]  7.300654e-03  8.190205e-01  0.1403342110  1.173559244
#>   [880,]  2.014404e-01  1.830968e-01  1.0402611893  0.752290518
#>   [881,]  2.360310e-01  2.360310e-01  0.7119921308  0.875208720
#>   [882,] -3.973006e-02  5.050521e-01  0.5050520626  0.376085035
#>   [883,]  3.430492e-01  3.430492e-01  0.3430491879  0.922694254
#>   [884,]  4.059714e-02  4.828075e-01  0.3735352344  0.923413533
#>   [885,]  1.150541e-01  4.608885e-01  0.4791479959  0.738745343
#>   [886,] -6.153785e-02  5.469166e-01  0.5329842276  0.922412383
#>   [887,] -2.748025e-01  3.506806e-01  0.3506805979  0.742529560
#>   [888,]  2.153014e-01  2.153014e-01  0.2153014226  0.215301423
#>   [889,]  3.517328e-01  3.517328e-01  0.3517328333  0.351732833
#>   [890,]  4.165068e-01  4.165068e-01  0.0912134143  0.091213414
#>   [891,]  1.820818e-01  1.820818e-01  0.4180614029  0.418061403
#>   [892,]  1.957619e-01  1.957619e-01  0.7202703409  0.720270341
#>   [893,]  3.088581e-01  8.251769e-01  0.3088580687  0.825176931
#>   [894,]  1.547257e-02  7.018735e-01  0.3778302108  0.701873534
#>   [895,]  8.634558e-02  8.634558e-02  0.4887323906  0.488732391
#>   [896,]  3.959743e-01  5.634755e-01  0.3959742912  0.395974291
#>   [897,]  5.572330e-01  5.435660e-01  0.5572329961  0.557232996
#>   [898,]  3.555370e-01  3.555370e-01  0.3555369800  0.355536980
#>   [899,]  3.185730e-01  3.185730e-01  0.3185729832  0.318572983
#>   [900,]  3.608476e-02  5.434275e-01  0.5434274521  0.543427452
#>   [901,]  3.723004e-02  6.524913e-01  0.6524912747  0.652491275
#>   [902,] -2.291092e-02  5.575382e-01  0.5575382292  0.557538229
#>   [903,]  2.996328e-01  2.996328e-01  0.6175333400  0.299632761
#>   [904,]  4.619811e-01  3.541388e-01  0.4619810692  0.354138824
#>   [905,]  6.665668e-01  6.665668e-01  0.2830239739  0.283023974
#>   [906,]  6.899934e-01  7.557761e-01  0.6899933782  0.689993378
#>   [907,] -2.098138e-01  2.910088e-01  0.2910088453  0.703235356
#>   [908,]  7.630390e-02  7.630390e-02  0.5847352872  0.584735287
#>   [909,]  2.253116e-01  3.995515e-01  0.3995514614  0.399551461
#>   [910,]  4.184818e-01  4.184818e-01  0.4184818171  0.418481817
#>   [911,]  4.367628e-01  2.352503e-01  0.2352503080  0.436762836
#>   [912,] -4.085267e-01  7.156886e-01  0.7015967800  0.701596780
#>   [913,]  6.875391e-01  6.875391e-01  0.6875391048  0.687539105
#>   [914,] -8.681476e-02  5.582907e-01  0.3380315823  0.558290677
#>   [915,]  5.391838e-01  5.391838e-01  0.5391837960  0.539183796
#>   [916,]  2.736951e-01  2.736951e-01  0.5565719115  0.273695082
#>   [917,]  2.484638e-01  8.810868e-01  0.2484638475  0.248463847
#>   [918,]  3.585876e-01  3.585876e-01  0.3585876220  0.657610911
#>   [919,]  4.768195e-01  2.631645e-01  0.1386682882  0.476819464
#>   [920,]  3.493898e-01  7.387986e-01  0.3223005650  0.587075552
#>   [921,]  4.498202e-01  4.498202e-01  0.1682478547  0.449820243
#>   [922,] -1.892568e-01  8.459446e-01  0.2666412793 -0.189256773
#>   [923,] -2.087309e-01  3.859708e-01  0.3859707728  0.385970773
#>   [924,]  3.953261e-01 -1.877918e-01  0.6521378288  0.395326054
#>   [925,]  3.766386e-01  3.766386e-01  0.5285523872  0.789737049
#>   [926,]  3.174566e-01  5.721827e-01  0.5721827406  0.317456588
#>   [927,]  2.541473e-01  2.541473e-01  0.2541472852  0.951622069
#>   [928,]  5.427731e-01  8.211464e-01  0.8962895301  0.821146351
#>   [929,] -3.607526e-01  8.060944e-01  0.6093626990  0.609362699
#>   [930,]  3.468267e-01  6.564583e-01  0.3468267113  0.656458317
#>   [931,]  3.103965e-01  3.103965e-01  0.6216993729  0.621699373
#>   [932,]  3.249956e-01  7.102996e-01  0.7102995543  0.710299554
#>   [933,]  5.970953e-01  5.970953e-01  0.5970953062  0.597095306
#>   [934,]  4.580257e-01  4.580257e-01  0.4580257297  0.458025730
#>   [935,]  8.612326e-02  8.612326e-02  0.6524373684  0.652437368
#>   [936,]  1.962266e-01  6.019521e-01  0.6019521054  0.601952105
#>   [937,]  4.356076e-01  4.356076e-01  0.4356075867  0.435607587
#>   [938,]  3.885424e-01  3.077701e-01  0.3885423747  0.307770097
#>   [939,]  6.095241e-01  6.095241e-01  0.6095241239  0.609524124
#>   [940,]  5.835848e-01  5.835848e-01  0.5835847890  0.583584789
#>   [941,]  4.885668e-01  4.885668e-01  0.4885667984  0.488566798
#>   [942,]  3.430250e-01  3.430250e-01  0.3430249899  0.343024990
#>   [943,]  4.072875e-01  4.072875e-01  0.4072874711  0.407287471
#>   [944,]  2.675909e-01  2.675909e-01  0.2675908806  0.267590881
#>   [945,]  6.850666e-01  6.304533e-01  0.6304533031  0.685066610
#>   [946,] -9.564026e-02  6.073107e-01  0.6073106588  0.607310659
#>   [947,]  3.619425e-02  5.436683e-01  0.5436682547  1.070345689
#>   [948,] -9.875526e-02  7.081482e-01  0.7081482047  0.708148205
#>   [949,] -2.083293e-01  6.710960e-01  0.8325341027  0.653870993
#>   [950,]  6.001792e-01  7.095161e-01  0.7095161014  0.600179162
#>   [951,]  5.959159e-01  5.178886e-01  0.6558639988  0.595915853
#>   [952,]  2.830145e-01  5.733815e-01  0.5733814675  0.573381468
#>   [953,]  2.985616e-01  5.438133e-01  0.5438132787  0.543813279
#>   [954,]  4.368592e-01  4.368592e-01  0.4368591827  0.436859183
#>   [955,]  2.415643e-01  2.415643e-01  0.2415643416  0.241564342
#>   [956,]  4.530030e-01  4.530030e-01  0.4530029876  0.453002988
#>   [957,]  5.333646e-01  5.333646e-01  0.5333645641  0.533364564
#>   [958,]  3.775033e-01  3.775033e-01  0.3775032651  0.377503265
#>   [959,]  5.087343e-01  5.087343e-01  0.5087342548  0.477970454
#>   [960,]  4.068579e-01  4.068579e-01  0.4068578516  0.406857852
#>   [961,]  5.574481e-01  5.574481e-01  0.5574480970  0.557448097
#>   [962,]  4.221559e-01  4.221559e-01  0.4221558512  0.422155851
#>   [963,]  5.433330e-01  5.433330e-01  0.5433329574  0.543332957
#>   [964,]  4.783074e-01  4.783074e-01  0.7016237405  0.478307428
#>   [965,]  3.096565e-01  2.742053e-01  0.6826419993  0.682641999
#>   [966,]  2.122662e-01  3.928411e-01  0.7634033971  0.392841093
#>   [967,]  1.601791e-01  6.845537e-01  0.3525682413  0.684553674
#>   [968,]  2.519805e-01  2.519805e-01  0.2519805218  1.027936228
#>   [969,]  1.098252e-01  1.792192e-01  0.7378484433  0.688817303
#>   [970,]  3.520863e-01  6.558804e-01  0.8897307128  0.820200420
#>   [971,]  1.972017e-01  7.577787e-01  0.7577786683  0.920962232
#>   [972,]  5.999075e-01  5.999075e-01  0.6025642765  0.599907529
#>   [973,]  3.708503e-01  4.265854e-01  0.4265854435  0.930903236
#>   [974,]  4.010573e-01  4.756819e-01  0.4950834209  0.495083421
#>   [975,]  2.383414e-01  2.379678e-01  0.3130167309  1.021090161
#>   [976,]  7.627385e-02  3.331854e-01  0.3010238515  0.622557929
#>   [977,] -1.422066e-01  2.151989e-01  0.3785840521  0.378584052
#>   [978,]  1.539792e-01  4.157616e-01  0.4157616497  0.399242886
#>   [979,]  2.639122e-01  4.851540e-01  0.5369501003  0.485154016
#>   [980,]  6.054138e-01  6.054138e-01  0.6054138443  0.825208077
#>   [981,] -1.086356e-01  3.707851e-01  0.4650182486  0.392797360
#>   [982,]  1.440135e-01  4.981241e-01  0.1440135406  0.638683358
#>   [983,]  8.636920e-02  5.826329e-01  0.5826328930  0.582632893
#>   [984,]  2.383257e-01  5.730458e-01  0.5730458349  0.573045835
#>   [985,]  4.519626e-01  4.519626e-01  0.4519625858  0.451962586
#>   [986,]  5.457209e-01  5.457209e-01  0.5457209327  0.545720933
#>   [987,]  1.768294e-01  8.829235e-01  0.8829234688  0.882923469
#>   [988,]  1.919904e-01  1.919904e-01  0.8935057546  0.630977268
#>   [989,]  1.733342e-01  4.294103e-01  0.1733341757  0.486952156
#>   [990,]  1.992485e-03  4.722370e-01  0.0019924846  0.385096495
#>   [991,]  2.650116e-01  4.254395e-01  0.9535700808  0.642875458
#>   [992,]  5.367007e-01  6.358829e-01  0.5367006686  0.785379465
#>   [993,]  4.559953e-01  4.559953e-01  0.7080473803  0.455995264
#>   [994,]  1.153057e-01  5.827526e-01  0.5827525972  0.582752597
#>   [995,]  3.045393e-01  7.443219e-01  0.7443218639  0.744321864
#>   [996,]  5.021079e-01  5.021079e-01  0.5021079089  0.502107909
#>   [997,]  3.960202e-01  3.960202e-01  0.3960202387  0.396020239
#>   [998,]  5.643228e-01  5.643228e-01  0.5643227632  0.564322763
#>   [999,]  5.095953e-01  5.095953e-01  0.5095953172  0.509595317
#>  [1000,]  4.800012e-01  4.800012e-01  0.4800012179  0.480001218
#>  [1001,]  4.683457e-01  5.490560e-01  0.5490560302  0.549056030
#>  [1002,]  4.722994e-01  4.722994e-01  0.4722993848  0.472299385
#>  [1003,]  4.831035e-01  6.611596e-01  0.4831035366  0.661159600
#>  [1004,] -3.724026e-01  7.909974e-01  0.7255567307  0.725556731
#>  [1005,] -3.192326e-01  7.382262e-01  0.7382262240  0.738226224
#>  [1006,]  6.469921e-01  9.984712e-01  0.6469921303  0.646992130
#>  [1007,] -1.650066e-01  1.151027e+00 -0.1634708969  1.097307388
#>  [1008,]  1.166301e-01  7.268646e-01  0.8253975000  0.597651148
#>  [1009,]  5.187565e-01  2.498439e-01  0.5187565451  0.249843950
#>  [1010,]  3.846251e-01  3.846251e-01  0.6703828857  0.384625111
#>  [1011,]  1.653864e-01  5.473967e-01  0.5473966642  0.547396664
#>  [1012,]  4.960689e-01  5.257208e-01  0.4960688900  0.525720760
#>  [1013,]  2.987926e-02  6.352058e-01  0.4251243607  0.425124361
#>  [1014,]  5.642020e-01  5.642020e-01  0.5642020286  0.564202029
#>  [1015,]  4.951634e-01  4.294635e-01  0.4294635023  0.429463502
#>  [1016,]  6.330825e-01  6.330825e-01  0.3695726743  0.633082546
#>  [1017,]  4.661884e-01  6.473599e-01  0.6473599222  0.647359922
#>  [1018,]  2.384387e-01  1.452470e-01  0.6506021563  0.618547049
#>  [1019,]  4.118466e-01  7.345590e-01  0.4118465533  0.411846553
#>  [1020,]  6.439046e-01  6.439046e-01  0.6439045540  0.643904554
#>  [1021,]  2.086319e-01  5.954815e-01  0.5954815268  0.801251505
#>  [1022,]  2.817332e-01  4.397993e-01  0.7615146765  0.763661470
#>  [1023,]  1.831159e-01  1.831159e-01  0.8779485716  0.773534705
#>  [1024,]  1.847112e-01  7.182046e-01  0.5306111743  0.639314448
#>  [1025,]  3.822852e-01  4.146946e-01  0.4146946355  0.382285246
#>  [1026,]  2.355888e-01  5.554752e-01  0.5706467181  0.555475221
#>  [1027,]  6.750343e-01  7.815093e-01  0.6750342936  0.781509329
#>  [1028,]  2.266239e-01  4.718507e-01  0.6038390139  0.471850737
#>  [1029,]  2.876854e-01  2.876854e-01  0.7251620524  0.725162052
#>  [1030,]  2.391171e-01  2.391171e-01  0.8045188285  0.827040140
#>  [1031,]  2.822660e-01  2.822660e-01  0.2822660336  0.282266034
#>  [1032,]  3.506985e-01  3.506985e-01  0.3506985465  0.350698546
#>  [1033,]  4.238936e-01  4.238936e-01  0.4238935529  0.423893553
#>  [1034,]  6.543211e-01  6.543211e-01  0.2984866598  1.005880561
#>  [1035,] -3.336752e-01  7.121963e-01  0.6422916225  0.642291622
#>  [1036,]  5.172559e-01  5.172559e-01  0.5172559156  0.517255916
#>  [1037,]  5.161278e-01  5.161278e-01  0.5161278349  0.516127835
#>  [1038,]  2.857334e-01  2.857334e-01  0.2857333801  0.285733380
#>  [1039,]  3.978976e-01  3.978976e-01  0.3978975622  0.397897562
#>  [1040,]  1.958212e-01  6.267217e-01  0.6267217391  0.626721739
#>  [1041,] -1.437695e-01  2.550101e-01  0.2550101421  0.791587463
#>  [1042,]  2.235437e-01  2.235437e-01  0.2235437126  0.767135508
#>  [1043,] -4.885491e-02  8.494418e-02  0.6841452600  0.684145260
#>  [1044,]  1.195941e-01  8.638350e-01  0.1195941152  0.863835044
#>  [1045,]  4.515069e-02  6.176525e-01  0.6176525285  0.708802977
#>  [1046,]  8.465590e-02  5.329414e-01  0.9822685138  0.982268514
#>  [1047,]  2.589599e-01  9.255907e-01  0.9255906721  0.325033743
#>  [1048,]  2.637076e-01  4.113036e-01  1.0062416622  0.712400337
#>  [1049,]  4.218180e-01  4.218180e-01  0.7548667676  0.754866768
#>  [1050,]  5.256426e-01  4.049717e-01  0.5256426023  0.525642602
#>  [1051,]  3.343270e-01  9.879999e-01  0.3343270281  0.334327028
#>  [1052,]  3.795538e-01  3.795538e-01  0.6501805838  0.258291611
#>  [1053,]  1.358095e-01 -2.398951e-02  0.1358095208  1.059579657
#>  [1054,]  6.265857e-02  9.751043e-01  0.5790329527  0.579032953
#>  [1055,] -2.349963e-02 -2.349963e-02  0.6066693605  0.606669361
#>  [1056,] -3.293805e-01  6.935224e-01  0.6935223871  0.693522387
#>  [1057,] -1.550203e-01  2.695325e-01  0.7744249880  0.755597962
#>  [1058,]  4.277639e-02  6.389777e-01  0.5695311633  0.709816159
#>  [1059,] -2.682597e-01  7.205989e-01  0.5434293485  0.720598878
#>  [1060,] -1.661320e-01  6.015015e-01  0.4937516983  0.601501479
#>  [1061,]  2.603920e-01  2.766615e-01  0.4329739605  0.276661528
#>  [1062,] -1.588997e-01  9.705630e-01  0.7165967671  0.771120992
#>  [1063,]  4.150762e-01  4.211954e-01  1.1119006490  1.111900649
#>  [1064,]  3.146581e-01  3.597929e-01  0.3146581272  0.359792891
#>  [1065,]  2.272041e-01  2.272041e-01  0.2838778613  1.104617968
#>  [1066,]  2.425236e-01  4.981222e-01  0.2425236203  0.881810812
#>  [1067,]  5.141354e-01  5.141354e-01  0.5141354153  0.767185676
#>  [1068,] -2.195478e-01  3.907027e-01  0.4007257213  0.400725721
#>  [1069,]  5.512014e-01  3.708998e-01 -0.1773614631  0.551201362
#>  [1070,] -9.799494e-02  4.661318e-01  0.4661317670  0.466131767
#>  [1071,] -6.597723e-02  5.749757e-01  0.5749756960  0.568340451
#>  [1072,] -1.060632e-02  6.817972e-01 -0.0352913380  0.786496900
#>  [1073,]  5.005622e-01  3.592782e-01  0.2372495002  0.359278225
#>  [1074,]  3.273321e-01  5.247737e-01  0.3421576051  0.591068493
#>  [1075,]  1.484908e-01  1.484908e-01  0.1484908147  0.432364425
#>  [1076,]  3.272676e-01  3.272676e-01  0.3272675984  0.851898510
#>  [1077,]  4.197456e-01  3.404827e-01  0.4197456184  0.419745618
#>  [1078,]  3.696516e-01  7.562221e-01  0.3696515853  0.949195745
#>  [1079,]  2.728336e-01  6.840908e-01  0.6840907941  0.510788550
#>  [1080,]  3.806759e-01  5.048112e-01  0.4462729504  0.380675891
#>  [1081,]  4.957145e-01  4.957145e-01  0.4957144731  0.495714473
#>  [1082,]  3.015398e-01  3.015398e-01  0.7037464932  0.703746493
#>  [1083,] -1.010075e-01  5.337498e-01  0.5337498474 -0.101007521
#>  [1084,]  7.613122e-01  7.613122e-01  0.7613122224  0.412074038
#>  [1085,] -3.293724e-01  6.838578e-01  0.1880390740  0.683857753
#>  [1086,]  1.915495e-02  6.812385e-01  0.6812384666  0.781400809
#>  [1087,] -4.172956e-01  5.300009e-01  0.2188565285  0.530000912
#>  [1088,]  2.166823e-01  2.166823e-01  0.2166823481  0.295339704
#>  [1089,]  1.169445e-01  6.283823e-01  0.1169445301  0.960382429
#>  [1090,] -3.720865e-02  5.837163e-01  0.5837162547  0.859470234
#>  [1091,]  3.942853e-01  4.909087e-01  0.5520011036  0.599004045
#>  [1092,]  2.669707e-01  4.982605e-01  0.3878007648  0.748218135
#>  [1093,]  3.485480e-01  3.485480e-01  0.3467701333  0.791225292
#>  [1094,]  7.746016e-02  7.746016e-02  0.5199233637  0.519923364
#>  [1095,]  2.729404e-01  4.829580e-01  0.4829580195  0.272940420
#>  [1096,]  4.028871e-01  8.171725e-01  0.4028870885  0.564065664
#>  [1097,] -8.038319e-02  6.545454e-01  0.6545454329  0.048514001
#>  [1098,]  1.339735e-01  3.944907e-01  0.3944906633  0.812341977
#>  [1099,]  1.718205e-01  4.702933e-01  0.4702932993  0.470293299
#>  [1100,]  6.060397e-01  6.060397e-01  0.6060397256  0.606039726
#>  [1101,]  6.628605e-01  6.628605e-01  0.6628604887  0.662860489
#>  [1102,]  5.357742e-01  5.357742e-01  0.5357741827  0.535774183
#>  [1103,]  5.196188e-01  5.196188e-01  0.5196187869  0.519618787
#>  [1104,]  4.378536e-01  4.378536e-01  0.4378536148  0.437853615
#>  [1105,] -1.067752e-02  1.239297e-01  0.7984306064  0.798430606
#>  [1106,]  1.746788e-01  2.877144e-01  0.5441972368  0.544197237
#>  [1107,]  4.288794e-01  3.608856e-01  0.1849253832  0.360885586
#>  [1108,]  4.151737e-01  5.041712e-01  0.6113154608  0.415173666
#>  [1109,]  1.666523e-01  1.574886e-01  0.6612384195  0.922940260
#>  [1110,]  3.045761e-01  5.244155e-02  0.3045760904  1.107469897
#>  [1111,] -4.211849e-01  3.061968e-01  0.2348866980  0.583648593
#>  [1112,]  4.685368e-02  1.710720e-01  0.1259041180  0.629851700
#>  [1113,] -6.402587e-02 -2.954249e-02  0.5253293648  1.011697969
#>  [1114,] -2.522140e-01  7.150704e-01  0.7873389305  0.693628414
#>  [1115,] -9.765558e-03  9.171944e-01  0.9171943705  0.917194370
#>  [1116,] -5.474553e-01  7.878392e-01  0.6770191750  0.683072451
#>  [1117,]  5.822808e-02  1.633427e-01 -0.1723460833  0.593128433
#>  [1118,]  2.835719e-01  8.743218e-02  0.0874321763  0.400548794
#>  [1119,]  4.270772e-01  4.746163e-01  0.2165035318  0.836394573
#>  [1120,]  1.966217e-01  9.070264e-01 -0.3184430991  0.907026358
#>  [1121,]  6.408136e-01  3.941984e-01  0.6408135759  0.640813576
#>  [1122,]  4.081297e-01  4.081297e-01  0.4081296946  0.264828377
#>  [1123,] -5.431363e-02  3.568757e-01  0.3568757081  0.356875708
#>  [1124,]  4.862738e-03  5.352398e-01  0.5328437015  0.532843701
#>  [1125,]  3.537506e-01  3.537506e-01  0.5454469152  0.591216319
#>  [1126,]  3.477588e-01  3.477588e-01  0.8673020402  0.867302040
#>  [1127,]  5.007400e-01  7.445702e-01  0.7445701682  0.744570168
#>  [1128,]  5.051689e-01  7.371434e-01  0.7371433841  0.228395207
#>  [1129,] -2.194700e-01  6.843371e-01  0.4912464000  0.684337125
#>  [1130,] -8.378949e-02  5.409976e-01 -0.0541828782  0.698897074
#>  [1131,]  2.017181e-01  6.529474e-01  0.6529474151  0.652947415
#>  [1132,]  3.508727e-01  5.510097e-01  0.3508726837  0.551009683
#>  [1133,]  1.823145e-01  5.921160e-01  0.5948755880  0.594875588
#>  [1134,]  3.498114e-01  3.580149e-01  0.3580148851  0.358014885
#>  [1135,] -1.785955e-01  2.469902e-01  0.5032097734  0.503209773
#>  [1136,]  1.548491e-01  5.452115e-01  0.5452114964  0.545211496
#>  [1137,]  4.944177e-01  4.944177e-01  0.4944177312  0.494417731
#>  [1138,]  6.578464e-01  6.578464e-01  0.6578463903  0.657846390
#>  [1139,]  3.485122e-01  3.485122e-01  0.4395597610  0.361787028
#>  [1140,]  2.299434e-01  2.299434e-01  0.5826900209  0.582690021
#>  [1141,]  2.963879e-01  8.558593e-01 -0.0659088276  0.855859286
#>  [1142,]  4.083945e-01  4.083945e-01  0.8207187796  0.820718780
#>  [1143,]  5.583565e-01  4.770671e-01  0.5583565116  0.558356512
#>  [1144,]  2.987045e-01  2.987045e-01  0.2987044566  0.857118993
#>  [1145,]  4.357275e-01  4.357275e-01  0.4357275165  0.435727517
#>  [1146,]  5.218978e-01  5.218978e-01  0.5218978140  0.521897814
#>  [1147,]  4.581036e-01  4.581036e-01  0.4581036015  0.458103602
#>  [1148,]  6.334415e-01  6.334415e-01  0.6334414731  0.633441473
#>  [1149,] -3.397322e-01  7.008508e-01  0.7008507592  0.700850759
#>  [1150,]  4.845847e-01  4.845847e-01  0.4845846799  0.484584680
#>  [1151,]  4.632554e-01  5.562430e-01  0.5562430403  0.556243040
#>  [1152,]  5.511590e-01  5.511590e-01  0.5511590049  0.717619799
#>  [1153,]  3.340035e-01  6.759257e-01  0.6469684204  0.646968420
#>  [1154,]  3.764309e-01  5.349666e-01  0.5349666459  0.713145682
#>  [1155,]  1.049711e-01  4.122850e-01  0.4122850074  0.584361982
#>  [1156,]  1.923815e-01  7.752924e-01  0.4544396891  0.775292419
#>  [1157,]  3.951189e-01  7.101161e-01  0.7101160653  0.710116065
#>  [1158,]  2.647846e-01  6.591445e-01  0.6591444695  0.659144469
#>  [1159,]  5.619629e-01  3.801169e-01  1.0298212234  0.380116934
#>  [1160,]  8.724295e-01  7.896609e-01  0.7896609438  0.872429505
#>  [1161,]  3.488373e-01  3.488373e-01  0.6826407584  0.665881838
#>  [1162,]  2.632261e-01  2.632261e-01  0.2632260534  0.690131561
#>  [1163,] -2.859080e-01  4.235737e-01  0.1006281274  0.423573736
#>  [1164,]  1.354036e-01  5.687303e-01  0.5687303107  0.568730311
#>  [1165,]  6.197041e-01  6.197041e-01  0.6197041488  0.619704149
#>  [1166,]  6.002615e-01  6.002615e-01  0.6002615059  0.600261506
#>  [1167,]  5.346507e-01  5.346507e-01  0.5346506927  0.534650693
#>  [1168,]  3.098683e-01  3.098683e-01  0.3098682652  0.309868265
#>  [1169,]  5.323162e-01  5.323162e-01  0.5323162087  0.532316209
#>  [1170,]  2.623944e-02  2.623944e-02  0.0262394366  0.590091042
#>  [1171,]  4.980730e-02  5.789998e-01  0.5789997621  0.578999762
#>  [1172,]  3.378128e-01  5.916689e-01  0.5916689293  0.591668929
#>  [1173,] -1.345706e-01  5.655300e-01  0.5655299602  0.565529960
#>  [1174,]  1.869610e-01  1.869610e-01  0.1869610405  0.186961040
#>  [1175,]  4.462005e-01  4.462005e-01  0.4462004645  0.446200465
#>  [1176,]  6.042781e-01  6.042781e-01  0.6042780526  0.604278053
#>  [1177,]  5.046463e-01  5.046463e-01  0.5046462683  0.504646268
#>  [1178,]  1.992897e-01  7.824204e-01  0.7072202853  0.501553219
#>  [1179,]  5.162308e-01  4.673365e-01  0.4451103506  1.141209137
#>  [1180,]  1.789713e-01  1.738712e-01  0.1738711992  0.787507520
#>  [1181,]  4.934662e-01  1.122547e-01  0.7843654693  0.784365469
#>  [1182,]  4.006363e-01  9.862433e-01  0.4006362561  0.788786331
#>  [1183,]  4.981361e-01  6.461879e-01  0.4609830066  0.976150027
#>  [1184,]  5.073085e-01  5.073085e-01  0.5073084727  0.507308473
#>  [1185,]  3.903947e-01  6.452833e-01  0.6452832853  0.645283285
#>  [1186,] -7.989257e-02  5.971091e-02  0.6382523779  0.638252378
#>  [1187,]  3.377232e-01  4.491525e-01  0.4491524733  0.449152473
#>  [1188,]  4.770879e-01  4.770879e-01  0.4770878815  0.477087881
#>  [1189,]  4.708830e-01  4.708830e-01  0.4708829649  0.470882965
#>  [1190,] -5.125647e-02  6.016455e-01  0.4669600544  0.601645522
#>  [1191,]  5.407650e-01  7.622917e-01  0.7622916698  0.762291670
#>  [1192,]  4.803297e-01  4.765747e-01  0.4803297124  0.476574702
#>  [1193,] -3.916125e-01  1.912707e-01  0.7767298821  0.661303891
#>  [1194,]  1.204198e-01  3.793892e-01  0.3942510204  0.994983546
#>  [1195,] -4.115965e-02  5.507515e-01  0.5507514969  0.774024177
#>  [1196,]  1.290195e-01  6.502566e-01  0.1290195049  0.884160382
#>  [1197,]  1.012389e-01  4.202612e-01  0.4202612260  0.420261226
#>  [1198,] -2.588685e-01  7.228446e-01  0.5500780898  0.722844565
#>  [1199,]  6.338379e-01  6.338379e-01  0.8138855446  0.934379791
#>  [1200,]  4.574545e-01  9.078816e-01  0.8029816060  0.756634243
#>  [1201,]  4.942273e-01  4.942273e-01  0.4942272685  0.494227268
#>  [1202,]  1.906822e-01  6.091797e-01  0.6091797031  0.609179703
#>  [1203,]  1.925282e-01  3.577664e-01  0.3467743222  0.677097949
#>  [1204,] -2.295845e-01  5.945904e-01  0.3797445298  0.916004609
#>  [1205,]  2.595895e-01  3.547888e-01  0.1658560951  0.589468569
#>  [1206,] -3.828372e-01  3.350153e-01  0.4194178801  0.921652230
#>  [1207,]  1.850837e-02  2.858535e-01  0.3889798280  0.713999157
#>  [1208,]  1.681693e-01  2.440262e-01  0.6763751740  0.676375174
#>  [1209,]  6.854037e-01  6.854037e-01  0.6854037406  0.685403741
#>  [1210,]  3.959663e-01  3.959663e-01  0.3959663076  0.395966308
#>  [1211,]  3.654620e-01  3.654620e-01  0.3654619990  0.365461999
#>  [1212,]  5.300024e-01  5.300024e-01  0.5300024199  0.530002420
#>  [1213,]  3.933249e-01  3.933249e-01  0.0039246144  0.393324853
#>  [1214,]  5.673093e-01  9.084165e-01  0.5673093236  0.567309324
#>  [1215,]  5.306460e-01  6.792706e-01  0.5306459764  0.679270625
#>  [1216,] -8.469975e-02  6.189018e-01  0.6189017780  0.618901778
#>  [1217,]  1.019411e-01  6.297548e-01  0.6297547909  0.629754791
#>  [1218,]  3.754570e-01  5.921554e-01  0.7297108480  0.592155366
#>  [1219,]  3.293189e-01  7.266275e-01  0.3550613583  0.329318935
#>  [1220,]  6.205493e-01  6.190682e-01  0.4356966200  0.674081641
#>  [1221,]  4.495867e-01  4.495867e-01  0.4660986179  0.334969793
#>  [1222,]  5.665673e-01 -2.061007e-01  0.5665673007  0.566567301
#>  [1223,] -3.136914e-01  4.917015e-01  0.4917014948  0.491701495
#>  [1224,]  4.873246e-02  7.641797e-01  0.7641797220  0.764179722
#>  [1225,]  2.115922e-01  8.727995e-01  0.6785982226  0.678598223
#>  [1226,]  3.874370e-01  3.874370e-01  0.5307028935  0.934794669
#>  [1227,]  5.297593e-01  7.110730e-01  0.7110729877  0.880896520
#>  [1228,]  4.486677e-01  4.486677e-01  0.4486676542  0.448667654
#>  [1229,]  4.813150e-01  4.813150e-01  0.4395548530  0.481314959
#>  [1230,]  1.861243e-01  8.327455e-01  0.5674296991  0.807181311
#>  [1231,]  4.514909e-01  1.029176e+00  1.0291762650  0.825847190
#>  [1232,]  6.336930e-01  7.190662e-01  0.0941305306  0.633692966
#>  [1233,] -1.820546e-01  2.120681e-01  0.2618769697  0.457129288
#>  [1234,]  4.807921e-02  4.807921e-02  0.4422878704  0.782507273
#>  [1235,] -2.043157e-01  3.892189e-01  0.2946421754  0.727537973
#>  [1236,]  8.770697e-02  5.808377e-01  0.3683892311  0.580837661
#>  [1237,]  3.119730e-01  7.706222e-01  0.7706221761  0.770622176
#>  [1238,]  3.376867e-01  5.730966e-01  0.6423996718  0.642399672
#>  [1239,]  4.856025e-01  4.973370e-01  0.4973369927  0.485602537
#>  [1240,]  4.341851e-01  4.341851e-01  0.4341850815  0.507366498
#>  [1241,]  2.203826e-01  2.203826e-01  0.2203825722  0.220382572
#>  [1242,]  4.185959e-01  4.185959e-01  0.8025667507  0.418595876
#>  [1243,] -7.878673e-02  6.032521e-01  0.6032520530  0.603252053
#>  [1244,]  1.570080e-02  4.433279e-01  0.2240289703  0.666671175
#>  [1245,]  2.105817e-01  2.258276e-01  0.5158975931  0.836335538
#>  [1246,] -2.182471e-01  7.962405e-01  0.5490971349  0.796240465
#>  [1247,] -4.515430e-02  3.471846e-01  0.6461964163  0.371790503
#>  [1248,]  4.336871e-01  7.578603e-01  0.7029263394  0.702926339
#>  [1249,]  4.232246e-01  4.232246e-01  0.4232246345  0.811756829
#>  [1250,]  4.032586e-01  4.368453e-01  0.4368452713  0.371251828
#>  [1251,]  2.264802e-01  2.264802e-01  0.6353993340  0.562806570
#>  [1252,]  1.163746e-01  1.163746e-01  0.9413131952  0.941313195
#>  [1253,]  2.534371e-01  3.072676e-01  0.3063381871  1.383427403
#>  [1254,]  2.484900e-01  2.484900e-01  0.2484899547  0.248489955
#>  [1255,]  3.975407e-01  3.975407e-01  0.3975407177  0.397540718
#>  [1256,]  1.930248e-01  8.343663e-01  0.1930247896  0.690127460
#>  [1257,]  3.959999e-01  5.203232e-01  0.3959998779  0.844564692
#>  [1258,] -1.091220e-01  5.673455e-01  0.7621293943  0.762129394
#>  [1259,]  1.434643e-01  4.895020e-01  0.4895019676  0.640664153
#>  [1260,]  4.912825e-01  4.912825e-01  0.4912825413  0.760530417
#>  [1261,]  6.817242e-02  6.817242e-02  0.6601663019  0.517910116
#>  [1262,]  8.466913e-02  6.106484e-01  0.7680478995  0.768047899
#>  [1263,]  6.456111e-01  7.801260e-01  0.6456111412  0.645611141
#>  [1264,]  4.916290e-01  4.916290e-01  0.4916289767  0.970593171
#>  [1265,]  1.603702e-01  4.592688e-01  0.4592687588  0.885189899
#>  [1266,]  2.324521e-01  4.536898e-01  0.2324520656  0.453689782
#>  [1267,]  3.848314e-01  3.848314e-01  0.3848313651  0.384831365
#>  [1268,]  3.743606e-01  3.743606e-01  0.8127811225  0.608100306
#>  [1269,]  1.030018e-01  3.348833e-01  0.3348833121  0.703814519
#>  [1270,]  4.493722e-01  1.009958e+00  0.1800126908  1.009958256
#>  [1271,]  4.630737e-01  9.529967e-01  0.0088587944  0.463073735
#>  [1272,]  3.502768e-01  3.305506e-01  0.3502767679  0.350276768
#>  [1273,]  5.610010e-01  7.352664e-01  0.7352663968  0.735266397
#>  [1274,]  3.136406e-01  7.396607e-01  0.7396607020  0.906812610
#>  [1275,]  5.578380e-01 -1.763347e-01  0.3794448569  1.046857443
#>  [1276,]  5.806674e-01  5.896076e-01  0.5896075696  0.893356145
#>  [1277,]  5.204507e-01  8.805011e-01  0.5204506931  0.981365526
#>  [1278,]  2.419024e-03  3.458723e-01  0.3458722571  0.975669078
#>  [1279,]  3.147727e-01  3.147727e-01  0.3147726819  0.808084414
#>  [1280,]  2.571303e-01  2.571303e-01  0.5612762403  0.257130318
#>  [1281,]  8.501998e-03  6.487148e-01  0.6487147943  0.648714794
#>  [1282,]  1.147569e-01  5.637231e-01  0.5637230583  0.563723058
#>  [1283,]  4.176416e-01  4.176416e-01  0.4176415713  0.417641571
#>  [1284,]  3.515531e-01  6.395218e-01  0.3515531039  0.351553104
#>  [1285,]  6.598809e-01  6.598809e-01  0.6598809360  0.659880936
#>  [1286,]  4.958799e-01  4.958799e-01  0.4958798867  0.495879887
#>  [1287,]  4.322550e-01  2.158845e-01  0.4322549594  0.432254959
#>  [1288,]  4.472450e-01  4.472450e-01  0.6529227422  1.114327525
#>  [1289,]  9.037801e-02  5.383110e-01  0.5843117398  0.584311740
#>  [1290,]  5.785982e-01  5.785982e-01  0.5785982309  0.578598231
#>  [1291,]  5.443233e-01  5.443233e-01  0.5443232809  0.544323281
#>  [1292,]  6.944273e-01  6.944273e-01  0.6944272547  0.694427255
#>  [1293,] -7.216423e-01  9.024318e-01  0.9024318352  0.902431835
#>  [1294,]  3.348679e-01  5.140923e-01  0.3348678544  0.514092305
#>  [1295,]  1.931206e-01  1.931206e-01  0.5600373744  0.641987852
#>  [1296,]  1.684520e-01 -1.944894e-01  0.1684520147  0.600647012
#>  [1297,]  4.366506e-01  4.366506e-01  0.4366505686  0.436650569
#>  [1298,]  5.862949e-01  5.862949e-01  0.5862948685  0.586294868
#>  [1299,]  6.164934e-02  2.309945e-01  0.4205117222  0.952046887
#>  [1300,] -1.707810e-02  4.346686e-01  0.4346685793  0.817940961
#>  [1301,]  5.445224e-01  7.174312e-02  0.3711881318  0.826350104
#>  [1302,]  4.162747e-01  3.806786e-01  0.4162747232  0.380678638
#>  [1303,]  5.343645e-01  5.343645e-01  0.5343644730  0.534364473
#>  [1304,]  4.940392e-01  4.940392e-01  0.4940392356  0.494039236
#>  [1305,]  1.191660e-01  5.885306e-01  0.5236383631  0.588530572
#>  [1306,]  6.364633e-01  6.364633e-01  0.6364632534  0.636463253
#>  [1307,]  3.049500e-01  3.049500e-01  0.3049500480  0.390308610
#>  [1308,]  1.333394e-01  1.333394e-01  0.1333394463  0.494634055
#>  [1309,]  8.809978e-02  3.574366e-01  0.5633813530  0.357436568
#>  [1310,] -1.170911e-01  6.030861e-01  0.2312200121  0.603086085
#>  [1311,] -2.500708e-01  4.824528e-01  0.6023520950  0.482452801
#>  [1312,]  6.586620e-01  4.922884e-01  0.6586619686  0.492288354
#>  [1313,]  4.145552e-01  4.145552e-01  0.7343122870  0.734312287
#>  [1314,] -4.124001e-01  7.523232e-01  0.7523231526  0.752323153
#>  [1315,]  2.824796e-01  5.338398e-01  0.4748831726  0.533839790
#>  [1316,]  2.293243e-01  2.293243e-01  0.3158623879  0.613477096
#>  [1317,]  1.275234e-02  3.378892e-01  0.3378891995  0.762118754
#>  [1318,]  3.104330e-01  3.680882e-01  0.3680881513  0.504792701
#>  [1319,]  1.687314e-01  3.534126e-01  0.3534126187  0.353412619
#>  [1320,]  2.755675e-01  6.490246e-01  0.6490245899  0.649024590
#>  [1321,]  2.667683e-01  2.667683e-01  0.1562212510  0.860741460
#>  [1322,]  1.849404e-01  2.024470e-02  0.7992022474  1.179650531
#>  [1323,]  3.949596e-01  3.949596e-01 -0.1153777677  1.172064241
#>  [1324,]  1.122612e-01  6.275654e-01  0.2894400008  0.605794773
#>  [1325,]  3.329388e-01  6.567888e-01  0.3573747113  0.656788831
#>  [1326,]  1.128145e-01  1.128145e-01  0.2612145926  0.630351757
#>  [1327,]  3.039545e-01  3.741523e-01  0.3039544770  0.406319660
#>  [1328,]  6.577827e-01  7.287066e-01  0.2411044488  0.728706599
#>  [1329,] -1.482645e-01  6.000177e-01  0.6000176784  0.600017678
#>  [1330,]  5.179981e-01  5.179981e-01  0.5179980560  0.517998056
#>  [1331,]  5.393878e-01  5.393878e-01  0.5393878316  0.539387832
#>  [1332,]  5.482428e-01  4.590773e-01  0.5482427538  0.548242754
#>  [1333,]  3.697871e-01  3.697871e-01  0.3697870631  0.369787063
#>  [1334,]  2.128333e-01  5.647220e-01  0.5647220129  0.564722013
#>  [1335,]  5.768980e-02  8.202455e-01  0.7922565559  0.792256556
#>  [1336,]  3.542648e-01  7.488957e-01  0.7488957303  0.748895730
#>  [1337,]  5.872200e-01  2.571520e-01 -0.2579898249  0.587220007
#>  [1338,] -3.901199e-01  3.897308e-01 -0.1975566415 -0.269827773
#>  [1339,] -6.951495e-02  5.388557e-01 -0.2019340394  0.488682187
#>  [1340,] -2.830807e-01  3.183579e-01  0.3183578631  1.209997522
#>  [1341,]  2.789790e-01  2.789790e-01  0.2789790494  0.278979049
#>  [1342,]  1.032271e-01  8.533996e-01  0.3672074724  0.853399588
#>  [1343,]  5.644710e-02  7.921810e-01  0.7921809517  0.792180952
#>  [1344,] -4.389565e-02  3.555067e-01  0.5601399091  0.410153878
#>  [1345,]  5.373591e-01  5.592626e-01  0.4327403600  0.559262617
#>  [1346,] -2.684674e-01  6.015405e-01  0.3528595874  0.427811395
#>  [1347,] -1.524342e-01  4.976288e-01  0.7800362566  0.497628793
#>  [1348,]  1.535375e-01  2.184831e-01  0.7912882420  0.791288242
#>  [1349,]  1.407684e-01  4.924338e-01  0.1407683911  0.836119405
#>  [1350,]  7.537235e-02  3.903609e-01  0.3125394492  0.839962166
#>  [1351,]  4.909156e-02  1.229519e-01  0.1229519498  0.623506077
#>  [1352,]  5.616955e-01  5.996690e-01  0.5996689685  0.599668969
#>  [1353,]  3.998694e-01  3.998694e-01  0.3998693551  0.399869355
#>  [1354,]  5.146281e-01  5.146281e-01  0.5146281046  0.514628105
#>  [1355,]  7.309793e-01  7.309793e-01  0.7309793105  0.730979310
#>  [1356,]  5.774413e-01  5.774413e-01  0.7662153831  0.577441334
#>  [1357,]  5.892748e-01  4.707008e-01  0.4707007526  0.589274785
#>  [1358,]  7.091774e-01  7.807358e-01  0.7091774239  0.780735787
#>  [1359,]  8.253031e-01  8.253031e-01  0.8253030943  0.825303094
#>  [1360,]  4.543596e-01  4.543596e-01  0.4543595901  0.981045667
#>  [1361,]  5.889917e-01  4.106556e-01  0.1203094713  0.588991691
#>  [1362,]  7.992177e-02  3.677486e-01  0.3121933228  0.668317054
#>  [1363,]  2.710997e-01  8.674400e-01  0.8674400164  0.867440016
#>  [1364,] -1.912936e-01  8.348003e-01  0.2649542098  0.264954210
#>  [1365,]  2.952654e-01  6.241314e-01  0.2524701004  1.054246121
#>  [1366,]  2.177598e-01  2.218902e-02  0.3607934488  0.826830532
#>  [1367,]  1.144714e-01  1.144714e-01  0.6128091553  0.544398739
#>  [1368,]  2.235409e-01  7.443066e-01  0.2235408828  0.223540883
#>  [1369,] -3.847040e-03  7.155254e-01  0.2566329622  0.715525445
#>  [1370,]  5.947165e-01  5.947165e-01  0.5947164688  0.594716469
#>  [1371,] -2.766683e-01  5.753625e-01  0.5236941301  0.800393579
#>  [1372,]  3.325405e-01  4.859168e-01  0.8602800245  0.643686545
#>  [1373,]  5.132255e-01  5.478888e-01  0.5478887705  0.777346771
#>  [1374,]  3.883821e-01  6.832995e-01  0.6832995426  1.181564023
#>  [1375,]  2.987402e-01  5.090354e-01  0.7092964900  0.926541024
#>  [1376,]  3.921842e-01  5.464601e-01  0.8171076639  0.817107664
#>  [1377,] -2.521993e-01  5.566259e-01  0.5566259328  0.556625933
#>  [1378,]  5.413273e-01  6.345269e-01  0.5413273199  0.541327320
#>  [1379,]  4.171117e-02  2.887655e-01  0.6375846307  0.906607647
#>  [1380,]  1.692819e-01  1.692819e-01  0.3466685129  0.844928869
#>  [1381,] -2.282842e-02  7.227609e-01  0.7227609372  0.560644616
#>  [1382,] -2.124464e-01  1.881726e-01  0.8290404606  0.829040461
#>  [1383,]  8.181189e-02  8.181189e-02  0.8133075019  0.813307502
#>  [1384,]  1.312072e-01  8.196099e-01  0.8196099188  0.819609919
#>  [1385,]  3.909886e-01  8.147714e-01  0.8147714437  0.814771444
#>  [1386,]  5.717615e-01  5.717615e-01  0.5717615417  0.945185132
#>  [1387,]  3.346421e-01  3.346421e-01  0.3346421038  0.887506025
#>  [1388,]  4.397465e-02  1.679753e-01  0.3098855646  1.016746074
#>  [1389,]  4.346102e-01  4.346102e-01  0.2707825359  0.434610188
#>  [1390,]  5.454227e-01  1.200704e-01  0.5454226543  0.545422654
#>  [1391,] -1.174401e-01  7.188066e-01  0.4589344076  0.458934408
#>  [1392,]  7.583607e-02  6.820792e-01  0.7279797740  0.796984675
#>  [1393,]  3.402595e-02  7.492534e-01  0.7492534069  0.749253407
#>  [1394,]  1.076449e-01  6.973148e-01  0.6973148496  0.697314850
#>  [1395,]  2.631592e-01  6.160113e-01  0.9415953315  0.736181060
#>  [1396,]  2.579795e-01  7.145242e-01  0.7145241854  0.714524185
#>  [1397,]  4.127431e-01  8.618692e-01  0.4127430739  0.412743074
#>  [1398,] -2.616343e-01  6.000270e-01  0.6000269575  1.059341709
#>  [1399,] -3.559261e-01  2.295499e-01  0.2295498602  1.222639947
#>  [1400,]  4.057326e-01  4.057326e-01  0.4057325984  0.569165688
#>  [1401,]  3.093429e-01  4.660410e-01  0.3093429140  0.993460851
#>  [1402,]  2.943437e-01  3.163184e-01  0.3163184424  1.149839196
#>  [1403,]  4.807846e-01  4.807846e-01  0.4807845886  0.480784589
#>  [1404,]  5.560245e-01  5.560245e-01  0.5560245225  0.556024523
#>  [1405,]  8.794410e-03  5.348563e-01  0.0087944100  0.534856324
#>  [1406,]  3.803899e-01  3.803899e-01  0.3803899183  0.380389918
#>  [1407,]  7.141392e-01  7.141392e-01  0.7141392047  0.714139205
#>  [1408,]  4.961470e-01  4.961470e-01  0.4961470394  0.496147039
#>  [1409,]  4.489630e-01  4.489630e-01  0.4489629842  0.448962984
#>  [1410,]  3.998184e-01  3.998184e-01  0.3998184085  0.399818409
#>  [1411,]  6.323391e-01  6.323391e-01  0.6323390847  0.632339085
#>  [1412,]  1.124533e-01  1.124533e-01  0.1124533011  0.112453301
#>  [1413,]  2.035402e-01  2.035402e-01  0.7632307506  0.763230751
#>  [1414,]  1.987695e-01  4.833624e-01  0.4833623667  0.483362367
#>  [1415,]  2.157078e-01  2.157078e-01  0.7476899346  0.747689935
#>  [1416,]  4.463884e-02  6.009621e-01  0.6009621045  0.690030898
#>  [1417,]  3.254349e-01  1.100478e+00  0.8129700687  1.100477776
#>  [1418,]  4.682456e-01  4.682456e-01  0.5010828767  0.468245602
#>  [1419,]  6.621213e-02  4.344261e-01  0.4262773874  0.426277387
#>  [1420,]  3.398533e-01  3.398533e-01  0.5939659709  0.593965971
#>  [1421,]  7.635448e-01  7.635448e-01  0.7635447567  0.763544757
#>  [1422,] -1.737496e-01  5.816740e-01  0.5816739600  0.581673960
#>  [1423,]  4.831181e-01  4.831181e-01  0.4831181419  0.483118142
#>  [1424,] -3.759499e-01  1.066135e-01  0.5956155638  0.595615564
#>  [1425,]  3.934231e-01  3.934231e-01  0.7613829273  0.393423129
#>  [1426,]  2.440198e-03  6.995948e-01  0.0024401982  0.688684086
#>  [1427,]  7.216559e-01  7.216559e-01  0.7216558571  0.721655857
#>  [1428,]  5.235704e-01  5.235704e-01  0.5235704160  0.523570416
#>  [1429,]  3.571453e-01  5.457657e-01  0.5457656913  0.545765691
#>  [1430,]  1.932708e-01  1.932708e-01  0.1932707978  0.977747664
#>  [1431,]  3.285840e-01  9.647494e-01  0.9821683775  0.982168377
#>  [1432,]  2.991841e-01  2.991841e-01  0.2842518798  0.766341995
#>  [1433,]  2.723727e-01  6.214296e-01  0.6214296011  0.621429601
#>  [1434,]  2.592555e-01  5.838634e-01  0.5838633559  0.583863356
#>  [1435,]  7.342741e-02  6.041451e-01  0.6041450854  0.604145085
#>  [1436,]  3.238770e-03  8.216644e-01  0.8216644468  0.821664447
#>  [1437,]  3.688998e-01  7.786574e-01  0.7786573786  0.778657379
#>  [1438,]  4.031052e-01  4.031052e-01  0.4031051672  0.746519363
#>  [1439,]  4.323730e-01  5.635126e-01  0.5814536333  0.563512617
#>  [1440,]  5.259911e-01  6.322738e-01  0.6322738363  0.525991127
#>  [1441,]  5.897630e-01  4.038185e-01  0.5745703298  0.403818547
#>  [1442,]  4.548500e-01  4.548500e-01  0.4548499928  0.454849993
#>  [1443,]  1.492264e-01  1.492264e-01  0.3643633095  0.975928653
#>  [1444,]  3.006144e-01  3.006144e-01  1.0370039822  0.992073060
#>  [1445,]  4.416231e-01  4.994915e-01  0.9597179309  1.099370171
#>  [1446,]  2.683365e-01  8.991684e-01  0.3485249366  0.268336459
#>  [1447,] -5.711489e-01  4.031256e-01  0.2689398166  0.268939817
#>  [1448,]  5.254708e-01  4.978329e-01  0.5254708326  0.570775320
#>  [1449,]  1.629137e-01  5.873315e-01  0.5873314947  0.587331495
#>  [1450,]  2.653487e-02  5.335522e-01  0.5335522288  0.581467441
#>  [1451,]  2.267635e-01  7.932728e-01  0.7932728424  0.793272842
#>  [1452,] -1.617220e-02  6.014766e-01  0.6014766242  0.601476624
#>  [1453,] -2.449534e-01  5.884620e-01  0.5884619797  0.588461980
#>  [1454,]  7.407062e-02  2.711172e-01  0.8543199819  0.854319982
#>  [1455,] -5.972683e-02  8.206781e-01  0.5149003607  0.830308085
#>  [1456,]  2.369050e-01  2.891961e-01  0.2891960503  0.289196050
#>  [1457,]  3.976114e-01  3.976114e-01  0.3976114179  0.397611418
#>  [1458,] -4.606682e-02  5.419025e-01  0.5419025090  0.541902509
#>  [1459,]  3.851318e-01  5.765539e-01  0.5765539365  0.576553936
#>  [1460,]  5.234203e-01  5.234203e-01  0.5234202626  0.697778377
#>  [1461,]  6.681219e-01  8.108156e-01  0.6681218508  0.810815600
#>  [1462,]  4.469273e-01  4.469273e-01  0.4469272804  0.857844813
#>  [1463,]  2.609648e-02  4.832381e-01  0.4832380776  0.948949260
#>  [1464,]  1.492089e-01  6.174251e-01  0.6174251200  0.793965692
#>  [1465,]  2.191818e-01  2.191818e-01  0.6124697128  0.715473003
#>  [1466,]  1.073112e-01  8.304158e-01  0.7624725845  0.778846125
#>  [1467,]  3.364228e-01  7.956677e-01  0.7956677101  0.788194893
#>  [1468,]  5.345108e-01  5.345108e-01  0.5345108039  0.991447251
#>  [1469,]  2.340290e-01  6.572654e-01  0.6755999909  0.675599991
#>  [1470,]  3.529871e-01  4.956778e-01  0.3529871422  0.495677849
#>  [1471,]  4.539253e-01  5.152316e-01  0.4539252750  0.528249717
#>  [1472,]  1.750173e-01  5.319693e-01  0.1750173127  0.554477641
#>  [1473,]  2.866077e-01  4.389612e-01  0.4389611553  0.438961155
#>  [1474,] -3.352211e-01  6.910383e-01  0.9552640879  0.691038339
#>  [1475,]  2.452519e-01  6.132088e-01  0.8891118989  0.889111899
#>  [1476,]  3.284646e-01  3.284646e-01  0.3284645643  0.328464564
#>  [1477,]  2.586531e-01  2.586531e-01  0.2586530729  0.258653073
#>  [1478,] -3.018488e-01  4.697733e-01  0.5438089667  0.469773298
#>  [1479,]  6.683906e-01  5.900497e-01  0.7909633277  0.668390649
#>  [1480,]  2.830595e-01  2.830595e-01  0.1717466787  0.283059472
#>  [1481,]  3.406088e-01  2.233572e-01  0.3406087827  0.340608783
#>  [1482,]  3.227489e-01  3.227489e-01  0.3227489140  0.397110061
#>  [1483,]  4.935536e-01  4.935536e-01  0.4935536247  0.492924993
#>  [1484,] -1.339992e-01  4.207712e-01  0.4207712064  0.606270274
#>  [1485,] -1.479115e-01  8.032615e-01  0.8260821387  0.450486289
#>  [1486,] -2.585729e-01  5.016430e-01  0.7187231689  0.593884026
#>  [1487,] -6.085159e-01  5.428309e-01  0.5428309291  0.471892616
#>  [1488,] -3.186995e-02  5.677902e-01  0.3579838919  0.567790172
#>  [1489,]  2.674555e-01  2.674555e-01  0.2674555498  1.108727392
#>  [1490,]  3.587993e-01  3.587993e-01  0.3587992520  0.827242794
#>  [1491,]  1.826149e-01  4.876284e-01  0.1826148771  0.664239514
#>  [1492,] -2.439039e-01  6.529452e-01  0.4602671048  0.756095863
#>  [1493,]  1.500758e-01  7.162963e-01  0.5848911396  0.716296319
#>  [1494,] -3.383453e-03  2.497208e-01  0.5301946036  0.530194604
#>  [1495,] -2.386145e-02  2.935897e-01  0.6723147791  0.672314779
#>  [1496,]  1.007131e-01  7.708421e-01  0.5781206333  0.715279951
#>  [1497,]  3.769694e-01  3.769694e-01  0.5804192073  0.580419207
#>  [1498,] -1.920975e-01  7.026333e-01  0.5717430754  0.571743075
#>  [1499,]  6.448358e-01  4.586660e-01  0.4586659946  0.458665995
#>  [1500,]  6.812671e-01  6.812671e-01  0.6812670576  0.681267058
#>  [1501,]  9.312721e-02  5.627754e-01  0.1889868883  0.867243361
#>  [1502,]  1.216613e-01  5.227303e-01  0.4173663434  0.522730303
#>  [1503,]  4.283409e-01  4.283409e-01  0.4283409462  0.428340946
#>  [1504,]  1.948603e-01  4.440327e-01  0.4440327339  0.444032734
#>  [1505,]  4.896256e-01  4.896256e-01  0.4896255735  0.678296435
#>  [1506,]  4.273119e-01  8.923432e-01  0.4273119080  0.892343187
#>  [1507,]  5.277649e-01  6.774647e-01  0.5087639706  0.894435360
#>  [1508,]  3.685535e-01  4.740813e-01  0.8717841163  0.368553503
#>  [1509,]  2.882057e-01  6.403550e-01  0.2882057065  0.978268360
#>  [1510,] -5.098549e-02  9.852191e-01  0.9852190707  0.985219071
#>  [1511,]  4.661699e-01  7.815196e-01  0.4661699023  0.781519566
#>  [1512,] -1.211032e-02  7.797389e-01  0.5963590310  0.596359031
#>  [1513,]  1.933472e-01  1.049057e+00  0.4237032855  0.423703286
#>  [1514,]  3.503539e-01  5.297123e-01  0.5305012006  0.647742616
#>  [1515,]  4.830616e-02  7.309447e-01  0.7317927089  0.730944714
#>  [1516,]  1.269778e-02  5.816315e-01  0.2443995137  0.581631542
#>  [1517,]  4.101739e-02  4.101739e-02  0.5412145486  0.541214549
#>  [1518,]  1.230829e-01  8.885997e-01  0.2377646564  0.500965942
#>  [1519,]  2.955523e-01  2.955523e-01  0.2955522633  0.567725613
#>  [1520,] -3.832466e-02  4.266214e-01  0.6420286004  0.642028600
#>  [1521,]  3.430301e-01  3.430301e-01  0.3430300597  0.591374214
#>  [1522,]  3.789254e-01  3.789254e-01  0.3789253745  0.377790236
#>  [1523,]  5.130963e-01  5.130963e-01  0.2629605137  0.513096347
#>  [1524,]  2.779395e-01  6.380747e-01  0.6380747208  0.638074721
#>  [1525,]  1.094485e-01  5.137942e-01  0.5137942219  1.023066047
#>  [1526,]  4.141974e-01  4.141974e-01  0.2709835968  0.716010133
#>  [1527,] -2.811595e-01  5.378692e-01  0.2768639629  0.694516740
#>  [1528,]  2.300241e-01  8.419416e-01  0.2659986921  0.230024082
#>  [1529,] -1.748970e-01  4.779889e-01  0.4009706505  0.400970650
#>  [1530,]  2.369882e-01  5.211227e-01  0.5211226528  0.651702027
#>  [1531,]  1.066694e-01  9.383350e-01  1.1161859785  0.580974553
#>  [1532,] -1.204584e-01  5.507365e-01  0.3336572874  1.289791281
#>  [1533,]  1.295599e-01  3.714160e-01  0.9230329166  0.985903210
#>  [1534,] -1.140732e+00  3.643351e-01  0.7335927011  1.099629849
#>  [1535,]  3.922470e-01  7.284990e-01  0.3922470413  0.658491025
#>  [1536,]  3.280718e-01  5.788293e-01  0.7212284491  0.328071829
#>  [1537,]  5.013560e-01  7.256599e-01  0.6241515736  0.961925600
#>  [1538,]  5.140483e-01  3.958819e-01  0.5621400367  1.064417038
#>  [1539,]  7.022555e-02  5.172105e-01  0.6306722543  0.517210501
#>  [1540,]  2.012142e-01  4.424024e-01  0.5359753373  0.860510450
#>  [1541,]  3.400706e-01  4.525797e-01  0.5984912643  0.452579746
#>  [1542,] -1.411599e-01  4.105729e-01  0.6877281773  1.031451701
#>  [1543,]  7.748502e-01  3.414389e-01  0.6900169117  0.568304004
#>  [1544,]  5.477929e-01  4.966606e-01  0.2982539424  0.953084240
#>  [1545,] -3.606289e-01  4.477457e-01  0.4188514436  0.759412176
#>  [1546,] -3.073735e-02  6.044178e-01  0.6078517890  0.800026788
#>  [1547,]  7.080275e-02  4.697946e-01  0.3741439869  0.794325234
#>  [1548,]  9.049979e-02  6.174035e-01  1.2742067520  0.496159875
#>  [1549,] -6.497100e-02  7.518111e-01  0.7518111112  0.518924661
#>  [1550,]  5.969866e-03  6.659673e-01  0.8244022039  0.665967350
#>  [1551,] -2.668956e-01  8.934119e-01  0.5324573965  0.666253084
#>  [1552,]  3.337945e-01  5.687515e-01  0.5687515129  0.333794534
#>  [1553,]  4.202270e-02  2.758002e-01  0.6174833883  1.055401029
#>  [1554,]  2.625167e-02  2.172645e-01  0.4302498233  0.430249823
#>  [1555,]  3.816933e-01  3.816933e-01  0.3816932576  0.381693258
#>  [1556,]  3.465340e-01  3.465340e-01  0.3465340356  0.346534036
#>  [1557,]  4.330088e-01  4.330088e-01  0.4254326355  0.433008804
#>  [1558,]  5.042322e-01  5.042322e-01  0.6048842303  0.504232187
#>  [1559,]  1.296836e-01  6.623552e-01  0.6623551987  0.662355199
#>  [1560,]  2.122899e-01  5.605524e-01  0.3253572547  0.325357255
#>  [1561,]  5.543378e-01  6.520394e-01  0.0491689793  0.554337838
#>  [1562,] -3.339208e-02  4.841385e-01  0.4841385192  0.484138519
#>  [1563,]  1.951806e-01  1.951806e-01  0.1951805539  0.638619864
#>  [1564,]  2.966033e-01  7.413989e-01  0.5342437429  0.808654529
#>  [1565,]  4.152865e-01  6.615168e-01  0.5674490551  0.979926114
#>  [1566,] -5.132616e-02  5.680294e-01  0.5528187780  0.568029385
#>  [1567,]  5.332248e-01  5.332248e-01  0.5332247690  0.533224769
#>  [1568,]  4.672869e-01  4.672869e-01  0.6054713548  0.605471355
#>  [1569,]  1.487072e-01  4.073459e-01  0.7552780337  0.755278034
#>  [1570,]  2.835001e-01  2.164668e-01  0.2835001346  1.413747233
#>  [1571,]  5.139710e-01  5.139710e-01  0.5139710370  0.513971037
#>  [1572,]  4.753894e-01  6.525544e-01  0.4753893872  0.475389387
#>  [1573,]  1.394435e-01  2.542699e-01  0.3983830501  0.726073899
#>  [1574,]  6.486802e-02  6.579463e-01  0.4463219981  0.586472950
#>  [1575,]  4.792207e-01  2.933371e-01  0.4792206794  0.550604875
#>  [1576,]  2.809781e-01  5.732387e-01  0.5732386875  0.633338519
#>  [1577,] -7.599984e-02  9.211325e-01  0.5460791905  0.546079190
#>  [1578,]  1.990675e-02  4.952751e-01  0.6182557102  0.954192376
#>  [1579,] -2.192012e-01  5.483288e-01  0.9506047967  0.908573106
#>  [1580,]  7.347786e-02  4.416736e-01  0.4416736460  0.983039778
#>  [1581,]  6.665463e-01  6.665463e-01  0.0680482720  0.764969153
#>  [1582,]  2.971733e-01  7.064766e-01  1.1326209479  0.982283816
#>  [1583,]  5.536812e-01  4.658809e-01  0.5466264292  0.934130917
#>  [1584,]  2.765819e-01  5.894086e-01  0.8431282626  0.915125146
#>  [1585,] -3.055778e-02  4.625650e-01  0.7592005809  0.759200581
#>  [1586,]  2.778130e-02  8.018082e-01  0.9261367025  0.801808170
#>  [1587,]  1.185913e-01  8.248800e-01  0.7201920678  0.720192068
#>  [1588,]  4.049781e-01  8.094992e-01  0.2923534695  0.809499184
#>  [1589,] -4.167546e-01  9.611739e-02 -0.0334337877  1.069885033
#>  [1590,] -2.360558e-01  4.678103e-01  0.4678103023  0.845864626
#>  [1591,]  4.116690e-01  4.116690e-01  0.4116690384  1.038402168
#>  [1592,]  3.530328e-01  3.530328e-01  0.3530328246  1.184457106
#>  [1593,]  5.225367e-01  5.225367e-01  0.5225367298  0.522536730
#>  [1594,]  6.310424e-01  6.310424e-01  0.6310423551  0.631042355
#>  [1595,]  4.879038e-01  4.879038e-01  0.4879037572  0.487903757
#>  [1596,]  4.041425e-01  4.041425e-01  0.4041425365  0.404142537
#>  [1597,]  3.994462e-01  3.994462e-01  0.3994462078  0.709531990
#>  [1598,]  4.765687e-01  7.554198e-01  0.4765686971  0.903837050
#>  [1599,]  4.506601e-01  4.506601e-01  0.7457928610  0.450660055
#>  [1600,]  1.472428e-01  4.630797e-01  0.9112747021  0.463079680
#>  [1601,]  3.542104e-01  5.683127e-01  0.2940554246  0.804326810
#>  [1602,]  4.073681e-01  3.535359e-01  0.4073681405  0.769594189
#>  [1603,]  2.878648e-01  2.878648e-01  0.7613554427  0.761355443
#>  [1604,]  4.689742e-01  4.202562e-01  0.6161534283  0.468974248
#>  [1605,]  5.509369e-01  5.509369e-01  0.4406908762  0.502713115
#>  [1606,]  8.406739e-01  8.406739e-01  0.8406739290  0.840673929
#>  [1607,]  8.384381e-02  6.228809e-01  0.6228808826  0.622880883
#>  [1608,]  3.604223e-01  3.604223e-01  0.3604223378  0.360422338
#>  [1609,]  5.117675e-01  5.117675e-01  0.5117674513  0.511767451
#>  [1610,]  7.010455e-01  9.271245e-01  0.7010454777  0.927124517
#>  [1611,]  2.236836e-01  2.236836e-01  0.6729812510  0.672981251
#>  [1612,]  2.667702e-01  5.892420e-01  0.2667701819  0.929051895
#>  [1613,]  2.112754e-01  6.130265e-01  0.8733220993  0.885887988
#>  [1614,]  3.758243e-01  5.374277e-01  0.3758242621  0.956050297
#>  [1615,]  2.934341e-01  6.842423e-01  0.2934340985  0.719489295
#>  [1616,]  5.340062e-01  4.120892e-01  0.5340061871  0.847397952
#>  [1617,]  5.923454e-01  5.923454e-01  0.5923454067  0.784141262
#>  [1618,]  4.792846e-01  4.792846e-01  0.4772434224  0.955133514
#>  [1619,]  3.328503e-01  8.145743e-01  0.8145742839  0.814574284
#>  [1620,]  3.351732e-01  7.709414e-01  0.3351732109  0.335173211
#>  [1621,]  6.786441e-01  7.492577e-01  0.6786440994  0.678644099
#>  [1622,]  3.216559e-01  8.840822e-01  0.6267714806  0.321655851
#>  [1623,]  2.999049e-01  1.573196e-01  0.2999048674  0.157319577
#>  [1624,]  6.422402e-01  5.977785e-01  0.2922305458  0.292230546
#>  [1625,]  2.431197e-01  5.713532e-01  0.9774623152  0.977462315
#>  [1626,]  4.915731e-01  7.152137e-01  0.1177844705  0.491573055
#>  [1627,]  8.798377e-02  5.526549e-01  0.5669735213  0.566973521
#>  [1628,]  2.331883e-01  5.242011e-01  0.5242011321  0.524201132
#>  [1629,]  4.506477e-01  6.288297e-01  0.6288296595  0.628829659
#>  [1630,]  4.915587e-01  4.915587e-01  0.6390502144  0.639050214
#>  [1631,]  6.383905e-01  6.383905e-01  0.6383904771  0.638390477
#>  [1632,]  1.569357e-01  4.017027e-01  0.4017027455  0.564055505
#>  [1633,]  7.182165e-01  2.642648e-01  0.7182165228  0.718216523
#>  [1634,]  3.048548e-01  3.048548e-01  0.3048547814  0.304854781
#>  [1635,] -8.056120e-02  4.665462e-01  0.4665462224  0.466546222
#>  [1636,]  5.508517e-01  5.508517e-01  0.5508516938  0.550851694
#>  [1637,]  3.312049e-01  3.312049e-01  0.3312048796  0.308822659
#>  [1638,]  4.029746e-01  4.029746e-01  0.5496689133  1.062208275
#>  [1639,]  7.673707e-03  5.881167e-01  0.6404398105  0.640439810
#>  [1640,]  2.238774e-01  4.914206e-01  0.2238773699  0.607876777
#>  [1641,]  5.723150e-01  4.882716e-01  0.5723149669  0.572314967
#>  [1642,]  5.353699e-01  1.056680e+00  0.5353698607  1.056680266
#>  [1643,]  3.645567e-01  3.645567e-01  0.7257599859  0.364556750
#>  [1644,]  8.877614e-03  6.335366e-01  0.8804849184  0.633536598
#>  [1645,]  4.708943e-01  4.708943e-01  0.4708943255  0.470894326
#>  [1646,]  4.641793e-01  4.641793e-01  0.4641792544  0.678906006
#>  [1647,] -1.994553e-01  5.957521e-01  0.9282489008  0.928248901
#>  [1648,]  4.997228e-01  4.997228e-01  0.4997227507  0.499722751
#>  [1649,]  5.808030e-01  5.808030e-01  0.5808030476  0.580803048
#>  [1650,]  6.179673e-01  6.179673e-01  0.6179673207  0.617967321
#>  [1651,]  2.218895e-01  6.076904e-01  0.6076903918  0.607690392
#>  [1652,]  2.481984e-01  7.600641e-01  0.7600640900  0.778191606
#>  [1653,]  1.787786e-02  7.343942e-01  0.2940282659  0.734394244
#>  [1654,]  7.428314e-02  6.024606e-01  0.6639163973  0.663916397
#>  [1655,] -1.171262e-02  5.277401e-01  0.5277400781  0.527740078
#>  [1656,]  1.600638e-01  7.047971e-02  0.3383265396  0.693844695
#>  [1657,]  3.221508e-02  3.221508e-02  0.3946265592  1.049111272
#>  [1658,] -2.926215e-01  3.241177e-01  0.4280912128  1.139837324
#>  [1659,]  3.922863e-01  3.387308e-01  0.7076924572  0.938420161
#>  [1660,]  4.632733e-01  5.427070e-01  0.4864417531  0.463273292
#>  [1661,]  5.377798e-01  4.318781e-01  0.5377797706  0.537779771
#>  [1662,]  2.743240e-01  3.707351e-01  0.3707351445  0.274323986
#>  [1663,]  1.170167e-01  4.132094e-01  0.5518241240  0.227075526
#>  [1664,]  3.529039e-02  5.872976e-01  0.5872975706  0.587297571
#>  [1665,]  7.186499e-02  4.432184e-01  0.6284524505  0.503238986
#>  [1666,]  2.938926e-01  3.640869e-01  0.5449456161  0.617328506
#>  [1667,]  3.401894e-01  4.144166e-01  0.2544440101  0.871830345
#>  [1668,]  3.239208e-01  3.638754e-01  0.6673530470  0.363875365
#>  [1669,] -3.213555e-02  9.275267e-01  0.3041903024  0.927526722
#>  [1670,]  1.731705e-01  4.718966e-01  0.4081966944  1.204267911
#>  [1671,] -6.093311e-02  6.092883e-01  0.8301408797  0.909663574
#>  [1672,]  3.923116e-01  5.869203e-01  0.5869203333  1.326182516
#>  [1673,]  2.973168e-02  5.286141e-01  0.2761207791  0.488104308
#>  [1674,]  9.292180e-02  6.446568e-01  0.3080437606  0.644656783
#>  [1675,]  3.170531e-01  7.637094e-01  0.7579584536  0.757958454
#>  [1676,]  3.459988e-01  7.055507e-01  0.7055507039  0.705550704
#>  [1677,]  9.918802e-02  4.604315e-01  0.4604315350  0.460431535
#>  [1678,] -1.206572e-02  6.840800e-01  0.6840799737  1.005645733
#>  [1679,]  2.485981e-01  7.475292e-01  0.6618729049  0.661872905
#>  [1680,]  5.438160e-01  5.438160e-01  0.5438160487  0.757947312
#>  [1681,]  3.011702e-01  2.544178e-01  0.3987617526  0.803483490
#>  [1682,]  1.672039e-01  2.729267e-01  0.6656678515  0.668481749
#>  [1683,]  3.578316e-02  8.135802e-01  0.4477314534  0.464372699
#>  [1684,] -8.039516e-01  6.591150e-01  0.1011760707  0.677193074
#>  [1685,]  1.570353e-01  9.568092e-01  0.1863643882  0.186364388
#>  [1686,]  1.656758e-01  4.832733e-01  0.1176161576  0.767004257
#>  [1687,]  3.729699e-01  9.097550e-01  0.2557795875  0.752257408
#>  [1688,]  1.851373e-01  6.134869e-01  0.4392089947  0.835724067
#>  [1689,]  2.612305e-03  5.381478e-01  0.5818143162  0.581814316
#>  [1690,] -2.604493e-01  3.495432e-01  0.4875347537  0.349543184
#>  [1691,]  4.922607e-01  4.922607e-01  0.4922606859  0.492260686
#>  [1692,]  5.715142e-01  8.362985e-01  0.8362985408  0.836298541
#>  [1693,]  4.163693e-01  7.646941e-01  0.7646941288  0.764694129
#>  [1694,]  3.007851e-01  5.214226e-01  0.6611531708  0.661153171
#>  [1695,]  3.081698e-01  3.739743e-01  0.8737532268  0.373974305
#>  [1696,]  4.122464e-01  4.122464e-01  0.7655271239  0.765527124
#>  [1697,]  4.140045e-01  5.495414e-01  0.4140045074  0.549541375
#>  [1698,]  4.675466e-01  5.601373e-01  0.6685600976  0.668560098
#>  [1699,]  4.789261e-01  4.789261e-01  0.4789261437  0.478926144
#>  [1700,]  4.458728e-01  4.458728e-01  0.4458728347  0.445872835
#>  [1701,]  2.881034e-03  3.712349e-01  0.3712348540  0.371234854
#>  [1702,]  2.933157e-01  2.933157e-01  0.2933157128  0.293315713
#>  [1703,]  1.382101e-01  3.907600e-01  0.1382100749  0.138210075
#>  [1704,]  6.382042e-01  6.382042e-01  0.6382041751  0.638204175
#>  [1705,]  4.829056e-01  4.829056e-01  0.4829056464  0.482905646
#>  [1706,]  3.880458e-01  6.270753e-01  0.6270753237  0.853540573
#>  [1707,]  4.889821e-01  4.889821e-01  0.4889821487  0.488982149
#>  [1708,]  3.044829e-01  3.044829e-01  0.3044829143  0.304482914
#>  [1709,]  5.932267e-01  5.932267e-01  0.5932267305  0.593226731
#>  [1710,]  4.325458e-02  5.900414e-01  0.5900413527  0.590041353
#>  [1711,] -2.366018e-02  2.989576e-01  0.2989575690  0.804334305
#>  [1712,]  1.846422e-01  5.264522e-01  0.6517946219  0.463892183
#>  [1713,]  3.025340e-01  8.397543e-01  0.3053902348  0.425317805
#>  [1714,]  2.648868e-01  5.216181e-01  0.7322669250  0.521618071
#>  [1715,]  3.120344e-01  8.229837e-01  0.5809501768  0.868995152
#>  [1716,]  3.883800e-01  7.904223e-01  0.4871514512  0.982358725
#>  [1717,]  3.347697e-01  6.195681e-01  0.6195681371  0.619568137
#>  [1718,]  3.736920e-01  6.054561e-01  0.7719399940  0.771939994
#>  [1719,]  1.356891e-01  6.276293e-01  0.6276293126  0.634447444
#>  [1720,]  1.313285e-01  9.077161e-01  0.5273757230  0.527375723
#>  [1721,]  4.581133e-01  4.581133e-01  0.4581132953  0.598100554
#>  [1722,] -7.823102e-02  7.059959e-01  0.9790272062  1.125192419
#>  [1723,]  2.218766e-02  4.715771e-01  0.4678342615  1.135980589
#>  [1724,] -3.923165e-02  7.108217e-01  0.4421764413  1.398300525
#>  [1725,] -2.972510e-01  2.308804e-01  0.8166026811  0.230880388
#>  [1726,] -1.357877e-01  4.143831e-01  0.4143831157  0.620203452
#>  [1727,] -4.871387e-01  4.134037e-01  0.4134037007  0.460037160
#>  [1728,]  8.011259e-01  2.072961e-01  1.0451047581  0.801125860
#>  [1729,]  6.091199e-01  6.091199e-01  0.1412735412  0.609119859
#>  [1730,] -1.985626e-01  1.845779e-01  0.7065345967  0.810915859
#>  [1731,]  3.565373e-01  8.098720e-01  0.3565372863  0.356537286
#>  [1732,]  2.344648e-01  6.535472e-01  0.5426151720  0.690338722
#>  [1733,] -9.967144e-02  8.645269e-01  0.8645269084  0.864526908
#>  [1734,]  3.767928e-01  3.767928e-01  0.3767928198  1.247571687
#>  [1735,]  3.456373e-01  3.456373e-01  0.3456372896  0.345637290
#>  [1736,]  3.409953e-01  6.136557e-01  0.1942285894  0.613655732
#>  [1737,]  4.503175e-01  4.503175e-01  0.4503174877  0.450317488
#>  [1738,]  3.125882e-01  3.125882e-01  0.3125881809  0.312588181
#>  [1739,]  2.991557e-01  6.312474e-01  0.2024855129  1.016373526
#>  [1740,]  4.121824e-01  4.121824e-01  0.4121823523  0.488648244
#>  [1741,]  4.557662e-01  5.567574e-01  0.4557661712  0.455766171
#>  [1742,]  4.184210e-01  4.184210e-01  0.4184210410  0.418421041
#>  [1743,]  4.794424e-01  4.794424e-01  0.4794423537  0.479442354
#>  [1744,] -8.419094e-03  6.865669e-01  0.6865668674  0.686566867
#>  [1745,]  9.446648e-02  3.675942e-01  0.6034288516  0.549365859
#>  [1746,]  4.967849e-01  1.449791e-01  0.6643831471  0.664383147
#>  [1747,]  4.913831e-01  4.913831e-01  0.4913830573  0.491383057
#>  [1748,]  5.698552e-01  6.522197e-01  0.5698551822  0.569855182
#>  [1749,]  5.027699e-01  5.027699e-01  0.5027699468  0.704130935
#>  [1750,]  3.518110e-01  4.075205e-01  0.4075205209  0.907561539
#>  [1751,]  4.517498e-01  4.517498e-01  0.4517498473  0.451749847
#>  [1752,]  4.141954e-01  4.141954e-01  0.4141953515  0.414195352
#>  [1753,]  4.648331e-01  5.171260e-01  0.4648331341  0.517125985
#>  [1754,]  3.022959e-01  3.022959e-01  0.5648601999  0.302295947
#>  [1755,]  1.240537e-01  6.542148e-01  0.6542148166  0.654214817
#>  [1756,] -3.647527e-01  3.902407e-01  0.3902407424  0.390240742
#>  [1757,]  3.619453e-01  3.619453e-01  0.3634791099  0.627409287
#>  [1758,]  5.951025e-01  8.959418e-01  0.6237115219  0.595102512
#>  [1759,]  3.677194e-01  3.677194e-01  0.4472112266  0.599133363
#>  [1760,]  5.018286e-01  6.725343e-01  0.5018285758  0.501828576
#>  [1761,]  2.908775e-01  5.671057e-01  0.2908775427  0.290877543
#>  [1762,]  3.274857e-01  8.780747e-01  0.3274856699  0.878074671
#>  [1763,]  2.154449e-01  3.774930e-01  0.3774930150  1.233157751
#>  [1764,]  2.359467e-01  2.359467e-01  0.2359466852  0.869956160
#>  [1765,]  2.757840e-01  6.565115e-01  0.2757840215  0.656511456
#>  [1766,]  4.395496e-01  4.395496e-01  0.2875351533  0.439549589
#>  [1767,]  2.283773e-01  4.721945e-01  0.6922940516  0.441974660
#>  [1768,]  6.404627e-01  9.039033e-01  0.6404626950  0.787452928
#>  [1769,]  5.582237e-01  5.582237e-01  0.5582237201  0.558223720
#>  [1770,]  3.446609e-01  3.446609e-01  0.3446609216  0.344660922
#>  [1771,]  4.916605e-01  4.916605e-01  0.4916604607  0.491660461
#>  [1772,]  4.378779e-01  4.378779e-01  0.4378778711  0.437877871
#>  [1773,]  7.383794e-01  7.383794e-01  0.7383794242  0.738379424
#>  [1774,]  3.376107e-01  9.545413e-01  0.8110632357  0.954541315
#>  [1775,] -1.313672e-01 -1.132105e-01  0.6449839890  1.042271497
#>  [1776,] -5.737252e-01  6.295465e-01  0.4278959788  0.872119715
#>  [1777,]  6.791129e-01  6.791129e-01  0.4980689159  0.679112915
#>  [1778,]  4.652335e-01  4.652335e-01  0.5702650062  0.465233469
#>  [1779,]  6.353503e-01  6.254406e-01  0.6254405668  0.574866950
#>  [1780,]  3.425583e-01  3.425583e-01 -0.0353551810  0.933827481
#>  [1781,]  3.283345e-01  3.283345e-01  0.5988401620  0.598840162
#>  [1782,]  7.445235e-01  7.445235e-01  0.7445234701  0.744523470
#>  [1783,]  2.693789e-01  4.551241e-01  0.4551240892  0.269378888
#>  [1784,]  4.191785e-01  4.191785e-01  0.4191785254  0.419178525
#>  [1785,]  1.381882e-01  7.656464e-01  0.7656464168  0.765646417
#>  [1786,]  2.981831e-01  2.981831e-01  0.2981831253  0.983167321
#>  [1787,] -6.517316e-02  3.936170e-01  0.8551487077  0.855148708
#>  [1788,]  3.731053e-02  8.109703e-01  0.8109703361  0.810970336
#>  [1789,]  4.888573e-01  4.888573e-01  0.6941345466  0.488857295
#>  [1790,]  4.262112e-01  4.262112e-01  0.4262111849  0.606874012
#>  [1791,]  5.072231e-01  5.072231e-01  0.5072230785  0.507223079
#>  [1792,]  4.571564e-01  3.268867e-01  0.3268867142  0.838168327
#>  [1793,] -1.456341e-01  4.975445e-01  0.4975445272  0.881951305
#>  [1794,] -6.347297e-02 -6.347297e-02  0.4866047120  0.486604712
#>  [1795,]  4.651562e-01  4.651562e-01  0.4651561505  0.465156151
#>  [1796,]  6.477125e-01  6.477125e-01  0.6477124622  0.313624536
#>  [1797,]  7.457151e-02  6.517450e-01  0.0745715109  0.651745024
#>  [1798,]  6.453025e-01  6.453025e-01  0.6453025183  0.414964770
#>  [1799,]  8.365900e-02  4.356569e-01  0.2263156675  0.435656859
#>  [1800,]  2.677833e-01  5.285328e-01  0.2471604692  0.549416939
#>  [1801,]  4.100616e-01  4.100616e-01  0.9358323665  0.935832366
#>  [1802,]  6.320920e-01  7.486528e-01  0.6320920047  0.748652783
#>  [1803,]  3.877707e-01  3.877707e-01  0.3877706944  0.819988172
#>  [1804,] -2.169857e-01  5.316585e-01 -0.2169856967  0.969261427
#>  [1805,]  6.167884e-01  6.021736e-01  0.6167884338  0.616788434
#>  [1806,]  2.537230e-01  7.948271e-01  0.2268351486  0.469766302
#>  [1807,]  1.566782e-01  5.438769e-01  0.1418827877  0.516908655
#>  [1808,]  2.923623e-01  9.078707e-01  0.4486780157  0.542117075
#>  [1809,]  1.858173e-01  4.519229e-01  0.3895685717  0.185817313
#>  [1810,] -9.125093e-02  7.844608e-01  0.6244480753  0.316513002
#>  [1811,]  2.775675e-01  3.421926e-01  0.3994665710  0.277567492
#>  [1812,]  4.995091e-01  2.891415e-01  0.9332482962  0.499509132
#>  [1813,]  1.684941e-01  1.684941e-01  0.1684941408  0.338011647
#>  [1814,]  2.322721e-01  2.964358e-01  0.7407004598  0.613521372
#>  [1815,]  4.202505e-01  7.716336e-01  0.5770457782  0.828536141
#>  [1816,]  6.125728e-01  5.732020e-01  0.4412220327  1.033456843
#>  [1817,]  3.194708e-01  6.222015e-01 -0.1414759942  1.165596308
#>  [1818,]  2.969800e-01  9.195915e-01  0.9195915301  0.296979998
#>  [1819,]  2.156125e-01  2.156125e-01  0.6836276790  0.683627679
#>  [1820,]  2.143552e-01  7.044301e-01  0.7044300796  0.704430080
#>  [1821,]  1.414849e-01  1.414849e-01  0.4110302075  0.411030208
#>  [1822,]  4.718087e-01  4.718087e-01  0.4718086663  0.887342833
#>  [1823,]  1.728464e-01  4.935066e-01  0.4935066081  0.963005123
#>  [1824,]  2.711159e-01  2.711159e-01  0.7290530350  1.137708001
#>  [1825,] -3.931446e-02  6.887115e-01  0.9500733098  1.271123133
#>  [1826,]  4.368336e-01  4.442767e-01  0.9860664180  1.312117410
#>  [1827,]  4.960869e-01  4.960869e-01  0.4960869067  0.496086907
#>  [1828,]  4.174672e-01  1.974807e-01  0.1974807139  0.417467239
#>  [1829,]  3.413140e-01  3.413140e-01  0.1069772279  0.341314049
#>  [1830,]  2.529778e-01 -1.678839e-01  0.2529777700  0.693596831
#>  [1831,] -7.755457e-02  4.968561e-01  0.4968561360  0.496856136
#>  [1832,]  6.063156e-01  6.063156e-01  0.6738142247  1.097358570
#>  [1833,]  4.117256e-01  6.396333e-01  0.2838137235  1.190828466
#>  [1834,]  2.923593e-01  5.259870e-01  0.2605540902  0.910379962
#>  [1835,]  9.360607e-03  5.235661e-01  0.3995618948  0.943899100
#>  [1836,] -2.995659e-02  6.076585e-01  0.6076584935  0.607658493
#>  [1837,] -2.466276e-01  3.339997e-01  0.3907869975  0.333999725
#>  [1838,]  3.395341e-01  3.395341e-01  0.3395341411  0.339534141
#>  [1839,]  5.268541e-02  5.624335e-01  0.0526854053  0.562433490
#>  [1840,]  1.898812e-01  1.898812e-01  0.1898812024  0.551294632
#>  [1841,] -1.091245e-01  6.610111e-01  0.6610111337  0.597156107
#>  [1842,]  3.028913e-01  5.358296e-01  0.4054760859  0.535829593
#>  [1843,]  1.834068e-01  8.879252e-01  0.6157641023  0.887925209
#>  [1844,]  1.417793e-01  6.138801e-01  0.4715836672  0.625450813
#>  [1845,]  1.119225e-01  7.894596e-01  0.4172000488  0.852642123
#>  [1846,]  2.548808e-01  4.186999e-01  0.6385880550  0.526798904
#>  [1847,]  1.227225e-01  4.513713e-01  0.1227225455  0.451371325
#>  [1848,] -1.480697e-01  3.298053e-01  0.1787421826  0.329805265
#>  [1849,]  4.946445e-01  5.544499e-01  0.4946445125  0.494644512
#>  [1850,]  2.917099e-01  8.245875e-01  0.5794905492  0.570603554
#>  [1851,]  4.675336e-01  4.675336e-01  0.4675336396  0.467533640
#>  [1852,]  5.233947e-01  5.233947e-01  0.5233946731  0.523394673
#>  [1853,]  1.123842e-01  5.318579e-01  0.2373084076  0.531857944
#>  [1854,]  8.669304e-01  3.138531e-01  0.0852695599  0.866930420
#>  [1855,]  4.236151e-01  8.450843e-01  0.8450842695  0.845084270
#>  [1856,]  2.050545e-01  6.934867e-01  0.2667503603  0.693486672
#>  [1857,]  9.874436e-02  3.845608e-01  0.3845608498  1.282868492
#>  [1858,]  8.724681e-03  6.473602e-01  0.3641532083  0.579174587
#>  [1859,]  9.830828e-02  6.828649e-01  0.4485704074  0.307953482
#>  [1860,]  5.786390e-01  7.079141e-01  0.5406331301  0.578639008
#>  [1861,]  7.284157e-01  7.284157e-01  0.6491544911  0.728415733
#>  [1862,]  4.984253e-01  6.579622e-01  0.6579622396  0.657962240
#>  [1863,]  3.416661e-01  5.611576e-01  0.7591534437  0.759153444
#>  [1864,]  5.903345e-01  4.063051e-01  0.5903344622  1.058196492
#>  [1865,]  3.012000e-01  5.348148e-01  0.3012000372  1.016033965
#>  [1866,]  5.032954e-01  5.032954e-01  0.5032953779  0.698799044
#>  [1867,]  2.427562e-01  3.480626e-01  0.2427562337  0.348062553
#>  [1868,]  3.774603e-02  7.428798e-01  0.7428797740  0.742879774
#>  [1869,] -1.157591e-02  5.535079e-01  0.5535079484  0.553507948
#>  [1870,]  3.826785e-01  3.826785e-01  0.3826784869  0.382678487
#>  [1871,]  5.520031e-01  9.533263e-02  0.5520031467  0.552003147
#>  [1872,] -3.665260e-01  4.926345e-01  0.4926344697  0.492634470
#>  [1873,]  2.401125e-01  5.798149e-01  0.4506133755  0.579814920
#>  [1874,]  5.769172e-01  5.769172e-01  0.4975309862  0.576917163
#>  [1875,] -4.867533e-02  2.328492e-01  0.4691678951  0.534354193
#>  [1876,]  2.357276e-01  4.717294e-01  0.4886253109  0.842050046
#>  [1877,]  1.654368e-01  5.265288e-01  0.6546564073  0.906529622
#>  [1878,] -5.446292e-02  7.819923e-01  0.5185463003  1.135859465
#>  [1879,]  6.354075e-02  6.154806e-01  0.6798402855  1.047810832
#>  [1880,]  1.848011e-01  2.209518e-02  0.4685295642  1.066291494
#>  [1881,] -1.076095e-01  1.676967e-01  0.4169028399  0.416902840
#>  [1882,]  2.869834e-01  7.260975e-01  0.2869833612  0.726097523
#>  [1883,]  2.958591e-01  6.456668e-01  0.6456667611  0.945162113
#>  [1884,]  3.054611e-01  3.054611e-01  0.3219700847  1.031712325
#>  [1885,]  2.961880e-01  1.558996e-01  0.5837198824  0.583719882
#>  [1886,]  2.442825e-01  3.918828e-01  0.3918827840  0.391882784
#>  [1887,]  6.152437e-01  6.152437e-01  0.7815686947  0.615243728
#>  [1888,]  3.649867e-02  1.073898e+00 -0.1751870704  1.073898344
#>  [1889,] -1.023320e-01 -1.679593e-01  0.3388822866  0.338882287
#>  [1890,] -1.165555e-02  1.017802e-01  0.3648989886  0.364898989
#>  [1891,]  3.746797e-01  3.097438e-01  0.3097437915  0.374679745
#>  [1892,]  2.648232e-01  7.178571e-01  0.7178571474  0.717857147
#>  [1893,]  4.621410e-01  4.621410e-01  0.4621410005  1.259336962
#>  [1894,]  4.827471e-01  4.827471e-01  0.4827470744  0.482747074
#>  [1895,]  1.440230e-01  8.064792e-01  0.4217142457  0.806479231
#>  [1896,]  2.199806e-01  4.586993e-01  0.4586992989  0.419921389
#>  [1897,]  4.043443e-01  1.895585e-01  0.5443502087  0.791736748
#>  [1898,]  4.092457e-01  7.756783e-01  0.4092456714  0.775678338
#>  [1899,]  4.905132e-01  4.905132e-01  0.4905132329  0.490513233
#>  [1900,]  2.046621e-01  2.046621e-01  0.2046620696  0.204662070
#>  [1901,]  5.310515e-01  5.860874e-01  0.5310515226  0.391824764
#>  [1902,]  5.872314e-01  6.496822e-01  0.6496821630  0.587231429
#>  [1903,]  5.578799e-01  5.578799e-01  0.5578798951  0.139201258
#>  [1904,]  8.575374e-01  8.575374e-01  0.8575374175  0.857537417
#>  [1905,]  2.636044e-01  3.680383e-01  0.3680383033  1.060799324
#>  [1906,]  1.410849e-01  1.410849e-01  0.5955443618  0.141084910
#>  [1907,]  1.490771e-01  3.553676e-01  0.3553676363  0.355367636
#>  [1908,]  2.714174e-01  2.714174e-01  0.2714173737  0.271417374
#>  [1909,]  5.555577e-01  5.555577e-01  0.5555577425  0.555557742
#>  [1910,]  5.209014e-01  5.209014e-01  0.5209014099  0.520901410
#>  [1911,]  7.061695e-01  7.061695e-01  0.7061694712  0.706169471
#>  [1912,]  5.836183e-01  7.033589e-01  0.5836182587  0.687318489
#>  [1913,]  4.691877e-01  7.204443e-01  0.6313619923  0.469187688
#>  [1914,]  7.490678e-01  7.490678e-01  0.2035958493  0.749067763
#>  [1915,] -1.764616e-01  4.733493e-01  0.4733492967  0.523121763
#>  [1916,]  1.292584e-01  7.285597e-01  0.3703241202  0.728559719
#>  [1917,]  9.726194e-03  1.658152e-01  0.3834224450  1.157060788
#>  [1918,] -1.901370e-01  3.013515e-01  0.5269755151  1.006211441
#>  [1919,]  2.183995e-02  6.893379e-01  0.0218399496  0.689337949
#>  [1920,]  1.998716e-01  2.684740e-01  0.4286870730  0.268474040
#>  [1921,]  5.061539e-02  8.535270e-01  0.0506153886  0.050615389
#>  [1922,] -5.048382e-02  7.288503e-01  0.1165109050  0.728850323
#>  [1923,] -1.460776e-01  7.497426e-01  0.5937802662  0.430647485
#>  [1924,]  1.551740e-01  3.788957e-01  0.1551740453  0.430708374
#>  [1925,] -5.861559e-02  1.086454e+00  0.6668995902  0.666899590
#>  [1926,]  9.512270e-02  9.972574e-01  0.0951226988  1.069887299
#>  [1927,]  9.052139e-02  9.052139e-02  0.0905213903  1.253926428
#>  [1928,] -3.243356e-01  8.466477e-01  0.4941310252  0.494131025
#>  [1929,] -2.376488e-01  7.504585e-01  0.7504584994  0.750458499
#>  [1930,]  1.047637e-01  4.865845e-01  0.1488873792  0.767282304
#>  [1931,]  1.653280e-01  5.383382e-02  0.0539179471  0.791000757
#>  [1932,]  1.309491e-01  7.707767e-01  0.7707766533  0.892617441
#>  [1933,]  2.976495e-01  1.040349e+00  0.2976494909  0.297649491
#>  [1934,]  2.696762e-01  2.666605e-01  0.3919294750  0.579411683
#>  [1935,] -2.496744e-03  1.540555e-01  0.1540554988  0.154055499
#>  [1936,]  3.007556e-01  3.420625e-01  0.3007555526  0.516810788
#>  [1937,]  2.815566e-01  6.947897e-01  0.2815566303  0.694789686
#>  [1938,]  3.695732e-02  9.933813e-01  0.5227970450  0.712004840
#>  [1939,]  3.608863e-01  7.086446e-01  0.3608863310  0.749678545
#>  [1940,]  5.822515e-02  7.105207e-01 -0.1606383136  0.348065471
#>  [1941,]  5.847485e-01  7.894722e-01  0.7894721978  0.568484876
#>  [1942,] -4.466439e-02  6.956698e-01  0.1795538230  0.695669815
#>  [1943,]  5.454204e-01  1.135497e+00  0.7292795165  1.135497471
#>  [1944,]  7.982224e-01  7.982224e-01  0.7982224040  0.798222404
#>  [1945,]  3.248885e-01  5.702166e-01  0.5702165627  0.570216563
#>  [1946,]  3.563210e-01  3.563210e-01  0.3597604198  0.599901483
#>  [1947,]  1.369294e-02  2.344060e-01  0.4498271958  0.628361018
#>  [1948,]  2.392038e-01 -4.692494e-02  0.0421784446  0.239203825
#>  [1949,]  3.991868e-01  3.244235e-01  0.3244235149  0.959644252
#>  [1950,]  2.903268e-01 -3.457524e-01  0.3572768007  0.803391272
#>  [1951,]  4.836213e-01  4.836213e-01  0.4836212979  0.483621298
#>  [1952,]  4.927626e-01  3.120266e-01  0.4927626030  0.492762603
#>  [1953,] -1.495494e-02 -1.495494e-02 -0.0149549439  1.143998280
#>  [1954,]  1.492254e-01  1.492254e-01  0.1492253712  0.865368772
#>  [1955,] -2.296647e-01  7.114051e-01  0.8682863293  0.711405098
#>  [1956,]  2.557906e-01  1.182822e+00  0.2557906121  1.182822175
#>  [1957,]  7.550722e-01  8.789397e-01  0.2030725809  1.370244317
#>  [1958,]  1.044743e-02  3.707203e-01  0.3388991121  0.970595048
#>  [1959,]  5.858664e-02  8.788919e-01  0.8311760336  0.831176034
#>  [1960,]  2.886212e-01  6.442950e-01  0.6442950095  0.644295009
#>  [1961,] -1.604741e-01  7.536210e-01  0.7536209568  0.753620957
#>  [1962,] -2.383081e-02  5.422695e-01  0.5422695422  0.542269542
#>  [1963,]  1.298305e-01  1.682025e-01  0.3094776716  0.962167350
#>  [1964,]  1.987543e-01  2.783881e-01  0.8863802797  0.822905465
#>  [1965,]  1.634976e-02  8.439098e-01  0.8463608443  0.843909791
#>  [1966,]  4.341084e-01  9.378831e-01  0.7640036104  1.056232925
#>  [1967,]  1.621107e-01  6.098633e-01  0.8118647722  1.171249553
#>  [1968,]  6.791310e-01  7.560792e-01  0.7560792036  0.756079204
#>  [1969,]  5.771490e-01  5.971574e-01  0.5771489875  0.554512930
#>  [1970,]  4.490522e-01  5.575795e-01  0.6516665822  0.651666582
#>  [1971,]  3.485768e-01  3.485768e-01  0.3485767669  0.777491670
#>  [1972,]  2.595628e-01  6.453905e-01  0.9021354048  0.645390491
#>  [1973,]  2.473519e-01  7.572605e-03  0.2972821584  0.770014451
#>  [1974,]  1.389191e-01  2.034645e-01  0.5005157830  0.871719726
#>  [1975,]  4.327326e-01  3.611894e-01  0.4327326217  0.432732622
#>  [1976,]  1.382355e-01  4.337509e-01 -0.1201872124  0.138235485
#>  [1977,]  2.848686e-04  4.782528e-01  0.6902480660  0.355166790
#>  [1978,]  1.932999e-01  7.698073e-01  0.5767375869  0.562035992
#>  [1979,]  3.275678e-01  3.275678e-01  0.6867476539  0.686747654
#>  [1980,]  4.387332e-01  4.940669e-01  0.4940669084  0.724277626
#>  [1981,]  5.585757e-01  5.585757e-01  0.7796886936  0.549695240
#>  [1982,]  2.769385e-01  4.518290e-01  0.6383225759  0.661028198
#>  [1983,]  9.805722e-02  9.805722e-02  0.7330945690  0.541831804
#>  [1984,]  3.976113e-01  3.976113e-01  0.5281202496  0.397611319
#>  [1985,]  5.347257e-01  4.244460e-02  0.5347257400  0.534725740
#>  [1986,]  1.859775e-01  5.055797e-01  0.6177590050  0.505579739
#>  [1987,]  1.260954e-01  5.690363e-01  0.5423417494  0.736968979
#>  [1988,]  2.136378e-01  2.136378e-01  0.3301668597  0.330166860
#>  [1989,] -1.045398e-01  7.383413e-01  0.3362942665  0.738341342
#>  [1990,]  6.385347e-01  6.385347e-01  0.6385346762  0.638534676
#>  [1991,]  1.304359e-01  1.304359e-01  0.2256725865  0.731889762
#>  [1992,] -6.507362e-02 -6.507362e-02  0.5402884255  0.862708314
#>  [1993,]  4.438089e-01  4.438089e-01  0.4272875556  0.729196026
#>  [1994,]  2.885443e-01  6.731755e-01  0.6264001140  0.784254409
#>  [1995,] -1.416974e-02  1.005568e+00  1.0055683598  1.005568360
#>  [1996,] -1.310187e-01  6.971992e-01  0.5264036981  1.058597520
#>  [1997,] -9.745539e-02  8.951200e-01  0.6196266677  0.925302788
#>  [1998,]  8.014349e-02  5.654580e-01 -0.0548774097  1.058976003
#>  [1999,]  1.619001e-01  1.619001e-01  0.6521867972  0.922056868
#>  [2000,]  2.556100e-01  6.718996e-01  0.5896215624  0.589621562
#>  [2001,]  9.840532e-02  6.165297e-01  0.6165296783  0.616529678
#>  [2002,]  1.370630e-02  6.400063e-01  0.2647874559  0.640006303
#>  [2003,]  3.124393e-01  3.895500e-01  0.8021810784  0.904170826
#>  [2004,]  1.966970e-01  1.792338e-01  0.5288786591  0.528878659
#>  [2005,]  2.044600e-01  2.255176e-01  0.4092297912  0.662170540
#>  [2006,]  7.384638e-02  2.910069e-01  0.3866831516  0.849323936
#>  [2007,] -3.300202e-01  7.455223e-01  0.5111103843  0.745522340
#>  [2008,]  1.140398e-01  8.071373e-01  0.1268750211  1.036810560
#>  [2009,]  7.738639e-02  4.969588e-01  0.2873623483  0.507220167
#>  [2010,] -1.931262e-02  2.897587e-01  0.6138308856  0.613830886
#>  [2011,]  3.716897e-01  4.631319e-01  0.6557931895  0.655793190
#>  [2012,]  1.773280e-01  8.929840e-01  0.1773279584  0.419813814
#>  [2013,] -1.901223e-01  1.812719e-01  0.1344541261  0.538892544
#>  [2014,]  4.253643e-01  6.506621e-01  0.3957732980  0.395773298
#>  [2015,]  3.135072e-01  5.236740e-01  0.5236740149  0.313507185
#>  [2016,]  3.845782e-01  7.390161e-01  0.7390161464  0.854504374
#>  [2017,]  3.076488e-01  3.076488e-01  0.9395860412  0.777885287
#>  [2018,]  1.504517e-01  9.642734e-01  0.1504516918  0.657311261
#>  [2019,]  2.735928e-01  2.735928e-01  0.4362052363  0.436205236
#>  [2020,]  5.803587e-01  5.803587e-01  0.5803586979  0.580358698
#>  [2021,]  3.360435e-01  6.062499e-01  0.7096123147  0.709612315
#>  [2022,]  5.515523e-01  7.588671e-01  0.7588671090  0.758867109
#>  [2023,]  7.213637e-01  6.488128e-01  0.7213636656  0.721363666
#>  [2024,]  5.790993e-01  5.790993e-01  0.5790993324  0.579099332
#>  [2025,]  4.360377e-01  4.360377e-01  0.0133699974  0.182482059
#>  [2026,]  1.896023e-01  1.896023e-01  0.1581712589  0.681393287
#>  [2027,] -9.046280e-02  7.607614e-01  0.3560716195  0.760761352
#>  [2028,]  1.988968e-01  1.988968e-01  0.8166592610  0.816659261
#>  [2029,] -2.038469e-01  5.921316e-01  0.5921316265  0.592131627
#>  [2030,]  6.261455e-01  6.500288e-01  0.6500287947  0.650028795
#>  [2031,]  6.443542e-01  5.614788e-01  0.5614788068  0.644354182
#>  [2032,]  4.928541e-01  4.928541e-01  0.8363162519  0.726565513
#>  [2033,]  2.937118e-03  4.751698e-01  0.5970858715  0.597085872
#>  [2034,]  2.166057e-01  2.204747e-01  0.2204747131  0.220474713
#>  [2035,]  1.905856e-01  1.905856e-01  0.7824665231  0.438920193
#>  [2036,] -6.698895e-01  6.530296e-01  0.9844627537  0.984462754
#>  [2037,]  4.410034e-01  8.780061e-02  0.2781642765  0.582860435
#>  [2038,]  4.855137e-01  4.855137e-01  0.2065379786  0.587927595
#>  [2039,]  2.955249e-01  3.684139e-01  0.2916909749  0.368413875
#>  [2040,]  1.790509e-01  5.452528e-01  0.5452527775  0.545252777
#>  [2041,]  2.392719e-01  6.750652e-01  0.6750652070  0.675065207
#>  [2042,]  4.047268e-01  1.453991e-01  0.6258368899  0.625836890
#>  [2043,]  4.224757e-01  4.224757e-01  0.5471233786  0.873686324
#>  [2044,]  8.373560e-01  4.781138e-01  0.0739888164  0.404281035
#>  [2045,]  1.627101e-01  2.341677e-01  0.2341676753  0.330378742
#>  [2046,] -1.982719e-01 -8.328574e-02  0.8170605375  0.447898780
#>  [2047,]  1.177970e-01  1.004627e-01  0.8369673097  0.713696011
#>  [2048,]  5.651539e-01  5.651539e-01  0.3759382466  0.565153885
#>  [2049,]  5.038814e-01  5.038814e-01  0.5038813651  0.812576450
#>  [2050,] -8.094642e-02  6.661818e-01  0.7061175250  0.583757150
#>  [2051,]  2.183873e-01  8.265790e-01  0.6927328360  0.508075570
#>  [2052,]  1.837355e-01  5.974427e-01  0.7885433397  0.788543340
#>  [2053,]  2.338439e-01  5.751947e-01  0.4169502216  0.575194733
#>  [2054,]  4.317061e-01  7.495190e-02  0.6841893754  1.198307045
#>  [2055,]  4.789136e-01  6.516341e-01  0.6798624691  0.679862469
#>  [2056,]  5.351245e-01  5.194750e-01  0.8255753234  0.322062423
#>  [2057,] -2.342148e-01  6.616360e-01  0.2722099803  0.551293376
#>  [2058,]  2.010613e-01  6.103184e-01  0.1470206995  0.610318376
#>  [2059,]  4.826153e-01  2.883627e-01  0.7517120568  0.491835455
#>  [2060,]  5.624184e-01  5.624184e-01  0.8740866058  0.673514988
#>  [2061,]  1.245649e-01  6.184834e-01  0.8649291989  1.216694270
#>  [2062,]  1.283704e-01  5.198845e-01  1.2749850312  0.847528754
#>  [2063,]  3.762491e-01  3.762491e-01  0.3762490864  0.515725336
#>  [2064,]  4.604120e-01  4.604120e-01  0.4103180414  0.460412035
#>  [2065,] -3.044683e-01  3.938078e-01  0.6299579451  0.629957945
#>  [2066,] -3.588512e-02  4.977324e-01  0.7213069320  0.721306932
#>  [2067,]  3.928627e-01  7.424814e-01  0.7424814387  0.742481439
#>  [2068,]  3.994859e-01  6.581763e-01  0.6368391922  0.658176281
#>  [2069,] -1.178656e-01  3.363402e-01  0.1579504421  0.506685484
#>  [2070,]  5.182328e-01  4.652500e-01  0.5741810256  0.955833077
#>  [2071,]  3.925259e-01  6.405181e-01  0.8205551176  0.820555118
#>  [2072,] -4.453347e-02  4.023894e-01  0.4023894389  0.402389439
#>  [2073,]  4.091950e-01  6.520768e-01  0.4091950037  0.652076815
#>  [2074,]  6.094630e-01  6.094630e-01  0.5111222257  0.609463020
#>  [2075,]  3.240860e-01  3.240860e-01  0.7035816943  0.582040434
#>  [2076,]  2.576913e-01  7.739471e-01  0.9122273114  0.912227311
#>  [2077,]  2.261136e-01  6.928034e-01  0.3841652312  0.738300042
#>  [2078,] -5.245694e-02  7.202372e-01  0.4474589869  0.447458987
#>  [2079,] -1.296635e-01  8.025087e-01  0.4518116081  0.813262349
#>  [2080,]  2.089503e-01  5.751579e-01  0.2089503157  0.701864055
#>  [2081,]  1.115867e-01  8.036038e-01  0.6144054279  0.614405428
#>  [2082,]  3.660561e-01  3.660561e-01  0.6904122824  0.690412282
#>  [2083,]  2.660199e-01  2.660199e-01  0.1839773758  0.598698501
#>  [2084,]  1.139907e-01  5.551050e-01  0.9560232878  0.504300578
#>  [2085,]  1.832616e-01  6.600909e-01  0.6600908573  0.183261643
#>  [2086,]  1.727220e-01  1.727220e-01  0.1727219805  0.627512720
#>  [2087,]  1.949733e-01  5.932987e-01  0.5932987118  0.593298712
#>  [2088,]  1.819912e-01  4.135510e-01  0.4135509638  0.413550964
#>  [2089,]  3.242457e-01  8.113529e-01  0.3242457258  0.811352917
#>  [2090,]  1.228496e-01  3.771078e-01  0.3771078067  0.377107807
#>  [2091,] -3.577635e-02  2.200017e-01  0.2652664686  0.220001690
#>  [2092,] -4.940788e-01  7.298884e-01  0.1792003627  0.729888434
#>  [2093,] -2.904130e-01  8.560100e-01  0.8560099967  0.856009997
#>  [2094,]  4.585900e-01  4.585900e-01  0.4585900003  0.458590000
#>  [2095,]  6.196756e-01  6.196756e-01  0.6196756168  0.619675617
#>  [2096,]  5.622095e-01  5.622095e-01  0.5622094597  0.562209460
#>  [2097,]  5.860038e-01  5.860038e-01  0.5860038355  0.586003836
#>  [2098,]  5.857088e-01  5.857088e-01  0.5857088356  0.585708836
#>  [2099,]  5.066478e-01  5.066478e-01  0.5066477842  0.506647784
#>  [2100,]  6.015838e-01  6.015838e-01  0.6015838350  0.333165500
#>  [2101,]  2.711911e-01  6.862425e-01  0.2711910554  0.652227884
#>  [2102,]  4.081521e-01  8.404681e-01  0.3683915778  0.840468087
#>  [2103,]  7.453441e-01  4.846521e-01  0.7594847107  0.609842909
#>  [2104,]  1.739794e-01  7.169327e-01  0.6231274584  1.049844102
#>  [2105,]  2.933597e-01  7.447107e-01  0.4725629043  0.880106200
#>  [2106,]  3.196957e-02  8.322372e-01  0.3779972280  0.730382992
#>  [2107,]  2.150533e-01  2.522876e-01  0.4506415226  0.450641523
#>  [2108,]  6.288045e-01  5.023668e-01  0.6533463225  0.899742481
#>  [2109,]  2.228695e-01  3.421158e-01  0.7868669903  0.620885446
#>  [2110,]  1.728416e-01  5.415213e-01  0.4415621570  0.952715164
#>  [2111,]  3.393587e-02  5.261305e-01  0.4240824025  0.548866779
#>  [2112,]  3.425387e-01  3.735364e-01  0.2124431702  0.641555151
#>  [2113,]  6.187691e-02  3.815657e-01  0.3757077551  0.766862097
#>  [2114,]  2.135736e-01  6.930979e-01  0.5662613375  0.640919027
#>  [2115,]  2.874124e-01  6.347633e-01  0.4261163536  0.634763346
#>  [2116,]  3.128949e-01  4.307530e-01  0.4307530131  0.430753013
#>  [2117,]  3.881416e-01  4.340926e-01  0.4464918002  0.388141621
#>  [2118,]  1.420789e-01  4.191875e-01  0.4191874544  0.256621658
#>  [2119,]  1.707003e-01  4.254234e-01  0.4254234064  1.058547871
#>  [2120,]  5.970730e-01  2.112999e-01  0.5970729783  0.597072978
#>  [2121,]  5.710078e-01  5.710078e-01  0.5710078358  0.571007836
#>  [2122,]  2.559996e-01  9.695157e-01  0.2559995581  0.969515670
#>  [2123,]  4.573980e-01  4.573980e-01  0.4689876862  0.457398041
#>  [2124,]  3.669039e-01  3.669039e-01  0.3669038946  0.366903895
#>  [2125,]  1.617998e-01  1.617998e-01  0.1617998414  0.585918139
#>  [2126,]  4.713774e-01  2.808478e-01  0.4655160085  0.471377432
#>  [2127,]  1.415728e-01  1.415728e-01  0.1415727568  0.141572757
#>  [2128,]  6.296408e-01  6.296408e-01  0.6296407968  0.629640797
#>  [2129,]  5.890357e-01  5.890357e-01  0.5890356865  0.589035687
#>  [2130,]  2.234314e-01  7.049485e-01  0.7049485489  0.704948549
#>  [2131,]  4.942259e-01  3.946580e-01  0.4942259357  0.494225936
#>  [2132,]  2.085874e-01  8.668996e-01  0.3439954873  0.343995487
#>  [2133,]  7.080731e-02  6.087905e-01  0.3479397764  1.023933141
#>  [2134,]  1.911208e-02  2.611059e-01  0.5000698210  0.617799056
#>  [2135,]  1.979548e-01  1.003417e+00  0.9775266648  0.977526665
#>  [2136,]  1.462882e-01  1.030479e+00  0.4050158329  1.030478766
#>  [2137,]  5.827959e-01  5.827959e-01  0.8538195042  0.582795899
#>  [2138,]  4.924508e-01  4.924508e-01  0.4924507645  0.492450764
#>  [2139,]  6.216089e-01  6.216089e-01  0.6216088708  0.621608871
#>  [2140,]  5.212351e-01  5.212351e-01  0.5212350920  0.521235092
#>  [2141,]  1.664940e-01  1.664940e-01  0.1664940193  0.500514094
#>  [2142,] -3.238249e-01  1.063806e+00 -0.3238248676  0.846159757
#>  [2143,] -1.900179e-02  4.129225e-01  0.4129224642  0.412922464
#>  [2144,] -2.633622e-01  6.419215e-01  0.6419215233  0.641921523
#>  [2145,]  3.272052e-01  3.272052e-01  0.3272051569  0.327205157
#>  [2146,]  1.395357e-01  1.395357e-01  0.1395356903  0.977321233
#>  [2147,]  1.183025e-01  2.745101e-01  0.5341187046  0.864840833
#>  [2148,]  6.634721e-01  6.634721e-01  0.8210020507  0.821002051
#>  [2149,]  5.905126e-01  3.320918e-01  0.4982946537  0.590512581
#>  [2150,]  2.338844e-01  5.778145e-01  0.5778145453  0.577814545
#>  [2151,]  1.797883e-01  1.797883e-01  0.7559282192  0.755928219
#>  [2152,]  5.489519e-01  8.628741e-01  0.5489519325  0.548951933
#>  [2153,] -1.880630e-01  6.377055e-01  0.6377054979  0.637705498
#>  [2154,]  5.406783e-01  6.249769e-01  0.6249769418  0.624976942
#>  [2155,]  5.291339e-01  5.291339e-01  0.5291338522  0.529133852
#>  [2156,]  4.866620e-02  6.596104e-01  0.6596103910  0.659610391
#>  [2157,]  3.737014e-01  5.698381e-01  0.5698380771  0.569838077
#>  [2158,]  1.700670e-01  7.403188e-01  0.7403187870  0.740318787
#>  [2159,]  2.612821e-01  2.612821e-01  0.2612820552  0.814443982
#>  [2160,]  4.266626e-01  6.345667e-01  0.7695425016  0.634566662
#>  [2161,] -3.827128e-01 -3.827128e-01  0.2550099407  0.709204256
#>  [2162,]  3.144790e-01  7.564724e-01  0.3144789889  0.756472421
#>  [2163,]  8.760075e-02  3.281449e-01  0.3281448836  0.517383037
#>  [2164,]  4.548521e-01  4.548521e-01  0.6722311645  0.454852150
#>  [2165,]  5.356712e-01  5.356712e-01  0.5356712070  0.535671207
#>  [2166,]  5.995072e-01  5.995072e-01  0.8417486938  0.944847050
#>  [2167,]  4.592731e-01  7.577297e-01 -0.0929096944  0.757729749
#>  [2168,]  2.960955e-02  1.251958e+00  0.5921900493  0.806878455
#>  [2169,] -2.266449e-01  7.893912e-01  0.7893912480  0.789391248
#>  [2170,] -7.917149e-02  5.639696e-01  0.5639696160  0.563969616
#>  [2171,]  6.516676e-01  6.516676e-01  0.6516675789  0.651667579
#>  [2172,]  3.457231e-01  3.457231e-01  0.3457230851  0.345723085
#>  [2173,]  3.478180e-01  3.478180e-01  0.3478179856  0.479345233
#>  [2174,]  2.969529e-01  2.969529e-01  0.2969529287  0.436706390
#>  [2175,]  3.152061e-01  5.114804e-01  0.3152061492  0.511480443
#>  [2176,] -2.417605e-01  4.345077e-01  0.4212298106  0.434507748
#>  [2177,]  7.227632e-02  4.759319e-01  0.5919908794  0.475931898
#>  [2178,] -1.421391e-01  4.451928e-01  0.5319603479  0.531960348
#>  [2179,]  2.246934e-01  4.948957e-01  0.4948957178  0.494895718
#>  [2180,] -1.172125e-01  4.183149e-01  0.4183148988  0.418314899
#>  [2181,]  1.119342e-02  5.618990e-01  0.5618989694  0.908429044
#>  [2182,] -6.604144e-02  2.567869e-01  0.2281013457  0.875797739
#>  [2183,]  2.352568e-01  2.956302e-01  0.5415257036  0.636297885
#>  [2184,] -1.109305e-02  7.311831e-01  0.7311831231  0.673048115
#>  [2185,] -5.465051e-02  6.486894e-01  0.6486893561  0.648689356
#>  [2186,] -3.259912e-01 -1.593903e-01  0.3951922988  0.721056386
#>  [2187,] -1.133160e-01  5.740066e-01  0.6796763950  0.679676395
#>  [2188,]  5.766914e-01  5.650991e-01  0.5650990572  0.576691353
#>  [2189,]  5.121748e-01  5.121748e-01  0.5121747983  0.512174798
#>  [2190,]  5.438123e-01  5.438123e-01  0.5438123317  0.431788629
#>  [2191,]  5.347763e-01  4.609503e-01  0.7598339263  0.759833926
#>  [2192,]  6.417126e-01  6.417126e-01  0.6417125642  0.641712564
#>  [2193,] -1.883514e-02  4.484769e-01  0.4484768610  0.448476861
#>  [2194,] -5.076619e-02  3.699494e-01  0.3699494357  0.578059918
#>  [2195,]  1.720567e-01  4.343744e-01  0.6174040433  0.617404043
#>  [2196,]  2.348527e-01  2.659248e-01  0.2348526753  0.650623403
#>  [2197,]  3.939315e-01 -4.702740e-02  0.1271946442  0.393931496
#>  [2198,]  1.827187e-01  2.735006e-01  0.2735005994  1.596200911
#>  [2199,]  4.341977e-01  1.867437e-01  0.6584295168  0.186743676
#>  [2200,]  4.830491e-01  4.830491e-01  0.9523006608  1.110501458
#>  [2201,]  2.265500e-01  7.077676e-01  0.7392112546  0.739211255
#>  [2202,]  3.352278e-01  6.877668e-01  0.6188158674  0.789379457
#>  [2203,]  1.042429e-01  2.385268e-01  0.1042429377  0.738280483
#>  [2204,]  2.773212e-01  5.897089e-01  0.6894407024  1.008044808
#>  [2205,]  2.965472e-01  4.704413e-01  0.6320295767  0.296547236
#>  [2206,]  1.793820e-01  3.532458e-01  0.8575471565  0.353245848
#>  [2207,]  8.440611e-02  3.560148e-01  0.6999419930  0.699941993
#>  [2208,]  4.127346e-01  4.127346e-01  0.6970630691  0.412734635
#>  [2209,]  5.847210e-01  5.847210e-01  0.5847210390  0.584721039
#>  [2210,]  5.108463e-01  6.347864e-01  0.6347863533  0.634786353
#>  [2211,]  5.750820e-01  5.750820e-01  0.5750820021  0.575082002
#>  [2212,]  8.211932e-01  8.211932e-01  0.8211931756  0.821193176
#>  [2213,] -2.168482e-01  4.363865e-01  0.6248531432  0.905793790
#>  [2214,]  8.746445e-02  5.515380e-01  0.9535754972  0.613069053
#>  [2215,]  3.498844e-01  3.546724e-01  0.4799505496  0.415831405
#>  [2216,]  4.303773e-01  2.330797e-01  0.2318318829  0.430377285
#>  [2217,] -2.108710e-01  4.122988e-01  0.2530452408  0.384191342
#>  [2218,]  2.253983e-01  3.460353e-01  0.2656834170  0.946073748
#>  [2219,]  2.489682e-01  4.389790e-01  0.1919321413  0.591059654
#>  [2220,]  2.967579e-01  4.340798e-01  0.6454692882  0.741819589
#>  [2221,]  4.542779e-03  6.298353e-01  0.8568763423  0.442427461
#>  [2222,] -4.168778e-01  7.939087e-01  0.0376386530  0.653763697
#>  [2223,] -1.176781e-01  6.287884e-01  0.4109490522  0.601524999
#>  [2224,]  4.029757e-01  4.494354e-01  0.4494353987  0.922044766
#>  [2225,] -2.353846e-01  1.088521e+00  0.2098295265  1.043936720
#>  [2226,] -3.042240e-01  2.878391e-01  0.0115366475  1.188439171
#>  [2227,] -1.402661e-01  6.760847e-01  0.7203596871  0.569302824
#>  [2228,]  1.931929e-01  6.566798e-01  1.0456511535  0.717871670
#>  [2229,]  2.086761e-01  4.814536e-01  0.6584641068  0.658464107
#>  [2230,]  4.803188e-01  7.963895e-01  0.4803188131  0.796389472
#>  [2231,]  4.402334e-01  4.402334e-01  0.5827158233  0.639515354
#>  [2232,]  3.572616e-01  6.341209e-01  0.5592162146  0.357261588
#>  [2233,]  2.921911e-01  4.585052e-01  0.5490596119  0.549059612
#>  [2234,]  4.763862e-01  4.763862e-01  0.6788000747  0.635606964
#>  [2235,]  2.941841e-01  4.633244e-01  0.4979968223  0.190942527
#>  [2236,]  3.167852e-01  5.296418e-01  0.5296418093  0.529641809
#>  [2237,]  4.446073e-01  4.446073e-01  0.5445676513  0.544567651
#>  [2238,]  1.751591e-02  6.966642e-01  0.6966642430  0.696664243
#>  [2239,]  1.141116e-01  5.227899e-01  0.5227899169  0.407507793
#>  [2240,]  1.430265e-01  5.112721e-01  0.6921882639  0.511272127
#>  [2241,] -1.986270e-01  5.343975e-01  0.4802513655  0.534397533
#>  [2242,]  4.009512e-01  4.009512e-01  0.4009511820  0.400951182
#>  [2243,]  5.756045e-01  5.756045e-01  0.5756045328  0.575604533
#>  [2244,]  5.036015e-01  5.036015e-01  0.5036015045  0.503601505
#>  [2245,]  5.535456e-01  5.535456e-01  0.5535455629  0.553545563
#>  [2246,]  2.539389e-01  2.539389e-01 -0.1358652927  0.253938866
#>  [2247,]  1.264830e-01  6.859464e-01  0.6859464247  0.685946425
#>  [2248,]  4.773609e-01  4.773609e-01  0.4773608505  0.477360850
#>  [2249,]  4.223444e-01  4.223444e-01  0.4223444348  0.422344435
#>  [2250,]  7.305751e-01  7.305751e-01  0.7305750986  0.730575099
#>  [2251,]  3.710183e-02  5.198435e-01  0.5198435128  0.519843513
#>  [2252,] -2.230048e-01  7.647221e-01  0.7647221122  0.764722112
#>  [2253,] -2.378747e-01  5.462445e-01  0.5462445033  0.546244503
#>  [2254,] -3.845356e-01  4.087555e-01  0.4087554890  0.408755489
#>  [2255,]  3.270220e-01  3.270220e-01  0.8665053501  0.866505350
#>  [2256,]  6.302356e-01  6.302356e-01  0.5365048690  0.852430839
#>  [2257,]  6.758379e-01  6.758379e-01  0.6758378799  0.675837880
#>  [2258,]  5.136854e-01  5.136854e-01  0.5136853924  0.513685392
#>  [2259,]  3.302463e-01  3.302463e-01  0.3302462528  0.330246253
#>  [2260,]  4.595309e-01  4.595309e-01  0.7624055185  0.719688309
#>  [2261,]  2.216561e-01  7.732058e-01  0.2216561380  0.773205767
#>  [2262,]  4.045531e-01  2.086681e-01  0.2086680735  0.208668073
#>  [2263,]  2.778423e-01  4.020866e-01  0.2778422887  0.277842289
#>  [2264,]  1.371712e-01  1.371712e-01  0.5058094784  0.505809478
#>  [2265,]  4.704943e-02  3.522926e-01  0.6480994891  1.109740984
#>  [2266,]  6.047304e-01  4.183769e-01  0.6078619754  1.185691255
#>  [2267,] -4.032165e-01  4.057171e-01  0.5509757925  0.900265945
#>  [2268,] -1.571739e-01  2.702566e-01  0.6266594348  0.626659435
#>  [2269,]  3.313583e-01  4.659353e-01  1.0153466524  0.815044640
#>  [2270,]  7.008661e-01  5.044986e-01  0.7721315570  0.700866148
#>  [2271,]  1.718646e-02  6.141785e-01  0.3572034471  0.384963548
#>  [2272,]  3.651331e-01  2.441566e-01  0.4803503548  0.244156590
#>  [2273,] -1.055925e-01  4.783678e-01  0.2625893645  0.262589364
#>  [2274,]  4.328616e-01  4.328616e-01  0.7063121757  0.706312176
#>  [2275,] -2.977237e-01  6.674891e-01  0.4615289727  0.461528973
#>  [2276,]  2.707938e-01  5.329465e-01  0.2707938187  0.532946463
#>  [2277,] -2.400075e-01  7.838045e-01  0.2638539606  0.783804543
#>  [2278,]  1.347672e-01  8.276917e-01  0.5634680873  0.470810616
#>  [2279,]  1.440803e-01  9.178019e-01  0.5838019132  0.716313631
#>  [2280,]  2.461474e-01  7.543776e-01  0.4114357216  0.754377617
#>  [2281,] -6.364738e-02  4.476871e-01  1.0665966226  1.066596623
#>  [2282,]  6.525970e-02  3.967126e-01  0.5384009870  0.365315626
#>  [2283,] -3.362079e-02  3.933366e-01  0.0627716718  0.795124803
#>  [2284,] -4.123479e-03  4.651761e-01  0.2831294739  0.823419208
#>  [2285,]  4.434675e-01  7.566760e-01  0.7694596447  0.756675968
#>  [2286,]  1.021262e-01  1.021262e-01  0.8050262535  0.864112807
#>  [2287,]  6.458855e-02  7.001714e-01  0.7959980895  0.390536348
#>  [2288,] -5.956301e-02  6.668473e-01  0.4645657351  0.589345123
#>  [2289,] -1.016662e-01  6.721409e-01  0.5751621090  0.575162109
#>  [2290,]  4.305951e-01  5.984854e-01  0.5984853852  0.430595085
#>  [2291,]  4.049728e-01  4.049728e-01  0.4049728028  0.356670874
#>  [2292,]  4.011913e-01  4.011913e-01  0.3284998850  0.401191304
#>  [2293,] -4.843141e-02  4.674781e-01  0.6312750685  0.467478134
#>  [2294,]  6.010828e-01  7.012443e-01  0.7012443434  0.601082828
#>  [2295,] -2.065233e-02  4.099995e-01  0.7195572327  0.719557233
#>  [2296,]  7.256452e-01  4.548008e-01  0.4548008385  0.454800839
#>  [2297,]  4.611740e-01  4.611740e-01  0.4611739876  0.461173988
#>  [2298,] -2.644201e-01  5.925232e-01  0.5925232299  0.592523230
#>  [2299,]  5.096615e-01  3.985237e-01  0.5096615347  0.509661535
#>  [2300,]  2.929680e-01  5.692378e-01  0.7039238260  0.703923826
#>  [2301,]  3.852123e-01  4.115696e-01  0.4287151556  0.428715156
#>  [2302,]  3.924701e-01  4.720508e-01  0.3924700846  0.572172905
#>  [2303,]  3.637359e-01  6.731042e-01  0.7142273340  0.363735886
#>  [2304,]  1.496605e-01  5.824992e-01  0.5824991929  0.582499193
#>  [2305,]  1.851639e-01  3.079155e-01  0.3552515067  0.609942215
#>  [2306,]  1.103937e-01  4.637155e-01  0.1643151693  0.858290711
#>  [2307,]  3.012299e-01  3.878150e-01  0.6922934199  0.692293420
#>  [2308,] -1.205855e-01  7.479642e-01  0.7479642415  0.755248291
#>  [2309,] -2.440175e-01  3.896179e-01  0.7688218239  0.768821824
#>  [2310,] -1.564814e-01  8.214326e-01  0.9718319526  0.821432602
#>  [2311,] -6.545361e-02  1.043831e+00  1.0438312770  1.043831277
#>  [2312,]  8.390672e-02  8.390672e-02  0.5095229661  0.509522966
#>  [2313,]  3.429297e-01  1.263994e+00  0.3235469960  0.342929666
#>  [2314,] -6.716959e-04  5.337483e-01  0.5708093016  1.391822956
#>  [2315,] -3.135919e-02  4.124972e-01  0.6307789349  0.630778935
#>  [2316,]  1.870608e-02  3.496789e-01  0.7795573966  0.349678886
#>  [2317,]  5.258610e-01  5.258610e-01  0.5258610439  0.525861044
#>  [2318,]  6.878350e-01  6.878350e-01  0.6878349873  0.687834987
#>  [2319,]  1.910683e-01  6.202967e-01  0.6202966541  1.222283969
#>  [2320,]  3.199819e-01  4.065902e-01  1.1125531186  0.406590154
#>  [2321,] -2.343620e-01  4.449129e-01  0.4449129383  0.444912938
#>  [2322,] -1.311185e-01  3.406769e-01  0.3406768661  0.364904309
#>  [2323,]  4.722404e-01  4.722404e-01  0.4722404260  0.472240426
#>  [2324,]  3.361525e-01  3.361525e-01  0.3361525486  0.198344283
#>  [2325,]  4.042081e-01  4.042081e-01  0.4042080886  0.404208089
#>  [2326,]  4.954926e-01  4.954926e-01  0.4954926322  0.836467004
#>  [2327,]  5.250412e-01  4.466600e-01  0.5250412221  0.525041222
#>  [2328,]  7.128810e-01  7.128810e-01  0.6317540806  0.631754081
#>  [2329,]  4.479726e-01  4.479726e-01  0.4479726110  0.447972611
#>  [2330,]  2.142702e-01  5.640743e-01  0.7877111061  0.579791961
#>  [2331,]  5.889801e-03  2.113839e-01  0.3637819571  0.936168244
#>  [2332,]  8.737353e-02  6.224061e-01  0.8476368662  0.446355425
#>  [2333,] -1.579492e-01  6.491564e-01  0.6491564201  0.649156420
#>  [2334,]  1.062183e-01  6.675519e-01  0.6675518590  1.088089612
#>  [2335,] -1.574764e-02 -1.574764e-02  0.9882505297  0.790660761
#>  [2336,]  3.483558e-01  1.734359e-01  0.6649450190  0.664945019
#>  [2337,]  2.330795e-01  5.040593e-01  0.8819153251  0.881915325
#>  [2338,] -1.142865e-01  9.031281e-01  0.4867298398  0.903128110
#>  [2339,]  4.723321e-02  5.102291e-01  0.5102291468  0.794888425
#>  [2340,]  3.143584e-01  6.678475e-01  0.6678475494  0.667847549
#>  [2341,]  4.057577e-01  4.057577e-01 -0.0102546473  0.731246028
#>  [2342,]  3.644813e-01  3.644813e-01  0.8821772476  0.882177248
#>  [2343,] -9.810088e-02  6.325375e-01  0.8585007726  0.632537482
#>  [2344,]  4.032880e-01  4.032880e-01  0.7246841927  0.689097998
#>  [2345,]  2.701578e-01  7.291484e-01  0.4023946954  0.729148416
#>  [2346,]  4.548448e-02  5.656942e-01  0.4359268917  0.532526181
#>  [2347,]  2.420930e-01  5.957907e-01  0.3302746369  0.595790749
#>  [2348,] -5.905646e-03  3.620328e-01  0.3620328256  0.362032826
#>  [2349,] -4.104490e-02  4.658761e-01  0.4658761443  0.183055770
#>  [2350,]  2.572311e-01  2.572311e-01  0.2859579718  0.990858562
#>  [2351,]  3.894415e-01  6.772992e-01  0.3894415053  0.722292248
#>  [2352,]  3.656614e-01  6.136031e-01  0.6136030686  0.613603069
#>  [2353,]  3.610468e-01  7.445319e-01  0.7445319283  0.744531928
#>  [2354,]  4.141634e-01  4.141634e-01  0.4141634426  0.626559752
#>  [2355,]  6.003889e-01  6.003889e-01  0.4329325483  0.600388939
#>  [2356,] -6.742152e-02  5.363206e-01  0.5363206376  0.536320638
#>  [2357,]  3.628542e-01  3.628542e-01  0.3628541665  0.590977937
#>  [2358,]  7.643385e-01  7.643385e-01  0.5852354707  0.764338495
#>  [2359,]  2.278987e-01  6.390133e-01  0.7765391137  0.503373368
#>  [2360,]  2.906402e-01  6.906232e-01  0.2906402495  0.896364067
#>  [2361,]  1.153557e-01  1.153557e-01  0.6904592714  0.977947383
#>  [2362,]  5.497249e-01  5.497249e-01  0.1400989596  0.549724883
#>  [2363,]  2.671901e-01  6.894279e-01  0.6894278811  0.689427881
#>  [2364,] -1.665833e-01  3.889411e-01  0.3889410914  0.388941091
#>  [2365,]  4.007550e-01  6.644266e-01  0.6644265831  0.664426583
#>  [2366,] -1.254427e-01  6.093835e-01  0.6093835097  0.609383510
#>  [2367,]  4.303788e-01  4.303788e-01  0.4303788037  0.430378804
#>  [2368,]  4.916180e-01  4.916180e-01  0.4916179884  0.491617988
#>  [2369,]  3.955819e-01  3.955819e-01  0.3955818986  0.395581899
#>  [2370,]  4.023316e-01  1.383093e-01  0.4023316307  0.402331631
#>  [2371,]  1.063625e-01  7.721231e-01  0.7721231131  0.772123113
#>  [2372,]  6.175374e-01 -1.074300e-01  0.6175374241  0.826671825
#>  [2373,]  3.808542e-01  3.808542e-01  0.3808542147  0.380854215
#>  [2374,]  1.174218e-01  4.660649e-01  0.4660648636  0.872769061
#>  [2375,]  6.640823e-01  6.640823e-01  0.0171430040  1.005394747
#>  [2376,] -2.162898e-01  6.474272e-01  0.3639240391  0.943604395
#>  [2377,]  1.990676e-01  5.284407e-01  0.4625501953  0.949760592
#>  [2378,] -8.627086e-02  6.086470e-01  0.8828037507  0.773950017
#>  [2379,]  1.107790e-02  4.651486e-01  0.6780785005  0.711800041
#>  [2380,]  1.492553e-01  5.879733e-01  0.6896681128  0.587973258
#>  [2381,]  3.647976e-01  3.647976e-01  0.7597331312  0.364797579
#>  [2382,]  4.069077e-01  4.069077e-01  0.4069076615  0.406907661
#>  [2383,]  5.480854e-01  5.480854e-01  0.5480853797  0.548085380
#>  [2384,]  5.432988e-01  5.432988e-01  0.5432988410  0.543298841
#>  [2385,]  2.460116e-01  5.401670e-01  0.5092307180  0.236913196
#>  [2386,]  3.542905e-01  3.542905e-01  0.3542905336 -0.197180619
#>  [2387,] -9.065512e-02  3.952091e-01  0.3952090680  0.395209068
#>  [2388,]  4.655997e-01  4.655997e-01  0.4655996953  0.465599695
#>  [2389,]  7.533810e-01  7.533810e-01  0.7533809943  0.753380994
#>  [2390,]  5.345341e-01  7.872441e-01  0.5345341330  0.787244101
#>  [2391,]  7.059472e-01  7.124155e-01  0.6470906533  0.705947217
#>  [2392,]  5.538228e-01  5.538228e-01  0.5538227998  0.553822800
#>  [2393,] -1.212444e-01  5.368897e-01  0.5368896916  0.536889692
#>  [2394,]  4.851872e-01  5.084352e-01  0.5084352228  0.833859006
#>  [2395,]  2.278210e-01  6.188962e-01  0.2278209980  0.618896165
#>  [2396,]  1.750830e-01  3.166255e-01  0.3665564181  0.828697439
#>  [2397,]  2.349774e-01  9.347005e-01  0.2349774191  0.934700543
#>  [2398,]  4.930529e-01  4.930529e-01  0.9060354533  0.493052916
#>  [2399,]  2.105881e-01  7.538440e-01  0.2105880885  0.433493094
#>  [2400,]  4.560412e-01  4.560412e-01  0.7382150319  0.738215032
#>  [2401,]  6.656170e-02  3.659749e-01  0.3659748873  0.365974887
#>  [2402,]  5.155961e-01  5.155961e-01  0.5155960957  0.515596096
#>  [2403,]  4.212600e-01  4.212600e-01  0.4212599550  0.421259955
#>  [2404,]  2.152067e-01  3.807607e-01  0.2152066961  0.380760725
#>  [2405,]  3.197698e-01  4.393428e-01  0.1038197898  0.791418204
#>  [2406,]  5.395471e-01  2.758936e-01  0.5395470984  1.041285050
#>  [2407,]  1.099532e-01  5.203287e-01  0.5203287394  0.109953199
#>  [2408,]  2.158999e-01  2.158999e-01  0.2158999168  0.215899917
#>  [2409,]  4.094695e-01  4.094695e-01  0.4094695029  0.409469503
#>  [2410,]  4.996507e-01  4.996507e-01  0.4996507458  0.499650746
#>  [2411,]  6.211896e-01  6.211896e-01  0.6211895640  0.621189564
#>  [2412,]  4.206851e-01  4.206851e-01  0.4206851240  0.420685124
#>  [2413,]  5.251309e-01  5.251309e-01  0.2308219521  0.810670643
#>  [2414,]  2.357676e-01  2.357676e-01  0.8801034096  0.880103410
#>  [2415,]  5.440446e-01  5.440446e-01  0.5440445994  0.544044599
#>  [2416,]  5.203157e-01  5.203157e-01  0.5203157466  0.520315747
#>  [2417,]  3.380660e-01  3.380660e-01  0.3380659912  0.338065991
#>  [2418,]  5.534426e-01  5.534426e-01  0.5534425575  0.553442558
#>  [2419,]  4.406970e-01  4.406970e-01  0.4406970306  0.440697031
#>  [2420,]  1.090654e-01  5.086798e-01  0.5086798275  0.508679828
#>  [2421,]  4.944767e-01  3.045436e-01  0.4944767159  0.494476716
#>  [2422,]  2.611728e-01  2.611728e-01  0.2611727763  0.261172776
#>  [2423,] -2.772125e-02  5.735256e-01  0.5735256301  0.573525630
#>  [2424,]  3.747044e-01  3.747044e-01  0.3747043845  0.374704384
#>  [2425,]  2.279288e-01  4.249058e-01  0.4249057947  0.424905795
#>  [2426,]  6.348233e-01  6.348233e-01  0.6348232974  0.634823297
#>  [2427,]  5.622833e-01  5.622833e-01  0.5622833399  0.562283340
#>  [2428,]  3.878834e-01  3.878834e-01  0.3878834143  0.387883414
#>  [2429,]  3.059382e-01  4.072485e-01  0.3059382311  0.305938231
#>  [2430,]  4.706064e-01  4.706064e-01  0.4706063710  0.470606371
#>  [2431,]  5.872948e-01  5.872948e-01  0.5872947880  0.705292882
#>  [2432,]  1.494890e-01  4.611792e-01  0.7958765963  0.149488968
#>  [2433,]  1.630031e-01  1.630031e-01  1.0067893705  1.006789371
#>  [2434,]  8.031556e-02  4.479334e-01  0.4479333950  1.022459951
#>  [2435,]  3.675575e-02  6.446598e-01  0.6446597855  0.681601152
#>  [2436,]  3.170025e-01  3.170025e-01  0.2026578344  0.734535077
#>  [2437,]  3.887113e-01  3.887113e-01  0.1447374769  0.825782199
#>  [2438,]  4.281118e-02  9.564652e-02  0.4705506285  0.801936153
#>  [2439,]  1.544673e-01  5.560474e-01 -0.2288331098  0.523494873
#>  [2440,]  3.142944e-01  3.326390e-01  0.3142943797  0.827716566
#>  [2441,]  3.735114e-01  3.735114e-01  0.3735113674  0.803433813
#>  [2442,]  3.451697e-01  3.451697e-01  0.3451697024  0.884555330
#>  [2443,]  4.177162e-01  4.177162e-01  0.4177161667  0.417716167
#>  [2444,]  7.532110e-01  7.976450e-01  0.7976450101  0.753211031
#>  [2445,]  7.623482e-02  6.695323e-01  0.7338362717  0.749116705
#>  [2446,]  5.068723e-01  3.409968e-01  0.5637244553  0.563724455
#>  [2447,]  2.745537e-01  4.997122e-01  0.4997122459  0.499712246
#>  [2448,]  5.806948e-01  5.806948e-01  0.5806947846  0.580694785
#>  [2449,]  2.794622e-01  7.438701e-01  0.2794622393  0.760890110
#>  [2450,]  2.408431e-01  8.097635e-01  0.2408431290  0.809763513
#>  [2451,]  5.167326e-01  5.167326e-01  0.5167325902  0.516732590
#>  [2452,]  6.082512e-01  6.082512e-01  0.6082512122  0.608251212
#>  [2453,]  1.838335e-01  8.833841e-01  0.8833841307  0.883384131
#>  [2454,]  3.155949e-01  8.157959e-01  0.3155949253  0.815795936
#>  [2455,]  2.272014e-02  4.225540e-01  0.4542450065  0.703984529
#>  [2456,] -9.441246e-02  3.410808e-01  0.9244817658  0.701143162
#>  [2457,]  2.793272e-01  1.021625e+00  1.0316142615  0.732617738
#>  [2458,]  3.254315e-01  3.973093e-01  0.6053896812  0.397309269
#>  [2459,]  2.522240e-01  1.211431e-01  0.5432518905  0.965185865
#>  [2460,]  1.225825e-01  6.568343e-01  0.3728276258  0.863671657
#>  [2461,]  4.974502e-01  4.974502e-01  0.4713233050  0.847468226
#>  [2462,]  3.903961e-01  4.219933e-01  0.3903961312  0.421993324
#>  [2463,]  1.881858e-01  4.538887e-01  0.3388379382  0.453888654
#>  [2464,]  2.192413e-04  6.306878e-01  0.5199701063  0.886521788
#>  [2465,]  2.955848e-01  5.648529e-01  0.5648528516  0.558725498
#>  [2466,]  4.415313e-01  2.596099e-01  0.7119482384  0.621833166
#>  [2467,]  1.993491e-02  3.890202e-01  0.3890201586  0.405458191
#>  [2468,]  1.046078e-01  5.406660e-01  0.5406660133  0.540666013
#>  [2469,]  1.038593e-01  5.003343e-01  0.5003342967  0.500334297
#>  [2470,]  4.250530e-01  4.250530e-01  0.4250529607  0.425052961
#>  [2471,]  4.181143e-01  4.181143e-01  0.5496229625  0.549622962
#>  [2472,]  5.449190e-01  5.052612e-01  0.5449189914  0.505261197
#>  [2473,]  6.624382e-01  6.624382e-01  0.6624382161  0.662438216
#>  [2474,]  6.225526e-01  6.225526e-01  0.6225525790  0.622552579
#>  [2475,]  5.026068e-01  5.026068e-01  0.5026067888  0.502606789
#>  [2476,]  4.652662e-01  4.652662e-01  0.4652661820  0.465266182
#>  [2477,]  5.472489e-01  5.472489e-01  0.5472488539  0.547248854
#>  [2478,]  3.920526e-01  3.920526e-01  0.3920526127  0.392052613
#>  [2479,]  2.593360e-01  5.024050e-01  0.2593359500  0.709277639
#>  [2480,]  3.692488e-01  9.243656e-02  0.5855490802  0.927545843
#>  [2481,]  1.387892e-01  6.252022e-01  0.5746980953  0.992541409
#>  [2482,]  2.838865e-01  7.592760e-01  0.5609374039  0.759276003
#>  [2483,]  4.276021e-01  4.276021e-01  0.4276020513  0.427602051
#>  [2484,] -3.556483e-01  3.984056e-01  0.8177318005  0.398405614
#>  [2485,] -4.490235e-05  6.402851e-01  0.6402850952  0.640285095
#>  [2486,] -1.957836e-01  5.059671e-01  0.3930034386  0.505967086
#>  [2487,]  4.003077e-01  4.003077e-01  0.4003076530  0.400307653
#>  [2488,] -3.955653e-01  5.804556e-01  0.3188445703  0.318844570
#>  [2489,]  3.431191e-01  3.052610e-01  0.3431190729  0.343119073
#>  [2490,]  5.748314e-01  5.748314e-01  0.5748314293  0.574831429
#>  [2491,]  6.516848e-01  6.516848e-01  0.6516848015  0.651684801
#>  [2492,] -1.735735e-01  8.693399e-01  0.4341277648  0.673672800
#>  [2493,]  2.036735e-02  6.985453e-01  0.9859621152  0.985962115
#>  [2494,] -4.876647e-02  7.649248e-01  0.7649247621  0.764924762
#>  [2495,] -1.846841e-01  7.159638e-01  0.3523083262  0.676178696
#>  [2496,]  4.442574e-01  1.765465e-01  0.7244799184  0.724479918
#>  [2497,]  7.847252e-01  7.847252e-01  0.7847252190  0.784725219
#>  [2498,]  7.400724e-01  7.400724e-01  0.7400723783  0.740072378
#>  [2499,]  3.029257e-01  3.806118e-01  0.3806118023  0.380611802
#>  [2500,]  4.412790e-01  4.412790e-01  0.3449919873  0.441278963
#>  [2501,]  4.716602e-01  4.716602e-01  0.4716602041  0.471660204
#>  [2502,] -3.297176e-01  5.519622e-01  0.5519622010  0.551962201
#>  [2503,]  6.525254e-01  3.353548e-01  0.3353547665  0.335354767
#>  [2504,]  2.556586e-01  5.305064e-01  0.5305064431  0.530506443
#>  [2505,]  2.635926e-01  6.014528e-01  0.2635925861  0.601452765
#>  [2506,]  5.572201e-01  5.572201e-01  0.5572200518  0.879065454
#>  [2507,] -1.779675e-01  9.894967e-01  0.4245186682  0.989496714
#>  [2508,] -8.431330e-02  2.705853e-01  0.5446596015  0.085694853
#>  [2509,]  9.763684e-02  3.478821e-01  0.8695020243  0.451283502
#>  [2510,] -2.694014e-01  8.106145e-01  0.8106145003  0.810614500
#>  [2511,]  1.038034e-01  1.161761e+00  0.6982438200  0.823179671
#>  [2512,]  1.273656e-01  6.052919e-01  0.5131862786  0.605291854
#>  [2513,]  2.637927e-01  5.400147e-01  0.7185420942  0.732567525
#>  [2514,]  1.813511e-01  5.480392e-01  0.5480392345  0.859850567
#>  [2515,]  3.126460e-01  3.648352e-01  0.4427632304  0.812580924
#>  [2516,]  1.523689e-01  2.518657e-01  0.4109503224  0.772775054
#>  [2517,]  5.555811e-01  4.300334e-01  0.6037261021  0.947657991
#>  [2518,]  1.125529e-01  2.819705e-01  0.5419162738  0.699777740
#>  [2519,] -3.025187e-01  2.811995e-01  0.2811994985  0.194488592
#>  [2520,]  1.314505e-01  1.314505e-01 -0.1141530954  0.131450509
#>  [2521,]  5.523489e-01  3.765730e-01  0.5523489378  0.552348938
#>  [2522,]  2.813428e-01  2.759320e-01  0.2759319534  0.281342818
#>  [2523,]  4.988172e-01  4.988172e-01  0.4988171617  0.498817162
#>  [2524,]  4.985666e-01  4.248614e-01  0.4985665802  0.498566580
#>  [2525,]  4.985781e-01  4.985781e-01 -0.0655287723  0.498578146
#>  [2526,]  5.884202e-01  5.884202e-01  0.4710427717  0.588420184
#>  [2527,]  2.719081e-01  6.967759e-01  0.3945656931  0.696775936
#>  [2528,]  4.925633e-01  4.925633e-01  0.4289078295  0.492563342
#>  [2529,]  4.328718e-01  4.328718e-01  0.4328718423  0.432871842
#>  [2530,]  3.927908e-01  3.927908e-01  0.2917954914  0.392790807
#>  [2531,]  6.649425e-01  6.649425e-01  0.6649424599  0.664942460
#>  [2532,]  8.411180e-01  6.413687e-01  0.6413687132  0.641368713
#>  [2533,]  7.495164e-01  2.952341e-01  0.7495163798  0.749516380
#>  [2534,]  2.158621e-01  6.720495e-01  0.6720494834  0.672049483
#>  [2535,]  3.226779e-01  3.226779e-01  0.3226778539  0.322677854
#>  [2536,]  6.444856e-01  6.444856e-01  0.6444855680  0.644485568
#>  [2537,]  3.401126e-01  3.401126e-01  0.3401126238  0.340112624
#>  [2538,]  6.348313e-01  5.648637e-01  0.6348313132  0.634831313
#>  [2539,]  9.489767e-02  4.900170e-01  0.4900170027  0.490017003
#>  [2540,]  4.722476e-01  4.722476e-01  0.4722476320  0.472247632
#>  [2541,]  2.461341e-01  6.382432e-01  0.2461341013  0.748035631
#>  [2542,]  2.025691e-01  4.470720e-01  0.7445658028  0.744565803
#>  [2543,]  2.695704e-01  2.234083e-01  0.2234082586  0.679063031
#>  [2544,]  1.246427e-01  9.020339e-01  0.0355054599  0.598023629
#>  [2545,]  3.445848e-01  9.892811e-01  0.3445847803  0.885554333
#>  [2546,]  1.601304e-01  4.440844e-01  0.5772504658  0.845478774
#>  [2547,]  2.872285e-01  6.892182e-01  0.2872285104  0.544083564
#>  [2548,]  4.021523e-01  4.021523e-01  0.8903737810  0.713718591
#>  [2549,]  7.378710e-03  9.344974e-01  0.4728408096  0.610695023
#>  [2550,]  2.236477e-01  5.583826e-01  0.6573585861  0.223647663
#>  [2551,]  1.912635e-01  5.795212e-01  0.5795212066  0.191263538
#>  [2552,]  4.234223e-02  6.562633e-01  0.5447088784  0.656263257
#>  [2553,]  2.981943e-01  4.326268e-01  0.4614612560  0.521186452
#>  [2554,]  2.739112e-01  6.745707e-01  0.6745706701  0.674570670
#>  [2555,]  3.014579e-02  6.677771e-01  0.1015647968  0.815362796
#>  [2556,] -5.966725e-01  5.693551e-01  0.5568118549  0.556811855
#>  [2557,]  7.518845e-02 -5.995484e-02  0.2857318928  0.582004996
#>  [2558,]  9.052970e-02  6.074199e-01  0.7321382591  0.743963319
#>  [2559,]  5.386865e-01  5.202843e-01  0.5386864978  0.986627906
#>  [2560,]  3.590437e-01  2.386283e-01  0.7529079323  0.762167328
#>  [2561,]  1.536095e-01  4.450080e-01  0.5745190498  1.061145251
#>  [2562,]  3.102183e-01  3.102183e-01  0.7406060169  0.745239716
#>  [2563,] -2.897304e-02  7.843322e-01  0.5555005364  0.797931842
#>  [2564,] -1.817877e-01  9.120910e-01  0.3537594535  0.912091014
#>  [2565,] -4.388453e-02  4.816947e-01  0.5282520704  1.103224119
#>  [2566,]  2.327139e-01  3.670956e-01  0.6270995731  0.502159117
#>  [2567,]  4.104992e-01  7.383240e-01  0.4104991781  0.410499178
#>  [2568,] -1.285677e-01  4.044060e-01  0.3186715877  0.274963028
#>  [2569,]  2.317867e-01  2.605430e-01  0.2317867416  1.074774282
#>  [2570,]  1.916082e-01  8.916783e-01  0.5176032411  0.191608182
#>  [2571,]  4.278388e-01  2.042125e-01  0.6583409950  0.356774980
#>  [2572,]  6.750374e-01  6.750374e-01  0.6750373586  0.675037359
#>  [2573,]  5.555592e-01  5.555592e-01  0.5555592299  0.555559230
#>  [2574,]  1.043959e-01  5.232961e-01  0.6106285224  1.029794119
#>  [2575,]  1.807285e-01  1.807285e-01  0.6455492340  0.645549234
#>  [2576,]  1.499624e-02  4.697730e-01  0.4697730294  0.469773029
#>  [2577,]  2.523798e-01  6.502105e-01  0.6502104524  0.650210452
#>  [2578,]  3.866151e-01  3.866151e-01  0.8284621607  0.386615085
#>  [2579,]  4.840143e-01  7.416157e-01  0.4840143104  0.484014310
#>  [2580,]  3.925403e-01  6.178965e-01  0.3925403330  1.029666092
#>  [2581,]  3.526149e-01  7.141441e-01  0.5205095531  0.962916824
#>  [2582,]  4.120453e-01  2.320490e-01  0.6633433145  0.663343315
#>  [2583,]  4.500651e-01  4.500651e-01  0.6158747757  0.615874776
#>  [2584,] -1.820114e-02  4.738602e-01  0.7905217786  0.564619417
#>  [2585,]  2.108585e-01  5.189795e-01  0.5189794747  0.993437594
#>  [2586,]  2.588084e-01  2.588084e-01  0.4740717672  0.422173283
#>  [2587,] -2.373836e-01  2.058361e-01  0.6523724054  0.616585539
#>  [2588,]  1.743449e-01  6.724394e-01  0.6821484969  0.834262447
#>  [2589,]  8.179766e-02  5.127998e-01  0.7691844918  0.981165227
#>  [2590,]  3.009884e-01  3.009884e-01  0.7561340830  0.373743851
#>  [2591,] -1.140804e-01  4.759427e-01  0.5866769332  0.586676933
#>  [2592,]  8.752903e-03  8.071259e-01  0.3432457201  0.861051929
#>  [2593,]  4.637712e-01  3.095400e-01  0.4420465283  0.950470543
#>  [2594,]  5.533652e-01  5.533652e-01  0.5533652417  1.154821847
#>  [2595,]  4.234386e-01  4.362426e-01  0.4362426306  1.022953037
#>  [2596,]  3.101011e-01  3.101011e-01  0.3101011245  0.893465382
#>  [2597,]  1.283291e-01  1.283291e-01  0.1283290536  0.873241210
#>  [2598,]  1.005328e-01  5.187225e-01  0.6377479326  0.831991280
#>  [2599,]  1.169524e-01  6.107063e-01  0.4567562434  0.445711875
#>  [2600,]  2.090181e-01  4.492710e-01  0.6613693376  0.945368516
#>  [2601,] -1.291624e-01  7.158337e-01  0.4524828218  1.056371551
#>  [2602,]  2.548975e-01  5.051702e-01  0.2914562393  0.881775427
#>  [2603,]  2.079174e-01  8.405579e-01  0.4066896828  0.952129064
#>  [2604,] -7.870553e-02  7.628327e-01  0.4327435898  0.241265599
#>  [2605,]  1.805215e-01  7.109018e-01  0.7109017843  0.710901784
#>  [2606,] -9.297812e-02  6.679805e-01  0.6679804649  0.667980465
#>  [2607,]  3.926192e-01  3.926192e-01  0.3926192061  0.392619206
#>  [2608,]  4.288917e-01  4.288917e-01  0.4288917261  0.428891726
#>  [2609,]  6.209833e-01  6.209833e-01  0.6209833231  0.620983323
#>  [2610,]  5.376379e-01  5.376379e-01  0.5376379051  0.537637905
#>  [2611,]  3.289966e-01  3.289966e-01  0.3289966068  0.328996607
#>  [2612,]  3.959790e-01  3.959790e-01  0.3017087558  0.703605053
#>  [2613,]  6.976734e-01  8.274492e-01  0.4405603511  0.697673449
#>  [2614,]  2.205616e-01  7.910640e-01  0.2205615700  0.220561570
#>  [2615,]  5.727335e-01  5.727335e-01  0.5727334889  0.572733489
#>  [2616,]  7.812223e-01  7.812223e-01  0.7812223484  0.781222348
#>  [2617,]  5.391185e-01  5.391185e-01  0.5391185346  0.539118535
#>  [2618,] -9.266281e-02  6.185315e-01  0.6185314605  0.618531461
#>  [2619,]  3.128254e-01  3.128254e-01  0.3128254300  0.312825430
#>  [2620,]  2.589955e-01  2.589955e-01  0.2589955480  0.258995548
#>  [2621,]  4.532500e-01  4.532500e-01  0.4532499967  0.453249997
#>  [2622,]  3.444618e-01  3.444618e-01  0.3444618394  0.344461839
#>  [2623,]  3.449563e-01  3.449563e-01  0.3449563397  0.344956340
#>  [2624,]  1.120202e-01  5.984339e-01  0.1120201581  0.598433919
#>  [2625,]  4.754910e-01  4.754910e-01  0.2907735710  0.835740054
#>  [2626,]  5.343873e-01  5.343873e-01  0.5806984382  0.534387344
#>  [2627,]  4.343262e-01  3.574368e-01  0.3574368276  0.434326158
#>  [2628,]  4.627612e-01  3.637665e-01  0.3637664863  0.462761169
#>  [2629,]  2.755489e-01  5.373174e-01  0.2367665618  0.537317426
#>  [2630,]  3.074012e-01  9.995690e-01  0.9797472424  0.612758797
#>  [2631,]  5.338486e-01  4.722186e-01  0.7185301508  0.718530151
#>  [2632,]  4.740474e-01  4.740474e-01  0.4740474286  0.474047429
#>  [2633,]  5.342375e-01  5.342375e-01  0.5342374961  0.534237496
#>  [2634,]  7.413755e-01  7.413755e-01  0.7413755352  0.741375535
#>  [2635,]  4.782426e-01  4.782426e-01  0.4782426342  0.478242634
#>  [2636,]  2.606335e-01  4.257478e-01  0.6839930523  0.425747813
#>  [2637,]  2.973584e-01  5.220523e-01  0.5220523107  0.522052311
#>  [2638,]  1.909477e-01  1.909477e-01  0.1909477404  0.190947740
#>  [2639,]  4.626677e-01  4.626677e-01  0.4626676825  0.586285804
#>  [2640,]  6.301661e-01  4.937164e-01  0.6301660974  0.630166097
#>  [2641,]  5.624727e-01  5.624727e-01  0.5624726533  0.581888793
#>  [2642,]  3.124838e-01  3.124838e-01  0.7633032404  0.763303240
#>  [2643,]  4.029966e-01  4.029966e-01  0.5953896987  0.978824999
#>  [2644,]  5.867411e-02  3.049086e-01  0.7307912774  0.945138895
#>  [2645,]  1.506479e-01  2.782938e-01  0.2782938427  0.671544589
#>  [2646,]  4.499221e-01  2.997098e-01  0.5447796753  0.449922105
#>  [2647,]  2.806815e-01  8.383294e-01  0.1618385868  0.280681470
#>  [2648,]  4.536928e-01  4.536928e-01  0.4536927792  0.940342091
#>  [2649,]  2.537168e-01  2.537168e-01  0.5863703005  0.933268969
#>  [2650,]  4.965227e-01  5.155697e-01  0.6154044998  1.096738345
#>  [2651,]  3.404440e-01  8.507256e-01  0.3927560557  0.651809275
#>  [2652,]  1.821158e-01  6.483773e-01  0.7896186035  0.850929487
#>  [2653,]  3.518921e-01  4.239037e-01  0.5705294007  0.885506467
#>  [2654,]  1.935404e-01  1.935404e-01  0.2797533013  0.533157015
#>  [2655,]  2.159008e-01  3.651203e-01  0.2478856431  0.378489962
#>  [2656,]  7.339738e-02  3.860184e-01  0.7269752808  0.476092960
#>  [2657,]  4.456271e-01  7.293658e-01  0.4456271456  0.445627146
#>  [2658,]  1.744232e-02  5.763161e-01  0.3973217606  0.576316149
#>  [2659,]  5.167065e-01  5.167065e-01  0.5167065039  0.516706504
#>  [2660,]  2.803538e-02  6.839129e-01  0.6839128693  0.683912869
#>  [2661,] -1.174265e-01  3.426571e-01  0.3426570787  0.342657079
#>  [2662,]  2.496082e-01  2.496082e-01  0.2496082251  0.634371175
#>  [2663,]  4.394815e-01  6.513919e-01  0.6513919339  0.651391934
#>  [2664,]  4.249120e-01  1.671031e-01  0.4249120360  0.424912036
#>  [2665,]  2.018914e-01  2.018914e-01  0.3114446499 -0.032712106
#>  [2666,]  3.230776e-01  3.413558e-01  0.5497864486  0.549786449
#>  [2667,]  2.507322e-01  5.556528e-01  0.4553525281  1.119709250
#>  [2668,]  3.322032e-01  3.322032e-01  0.3212477675  0.970206316
#>  [2669,]  5.446247e-02  4.139538e-01  0.3024677108  0.905838402
#>  [2670,]  4.415195e-01  4.415195e-01  0.7337441464  0.441519470
#>  [2671,]  3.450221e-01  3.450221e-01  0.4100349770  0.285763611
#>  [2672,]  1.118126e-01  5.630111e-01  0.5630110588  0.563011059
#>  [2673,]  1.039448e-02  5.306187e-01  0.1663807011  0.530618747
#>  [2674,]  6.023992e-01  6.023992e-01  0.4557051383  0.602399245
#>  [2675,]  4.437962e-01  6.231237e-01  0.6231237381  0.623123738
#>  [2676,]  3.824115e-01  3.824115e-01  0.3824115209  0.382411521
#>  [2677,]  5.036043e-01  5.036043e-01  0.9460437863  0.946043786
#>  [2678,]  4.521916e-01  2.185411e-01  0.6836446906  0.452191567
#>  [2679,]  1.375178e-01  7.177495e-01  0.1375178344  0.717749511
#>  [2680,]  4.811953e-01  4.811953e-01  0.8732734640  0.481195309
#>  [2681,]  4.384999e-01  6.912369e-01  0.6912369218  0.691236922
#>  [2682,]  5.630214e-01  7.982123e-01  0.5630213608  0.798212296
#>  [2683,]  1.353141e-01  3.905853e-01  0.3113156593  0.311315659
#>  [2684,]  4.570724e-01  7.599308e-02  0.4570724133  0.537277000
#>  [2685,]  3.681702e-03  5.937093e-01  0.5523547571  0.552354757
#>  [2686,]  1.618755e-02  4.208979e-01  0.3900075675  0.390007567
#>  [2687,]  1.288950e-01  5.706393e-01  0.7206035178  0.720603518
#>  [2688,]  1.660936e-01  5.991015e-01  0.5991014828  0.599101483
#>  [2689,]  2.996034e-01  6.274947e-01  0.6274947498  0.627494750
#>  [2690,]  5.835546e-01  5.835546e-01  0.5835545797  0.680908380
#>  [2691,]  3.327431e-01  5.160206e-01 -0.0907652451  0.516020641
#>  [2692,] -3.945850e-01  4.332115e-01  0.4332115118  0.433211512
#>  [2693,]  6.565676e-01  4.010683e-01  0.6565675937  0.656567594
#>  [2694,]  5.061024e-01  5.061024e-01  0.4994279344  0.499427934
#>  [2695,]  2.328049e-01  1.385308e-01  0.2328049398  0.232804940
#>  [2696,]  3.639042e-01  3.639042e-01  0.3639042126  0.839680958
#>  [2697,]  6.807935e-01  6.318791e-01  0.6883656825  0.631879060
#>  [2698,]  5.325100e-01  5.325100e-01  0.8037720435  0.532510020
#>  [2699,]  3.155321e-01  7.560110e-01  0.7560109796  0.756010980
#>  [2700,]  1.062139e-01  3.830172e-01  0.6246687818  0.383017163
#>  [2701,] -3.186348e-01  3.773820e-01 -0.2145877025  0.472278420
#>  [2702,] -1.478069e-01  2.367634e-01  0.3937349226  0.474652827
#>  [2703,]  3.754246e-01  3.046513e-01  0.3046513474  0.534257041
#>  [2704,]  2.457062e-01  2.457062e-01  0.4872192184  0.245706200
#>  [2705,]  4.214409e-01  6.675132e-01  0.4214408712  0.633750854
#>  [2706,]  2.932606e-01  1.108533e+00 -0.0186060667  0.293260596
#>  [2707,]  2.534437e-01  6.266378e-01  0.2967653543  0.638478181
#>  [2708,]  8.396414e-02  5.842641e-01  0.5842640871  0.294446887
#>  [2709,] -1.003733e-02  9.876693e-02  0.6700812990  0.670081299
#>  [2710,]  2.677975e-02  4.810072e-01  0.7902706271  0.790270627
#>  [2711,]  3.237728e-01  3.237728e-01  0.4460380662  0.982069507
#>  [2712,]  4.050189e-01  4.050189e-01  0.2282920609  0.858386359
#>  [2713,]  4.049402e-01  5.276169e-01  0.5276168666  0.832648713
#>  [2714,]  4.049549e-01  3.904474e-01  0.3904473751  0.404954865
#>  [2715,] -1.555741e-01  5.167745e-01  0.2015043556  0.516774518
#>  [2716,]  4.847487e-01  1.644644e-01  0.6085648308  0.400812750
#>  [2717,]  4.563880e-01  2.728894e-01  0.4563880353  0.576700129
#>  [2718,]  6.269461e-01  6.768735e-01  0.4074022694  0.295527424
#>  [2719,]  5.427230e-01  5.427230e-01  0.5427230271  0.542723027
#>  [2720,]  5.227679e-01  5.227679e-01  0.5227679057  0.522767906
#>  [2721,]  5.469871e-01  5.469871e-01  0.5469871012  0.546987101
#>  [2722,]  4.550328e-01  5.021022e-01  0.4550328468  0.703875738
#>  [2723,] -4.293412e-01  9.404701e-01  0.9404701349  0.919896013
#>  [2724,]  4.783066e-01  6.950524e-01  0.6950524125  0.553090997
#>  [2725,]  1.545384e-01  2.448496e-01  0.6682223120  0.668222312
#>  [2726,]  5.404522e-01  6.256935e-01  0.6565893357  0.625693477
#>  [2727,]  6.095788e-01  6.095788e-01  0.6095787632  0.650307396
#>  [2728,]  2.571254e-01  5.494741e-01  0.3076630609  0.307663061
#>  [2729,]  2.586496e-01  3.492837e-01  0.3492836830  0.349283683
#>  [2730,]  5.251902e-01  5.251902e-01  0.2857683771  0.285768377
#>  [2731,]  4.805868e-01  4.805868e-01  0.3536834160  0.353683416
#>  [2732,]  5.332513e-02  5.332513e-02  0.0533251300  0.605162667
#>  [2733,]  4.890084e-01  4.890084e-01  0.4890084497  0.489008450
#>  [2734,]  4.401430e-01  4.401430e-01  0.4401430125  0.731562010
#>  [2735,]  6.059348e-01  6.059348e-01  0.6059347553  0.469336644
#>  [2736,]  7.188236e-01  7.188236e-01  0.6977695431  1.047646835
#>  [2737,] -7.498707e-02  4.372777e-01  0.7782780300  0.778278030
#>  [2738,]  6.974085e-02 -3.520556e-02  0.5671300259  0.748596865
#>  [2739,]  3.521208e-01  7.887841e-01  0.5331773561  0.533177356
#>  [2740,]  2.336336e-01  4.590904e-01  0.2641285990  0.636056338
#>  [2741,]  1.924587e-01  1.924587e-01  0.6300337835  0.921021504
#>  [2742,]  2.448063e-01  3.323399e-01  0.3323398751  0.332339875
#>  [2743,]  6.578186e-02  8.490971e-01  0.8490971134  0.346154879
#>  [2744,]  3.567023e-01  6.171139e-01  0.5077282816  0.521678610
#>  [2745,] -4.704269e-02  3.922449e-01  0.6021182002  0.392244936
#>  [2746,]  1.891924e-01  5.214631e-01  1.0692375936  0.521463135
#>  [2747,]  3.259019e-01  6.885140e-01  0.4529179848  0.452917985
#>  [2748,] -5.587304e-02  9.179962e-01  0.5942148087  0.865954696
#>  [2749,] -3.598848e-01  2.918214e-01  0.2313695507  0.291821351
#>  [2750,]  4.935039e-01  4.935039e-01  0.4935039354  0.493503935
#>  [2751,] -5.177044e-01  4.851260e-01  0.4851259962  1.367180081
#>  [2752,]  3.217246e-01  2.541705e-01 -0.2103126135  0.321724582
#>  [2753,] -4.736915e-01  2.433435e-01  0.0824324695  0.243343519
#>  [2754,]  3.176523e-01  1.843183e-01  0.1519519459  0.317652332
#>  [2755,] -6.087835e-01  6.005362e-01  0.6005362001  0.806965752
#>  [2756,] -1.534367e-02  6.522480e-01  0.3924856712  0.652248017
#>  [2757,] -2.088875e-01  8.005319e-01  0.2517133479  0.251713348
#>  [2758,] -1.201701e-01  7.849188e-01  0.3903257821  0.784918831
#>  [2759,]  1.955412e-03  3.214605e-01  0.4574056850  0.457405685
#>  [2760,]  6.125941e-01  5.296244e-01  0.6125941271  0.991933424
#>  [2761,]  5.433274e-01  5.433274e-01  0.8638691333  0.543327363
#>  [2762,]  3.003127e-01  7.594323e-01  0.9070925633  0.759432259
#>  [2763,]  2.475839e-01  2.475839e-01  0.9160262186  0.916026219
#>  [2764,]  2.962790e-01  3.314038e-01  0.6162663954  0.331403823
#>  [2765,]  4.216891e-01  1.579002e-02  0.4216890883  0.469787707
#>  [2766,]  4.073947e-01  6.809044e-01  0.2559514538  0.531637772
#>  [2767,] -3.763900e-01 -1.479690e-02  0.0565200160  0.584343816
#>  [2768,] -3.912033e-01  1.315751e-01  0.4706222323  0.305765373
#>  [2769,] -4.496035e-01  2.776784e-01  0.5396063896  0.807531910
#>  [2770,]  6.694146e-02  6.081697e-01  0.7596759354  0.759675935
#>  [2771,]  1.190703e-01  2.827648e-01  0.2827648304  0.794868288
#>  [2772,] -5.458798e-02  6.908872e-01  0.3458418714  0.532545323
#>  [2773,] -3.364745e-02  5.954431e-01  0.8292728534  0.776516219
#>  [2774,]  5.752931e-02  5.173269e-01  0.5173269142  0.691699963
#>  [2775,]  4.738131e-01  8.310484e-01  0.8310484175  0.831048418
#>  [2776,]  7.082192e-01  7.520753e-01  0.9678973677  0.509036376
#>  [2777,]  5.246391e-01  4.646645e-01  0.3185230626  0.524639130
#>  [2778,]  2.902540e-01  4.747165e-01  0.4747164742  0.474716474
#>  [2779,]  4.637994e-02  5.116121e-01  0.5116121026  0.511612103
#>  [2780,] -1.547421e-02 -1.547421e-02  0.4444528217  1.195949469
#>  [2781,] -1.744990e-01  9.736775e-02  0.7042475630  0.487419161
#>  [2782,]  5.596566e-01  5.596566e-01  0.6332559617  0.559656577
#>  [2783,]  5.060782e-01  3.878619e-01  0.5060782290  0.506078229
#>  [2784,]  5.756517e-01  5.756517e-01  0.5756517058  0.575651706
#>  [2785,]  5.061628e-01  5.061628e-01  0.5061628338  0.506162834
#>  [2786,]  5.635676e-01  5.635676e-01  0.5635676310  0.563567631
#>  [2787,]  4.524395e-01  4.524395e-01  0.4524395456  0.452439546
#>  [2788,]  4.263105e-01  4.263105e-01  0.4263105434  0.426310543
#>  [2789,]  3.982256e-01  3.982256e-01  0.3982256110  0.398225611
#>  [2790,]  6.079690e-03  2.977693e-01  0.5240298644  0.770248685
#>  [2791,]  1.346730e-01  5.334569e-01  0.3864103915  0.305699858
#>  [2792,]  2.154930e-01  3.279314e-01  0.5607975334  0.672998685
#>  [2793,]  3.034767e-01  6.768236e-01  0.3034767030  0.676823612
#>  [2794,]  4.487640e-01  1.695115e-01  0.1695115159  0.701509876
#>  [2795,]  4.503085e-01  7.210974e-01  0.3397155920  0.721097400
#>  [2796,]  3.767870e-01  3.474077e-01  0.8719255224  0.376787025
#>  [2797,]  3.523170e-01  3.523170e-01  0.7754653258  0.357708375
#>  [2798,]  3.045422e-01  3.045422e-01  0.6381149047  0.638114905
#>  [2799,]  1.659617e-01  1.659617e-01  0.7233731748  0.723373175
#>  [2800,]  5.638837e-01  5.638837e-01  0.5638837016  0.563883702
#>  [2801,] -4.428336e-01  4.526374e-01  0.3358055301  0.383163408
#>  [2802,]  1.984674e-01  4.187682e-01  0.9637059197  0.539834280
#>  [2803,]  4.426111e-01  2.714740e-01  0.4426111272  0.445743347
#>  [2804,]  3.848085e-01  3.848085e-01  0.3261630208  0.799158687
#>  [2805,]  4.127747e-01  4.127747e-01  0.9124643978  0.574645378
#>  [2806,]  4.376852e-01  6.765720e-01  0.4376851834  0.676572006
#>  [2807,]  3.776835e-01  3.776835e-01  0.3776834848  0.839123515
#>  [2808,]  1.775186e-01  1.775186e-01  0.1775185868  0.996377461
#>  [2809,]  2.173125e-01  4.273478e-01  0.4273477594  0.427347759
#>  [2810,]  3.051478e-01  2.936152e-01  0.3051478277  0.305147828
#>  [2811,]  3.840664e-01  3.840664e-01  0.3840664380  0.384066438
#>  [2812,]  5.057732e-01  6.699896e-01  0.5474058521  0.547405852
#>  [2813,] -2.207928e-01  6.183479e-01  0.1809454825  0.475766025
#>  [2814,] -9.959258e-02  5.893283e-01  0.5893282799  0.678002753
#>  [2815,]  5.926134e-01  5.926134e-01  0.5926133696  0.592613370
#>  [2816,]  5.422730e-01  4.842487e-01  0.5422729868  0.542272987
#>  [2817,]  5.387824e-01  5.387824e-01  0.5387824106  0.538782411
#>  [2818,]  4.492538e-01  4.492538e-01  0.4492537575  0.449253757
#>  [2819,] -2.686450e-02 -2.686450e-02  0.8085575669  0.808557567
#>  [2820,]  3.800687e-01  7.817457e-02  0.3800687274  0.726184853
#>  [2821,]  5.333860e-01  4.642317e-01  0.5333859873  0.464231684
#>  [2822,]  4.979984e-01  4.979984e-01  0.4966856418  0.426026430
#>  [2823,]  5.571473e-01  5.571473e-01  0.5571472647  0.557147265
#>  [2824,]  2.284940e-01  7.365251e-01  0.7365251464  0.736525146
#>  [2825,]  3.494720e-01  3.494720e-01  0.3494719535  0.349471953
#>  [2826,]  5.057602e-01  5.057602e-01  0.5057601642  0.505760164
#>  [2827,]  4.130825e-01  4.451189e-01  0.4130824698  0.445118852
#>  [2828,]  5.949783e-01  5.949783e-01  0.5619746348  0.594978341
#>  [2829,]  7.089725e-01  7.089725e-01  0.6811994287  0.681199429
#>  [2830,]  9.761331e-01  7.247578e-01  0.7247578070  0.724757807
#>  [2831,]  4.311621e-01  4.311621e-01  0.4311620556  0.431162056
#>  [2832,]  3.687764e-01  3.687764e-01  0.3687763678  0.368776368
#>  [2833,]  3.734189e-01  3.734189e-01  0.3734188677  0.373418868
#>  [2834,] -1.975714e-01  2.948762e-01  0.0998420595  0.550921106
#>  [2835,] -1.740882e-01  7.664364e-01  0.3409263759  0.735633915
#>  [2836,] -1.929290e-02  5.836682e-01  0.6915981852  0.651609912
#>  [2837,] -3.066884e-01  5.636375e-01  0.7045707762  0.781798824
#>  [2838,]  1.145301e-01  7.711490e-01  0.1265766977  0.771149042
#>  [2839,]  4.908419e-01  4.831886e-01  0.6173609919  0.483188589
#>  [2840,]  7.161463e-01  6.504486e-01  0.4328628067  0.283509914
#>  [2841,]  1.585297e-01  9.642831e-01  0.4545080237  1.076871197
#>  [2842,] -7.890804e-02  8.925554e-01  0.4107214535  0.459285910
#>  [2843,]  2.937764e-01  4.040858e-01  0.6406856882  0.640685688
#>  [2844,] -2.259487e-02  8.052033e-01  0.4867238827  0.805203260
#>  [2845,] -1.252085e-01  1.983131e-01  0.4381596375  0.790492108
#>  [2846,]  1.650921e-01  5.097338e-01  0.3384157397  1.053839661
#>  [2847,]  1.837558e-01  3.310127e-01  0.3393021474  0.782535027
#>  [2848,]  4.281639e-01  5.184372e-01  0.7338886284  0.974877810
#>  [2849,]  3.832458e-02  9.041567e-01  0.6952621386  0.696597641
#>  [2850,]  1.538746e-01  7.481860e-01  0.3099441738  0.764364708
#>  [2851,] -3.815706e-01  1.224116e+00  0.3165363350  1.224116418
#>  [2852,] -1.433986e-01  6.015862e-01  0.6015862262  0.601586226
#>  [2853,]  5.420847e-01  5.420847e-01  0.8048166918  0.860884704
#>  [2854,]  4.580030e-01  4.580030e-01  0.6248729070  0.458003013
#>  [2855,]  4.751140e-01  3.103677e-01  0.4011425572  0.475114029
#>  [2856,]  7.748483e-01  4.654829e-01  0.4654829091  0.465482909
#>  [2857,]  2.940509e-01  2.940509e-01  0.2940508820  0.294050882
#>  [2858,]  3.146144e-01  2.862566e-01  0.3146143633  0.286256635
#>  [2859,]  5.095726e-01  5.095726e-01  0.3638887847  0.509572597
#>  [2860,]  3.693844e-01  3.693844e-01  0.3693844032  0.369384403
#>  [2861,]  6.480616e-01  6.480616e-01  0.6480615976  0.648061598
#>  [2862,]  4.558643e-01  4.558643e-01  0.4558643385  0.455864339
#>  [2863,]  7.892609e-01  7.892609e-01  0.7892608557  0.789260856
#>  [2864,] -1.153253e+00  5.187614e-01  0.5187613549  1.086177243
#>  [2865,]  4.240514e-01  4.240514e-01  0.4240514390  0.771629171
#>  [2866,]  6.418623e-01  3.543501e-01  0.3543501349  0.824005861
#>  [2867,]  4.581863e-01  4.581863e-01  0.6928476838  1.116634032
#>  [2868,]  3.106891e-01  6.273735e-01  0.7817633505  0.781763351
#>  [2869,]  1.082033e-01  5.433998e-01  0.5433998051  0.543399805
#>  [2870,]  3.520507e-01  3.576687e-01  0.0727852576  0.546117456
#>  [2871,]  1.908981e-01  7.315362e-01  0.7315362425  0.731536243
#>  [2872,] -4.306150e-02  7.209068e-01  0.5810932788  0.896657130
#>  [2873,]  2.963791e-01  1.769173e-01  0.1769172924  0.296379089
#>  [2874,]  4.961765e-02  6.058283e-01  0.6309438021  0.630943802
#>  [2875,]  8.016771e-01  2.321265e-01  0.2809115768  0.232126469
#>  [2876,]  3.358194e-01  6.927479e-01  0.3358194290  0.692747935
#>  [2877,]  3.567646e-01  3.567646e-01  0.8821344706  0.882134471
#>  [2878,]  4.283317e-01  4.028405e-01  0.4283316977  1.116506256
#>  [2879,]  3.889541e-01  6.811779e-01  0.3889540542  0.388954054
#>  [2880,]  4.972548e-01  4.972548e-01  0.4972548302  0.497254830
#>  [2881,] -1.669017e-01  6.171603e-01  0.6171602913  0.617160291
#>  [2882,]  1.778935e-01  3.462754e-01  0.3462754042  0.346275404
#>  [2883,]  3.371477e-01  4.590732e-01  0.4359866706  0.435986671
#>  [2884,]  2.296017e-01  7.629958e-01  0.7629958387  0.539162507
#>  [2885,]  2.861463e-01  2.861463e-01  0.5201125273  0.520112527
#>  [2886,]  5.408949e-01  4.629528e-01  1.0218355198  0.540894927
#>  [2887,]  2.002918e-01  4.045618e-01  0.4545856334  0.200291759
#>  [2888,]  4.187584e-01  4.187584e-01  0.7368184543  0.736818454
#>  [2889,]  1.148692e-01  1.148692e-01  0.0200396235  0.562537350
#>  [2890,]  1.321598e-01  1.321598e-01  0.5217347671  0.521734767
#>  [2891,]  2.546970e-01  5.305887e-01  0.3886079326  0.643367311
#>  [2892,] -1.481968e-01  5.375020e-01  0.3701712241  0.530001228
#>  [2893,]  9.243246e-02  7.530805e-01  0.5169740361  0.753080475
#>  [2894,]  2.354484e-01  1.976866e-01  0.6424580479  0.642458048
#>  [2895,] -6.220407e-02  7.006731e-01  0.7447532052  0.700673131
#>  [2896,] -1.244410e-01  5.578012e-01  0.9519338234  0.815391253
#>  [2897,]  2.573684e-01  1.628389e-01  0.1628389121  0.654242644
#>  [2898,]  2.552456e-01  3.881476e-01  0.3881476052  0.388147605
#>  [2899,]  1.306582e-02  3.799595e-01  0.3799594799  0.379959480
#>  [2900,]  3.662118e-01  3.662118e-01  0.3662117587  0.366211759
#>  [2901,]  4.630017e-01  4.630017e-01  0.4630016564  0.463001656
#>  [2902,]  5.329044e-01  5.329044e-01  0.5329044078  0.532904408
#>  [2903,]  3.924337e-01  3.924337e-01  0.3924337500  0.392433750
#>  [2904,]  3.231005e-01  3.231005e-01  0.3231004762  0.323100476
#>  [2905,]  4.402068e-01  4.402068e-01  0.4402067758  0.440206776
#>  [2906,]  5.090133e-01  5.090133e-01  0.5090133158  0.509013316
#>  [2907,]  4.845180e-01  4.845180e-01  0.4845180334  0.484518033
#>  [2908,]  5.294031e-01  5.294031e-01  0.5294030615  0.529403061
#>  [2909,]  4.586045e-01  4.586045e-01  0.4586044578  0.458604458
#>  [2910,]  5.495639e-01  5.495639e-01  0.5495639111  0.549563911
#>  [2911,]  5.870923e-01  5.870923e-01  0.5870922888  0.587092289
#>  [2912,]  6.532533e-01  6.532533e-01  0.6532533356  0.653253336
#>  [2913,]  7.576658e-01  5.535868e-01  0.7576657672  0.757665767
#>  [2914,] -5.199418e-02  4.891809e-01  0.4891809077  0.489180908
#>  [2915,]  1.539308e-01  7.958368e-01  0.5916799982  0.795836800
#>  [2916,]  1.509753e-01  1.509753e-01  0.6331508254  0.633150825
#>  [2917,]  5.371272e-01  5.371272e-01  0.6405071424  0.640507142
#>  [2918,]  1.978061e-01  6.098088e-01  0.1796396665  0.609808796
#>  [2919,]  3.557966e-01  3.557966e-01  0.3557966455  0.355796645
#>  [2920,]  5.110125e-01  5.110125e-01  0.5110125188  0.511012519
#>  [2921,]  4.382324e-01  4.939428e-01  0.4939427889  0.493942789
#>  [2922,]  5.488485e-01  5.488485e-01  0.5488485072  0.633933431
#>  [2923,]  3.814121e-01  1.929303e-01  0.0484530026  0.555041224
#>  [2924,]  2.613018e-01  6.020597e-01  0.6020597017  0.602059702
#>  [2925,]  3.649245e-01  4.399026e-01  0.5213195210  0.439902640
#>  [2926,]  6.060014e-01  6.060014e-01  0.3028835105  0.606001375
#>  [2927,] -1.574254e-01  4.922550e-01  0.4922549823  0.492254982
#>  [2928,]  2.399222e-01  6.489712e-01  0.6489711740  0.648971174
#>  [2929,]  4.918898e-01  4.918898e-01  0.4918898368  0.491889837
#>  [2930,]  5.728833e-01  5.728833e-01  0.5728832757  0.572883276
#>  [2931,]  3.749653e-01  3.749653e-01  0.3749653205  0.374965320
#>  [2932,] -1.619211e-01  4.902837e-01  0.4902836999  0.490283700
#>  [2933,]  3.707656e-01  3.707656e-01  0.3707655769  0.370765577
#>  [2934,]  5.385280e-01  5.385280e-01  0.5385280258  0.538528026
#>  [2935,]  4.894570e-01  4.894570e-01  0.4894570160  0.489457016
#>  [2936,]  4.065607e-01  4.065607e-01  0.4065606662  0.406560666
#>  [2937,]  4.449452e-01  5.568167e-01  0.5568166704  0.556816670
#>  [2938,]  5.816781e-01  5.459939e-01  0.5459939335  0.545993933
#>  [2939,]  4.681056e-01  4.651003e-01  0.4651003062  0.468105648
#>  [2940,]  4.410183e-01  4.410183e-01  0.4410182912  0.441018291
#>  [2941,]  4.441896e-01  1.061112e+00 -0.0430762914  1.061112099
#>  [2942,]  8.916213e-01  5.917455e-01  0.3971245967  1.099968749
#>  [2943,]  1.236018e-01  3.363924e-01  0.3363923676  1.014646523
#>  [2944,]  4.702533e-01  4.702533e-01  0.4702532786  0.470253279
#>  [2945,]  1.706818e-01  4.171435e-01  0.4171435158  0.853173697
#>  [2946,]  4.309582e-01  5.368912e-01  0.4309581999  0.864964859
#>  [2947,]  1.552310e-01  4.890232e-01  0.8423311292  0.908882276
#>  [2948,]  1.639181e-01  5.728747e-01  0.7894437792  0.789815677
#>  [2949,]  2.790856e-01  4.856459e-01  0.8988242683  0.898824268
#>  [2950,] -2.384771e-01 -2.384771e-01 -0.2384770868  0.805837206
#>  [2951,] -1.341580e-01  4.968195e-01  0.0923674546  0.793565803
#>  [2952,] -2.217866e-01  4.545530e-01  0.4545529570  0.591841539
#>  [2953,]  5.061374e-01  5.061374e-01  0.5061373610  0.506137361
#>  [2954,]  4.356560e-01  4.356560e-01  0.4356560256  0.435656026
#>  [2955,]  3.127564e-01  3.127564e-01  0.3127564098  0.312756410
#>  [2956,]  3.739073e-01  3.739073e-01  0.3739073483  0.373907348
#>  [2957,]  2.380098e-01  2.380098e-01  0.2380097877  0.513578418
#>  [2958,]  4.372615e-01  7.195872e-01  0.3955598263  0.719587179
#>  [2959,]  4.702223e-01  6.618429e-01  0.8441809464  0.928587586
#>  [2960,]  1.407780e-01  7.976540e-01  0.8780407483  0.140778028
#>  [2961,]  1.829747e-01  3.128472e-01  0.1829747073  0.312847183
#>  [2962,]  2.829425e-01 -1.493997e-02  0.2829425040  0.282942504
#>  [2963,]  4.438365e-01  4.438365e-01  0.4438365343  0.443836534
#>  [2964,]  5.255551e-03  5.553147e-01  0.5276171233  0.527617123
#>  [2965,]  9.701950e-02  9.711172e-02  0.3718765150  0.867548194
#>  [2966,] -2.593903e-02  6.053645e-01  0.0764376139  0.692387196
#>  [2967,] -3.662383e-01  8.152732e-01  0.1581929303  0.582031945
#>  [2968,]  8.594695e-02  7.931697e-01  0.0889800396  0.793169714
#>  [2969,]  1.000099e-01  2.105593e-01  0.4302534520  0.430253452
#>  [2970,] -1.838254e-01  2.448944e-01  0.2448944287  0.460049557
#>  [2971,]  3.233659e-02  3.233659e-02  0.0323365942  0.441502677
#>  [2972,]  3.679871e-01  8.961482e-01  0.3679871421  0.494833106
#>  [2973,]  5.328483e-01  3.324485e-01  0.6108891311  0.332448484
#>  [2974,]  5.895922e-01  6.855121e-02  0.5895922448  0.589592245
#>  [2975,]  4.691899e-03  4.759796e-01  0.9564689680  0.956468968
#>  [2976,]  4.187252e-01  1.605674e-01  0.4187252005  1.080893589
#>  [2977,]  4.437172e-01  4.437172e-01  0.4437171647  0.443717165
#>  [2978,]  2.921329e-01  2.921329e-01  0.5236245521  0.523624552
#>  [2979,]  7.990145e-01  7.020815e-01  0.7990145272  0.799014527
#>  [2980,]  6.885686e-01  6.561199e-01  0.6885685637  0.688568564
#>  [2981,] -1.214009e-01  5.185215e-01  0.5185214692  0.533582122
#>  [2982,]  1.851106e-02  3.138409e-01  0.3138409488  0.609790581
#>  [2983,] -3.109496e-02  2.749000e-01  0.2749000144  0.274900014
#>  [2984,]  3.410319e-01  3.410319e-01  0.3410319170  0.488075942
#>  [2985,]  4.886137e-01  4.886137e-01  0.4886136565  0.488613657
#>  [2986,]  4.812969e-01  4.812969e-01  0.4812968643  0.481296864
#>  [2987,]  4.135687e-01  4.135687e-01  0.4135686655  0.413568665
#>  [2988,]  3.030425e-01  3.030425e-01  0.3030425430  0.303042543
#>  [2989,]  8.825756e-02  4.501518e-01  0.4501517653  0.450151765
#>  [2990,]  5.108940e-01  5.108940e-01  0.5108940262  0.510894026
#>  [2991,]  4.803618e-01  4.803618e-01  0.4803618391  0.480361839
#>  [2992,]  4.488377e-01  4.488377e-01  0.4488376518  0.448837652
#>  [2993,]  6.947658e-01  3.676664e-01  0.3676664000  0.694765830
#>  [2994,]  1.123688e-01  8.423240e-01  0.9267114551  0.842324026
#>  [2995,]  6.590395e-02  6.208351e-01  0.7942508962  0.794250896
#>  [2996,]  5.168027e-01  8.041885e-01  0.5168026504  0.516802650
#>  [2997,]  6.163474e-01  5.384439e-01  0.6163473924  0.339783112
#>  [2998,] -2.075736e-01  6.024796e-01  0.4592535808  0.798522222
#>  [2999,]  3.248909e-01  6.335510e-01  0.3248908853  0.836810166
#>  [3000,] -1.032211e-01  2.774841e-01  0.5278976741  0.527897674
#>  [3001,] -1.906141e-01  5.043557e-01  0.8063113188  0.099341348
#>  [3002,]  8.177312e-02  6.069827e-01  0.0817731178  0.606982731
#>  [3003,]  7.133093e-01  7.133093e-01  0.7133093234  0.713309323
#>  [3004,]  4.835682e-01  4.835682e-01  0.4835681933  0.483568193
#>  [3005,]  3.542510e-01  3.542510e-01  0.3542509633  0.570402372
#>  [3006,]  1.568022e-01  1.568022e-01  0.1814932958  0.538045327
#>  [3007,]  3.705783e-01  3.162117e-01  0.2809746398  0.280974640
#>  [3008,]  4.723663e-01  4.723663e-01  0.4723663411  0.472366341
#>  [3009,]  3.754101e-01  3.499094e-01  0.3499093556  0.666414902
#>  [3010,]  4.122428e-01  4.122428e-01  0.6715358542  0.671535854
#>  [3011,]  4.939844e-01  8.476834e-01  0.8476834198  0.847683420
#>  [3012,]  3.037874e-01  5.804529e-01  0.5804528935  0.580452894
#>  [3013,]  2.541845e-01  2.541845e-01  0.2541845314  0.813613865
#>  [3014,]  3.584556e-01  3.584556e-01  0.3584555904  1.134480375
#>  [3015,]  5.067631e-01  5.067631e-01  0.5067630895  0.841176367
#>  [3016,]  2.158292e-01  5.157399e-01  0.4449955077  0.340277428
#>  [3017,]  5.443517e-01  2.658444e-01  0.5443517361  0.853078224
#>  [3018,]  2.303217e-01  6.585721e-01  0.9149298023  0.902253844
#>  [3019,]  1.524361e-01  5.608816e-01  0.8177009325  0.593051823
#>  [3020,] -6.897457e-02  3.625707e-01  0.3625707172  0.721805457
#>  [3021,]  3.115472e-01  3.115472e-01  0.3538447606  0.618732581
#>  [3022,]  3.469517e-01  3.469517e-01  0.0041471272  0.346951728
#>  [3023,]  4.244852e-01  4.244852e-01  0.4244851997  0.424485200
#>  [3024,]  3.802691e-01  3.802691e-01  0.3802690654  0.380269065
#>  [3025,]  4.759400e-01  4.759400e-01  0.4759399519  0.475939952
#>  [3026,]  4.915666e-01  4.915666e-01  0.4915665732  0.491566573
#>  [3027,]  5.743064e-01  5.743064e-01  0.5743063964  1.229711574
#>  [3028,]  3.595556e-01  3.595556e-01  0.2305410763  0.359555603
#>  [3029,]  1.883936e-01  7.468454e-01  0.7468453860  0.746845386
#>  [3030,]  3.022926e-01  6.054263e-01  0.6054262950  0.605426295
#>  [3031,]  1.728212e-01  8.233787e-01  0.8233787112  0.823378711
#>  [3032,]  2.444557e-01  2.444557e-01  0.5272523783  0.754278201
#>  [3033,]  3.178345e-01  3.178345e-01  0.5294838623  0.317834520
#>  [3034,]  5.037972e-01  5.943731e-01  0.6671488325  0.684538412
#>  [3035,]  6.867170e-01  6.867170e-01  0.8989381043  0.686716986
#>  [3036,]  2.955822e-01  2.955822e-01  0.7727317342  0.295582167
#>  [3037,]  8.066523e-01  8.066523e-01  0.8066522576  0.806652258
#>  [3038,]  2.024235e-01  5.030990e-01  0.5030989600  0.503098960
#>  [3039,]  2.882495e-01  4.936148e-01  0.2882495370  0.974636203
#>  [3040,] -7.174852e-02  3.099892e-01  0.2959939913  0.958999221
#>  [3041,] -1.131443e-01  5.006806e-01  0.7750526722  0.500680578
#>  [3042,]  3.766054e-01  3.766054e-01  0.7781601911  0.636119136
#>  [3043,]  5.742155e-01  5.742155e-01  0.6965072426  0.574215508
#>  [3044,]  7.281200e-01  6.070934e-01  0.6070934186  0.743437558
#>  [3045,]  1.592535e-01  8.696134e-01  0.4690247283  0.469024728
#>  [3046,]  3.367726e-01  3.367726e-01  0.3367725650  0.609365384
#>  [3047,]  7.447714e-01  4.718168e-01  0.7447714412  0.744771441
#>  [3048,]  1.834703e-01  1.834703e-01  0.1834703126  0.183470313
#>  [3049,]  4.695597e-01  4.695597e-01  0.4695597198  0.469559720
#>  [3050,]  5.317586e-01  5.317586e-01  0.5317585623  0.531758562
#>  [3051,] -9.860698e-02  8.411684e-01  0.8411683982  0.841168398
#>  [3052,] -8.572005e-02  8.629019e-01  0.8629019147  0.862901915
#>  [3053,] -3.771314e-01  7.367952e-01  0.7367952271  0.736795227
#>  [3054,] -5.420919e-01  4.850486e-01  0.7139712560  0.792612924
#>  [3055,] -1.659137e-01  6.307139e-01  0.6307139236  1.089309460
#>  [3056,]  5.533223e-01  4.797022e-01  0.5533222867  0.553322287
#>  [3057,]  2.604849e-01  2.604849e-01  0.8748254131  0.747551191
#>  [3058,]  2.944994e-02 -1.172493e-01  0.4008795501  0.217073314
#>  [3059,]  4.379709e-02  2.181105e-01  0.2170583565  0.779280932
#>  [3060,]  3.689918e-01  4.678292e-01  0.3689918474  0.722173205
#>  [3061,]  4.480355e-01  4.480355e-01  0.4480354535  0.448035453
#>  [3062,]  3.930025e-01  3.930025e-01  0.3930025085  0.393002509
#>  [3063,]  5.415471e-01  5.415471e-01  0.5415470573  0.541547057
#>  [3064,]  4.631816e-01  4.631816e-01  0.4631816459  0.463181646
#>  [3065,]  2.181036e-01  2.181036e-01  0.2181035535  0.218103554
#>  [3066,]  4.225263e-01  3.564461e-01  0.4225263401  0.422526340
#>  [3067,]  9.941454e-02  4.308720e-01  0.6363853957  0.636385396
#>  [3068,]  1.445238e-01  6.019014e-01  0.6019013932  0.601901393
#>  [3069,]  6.499746e-01 -5.806311e-02  0.6499746005  0.649974601
#>  [3070,]  6.132403e-01  6.132403e-01  0.5190815824  0.613240299
#>  [3071,]  3.498076e-01  4.930965e-01  0.5056654081  0.493096515
#>  [3072,]  5.172071e-01  5.172071e-01  0.4428925242  0.102719764
#>  [3073,]  2.740493e-01  2.740493e-01  0.6034663014  0.603466301
#>  [3074,]  5.037967e-01  5.037967e-01  0.5037966667  0.647478606
#>  [3075,]  6.744646e-02  2.973356e-01  0.9100896225  0.910089622
#>  [3076,]  4.711325e-01  4.912423e-01  0.4711324524  0.491242327
#>  [3077,]  6.433407e-01  4.072775e-01  0.6331438926  0.643340732
#>  [3078,] -2.600788e-01  2.617838e-01  0.6649720359  0.492153161
#>  [3079,]  8.026211e-02  4.323123e-01  0.4323122924  0.432312292
#>  [3080,]  4.491725e-01  4.491725e-01  0.4491724519  0.446160367
#>  [3081,]  5.500045e-01  5.209002e-01  0.5500045203  0.550004520
#>  [3082,]  5.970658e-02  5.035883e-01  0.3351547019  0.643073428
#>  [3083,]  1.847000e-01  7.116603e-01  0.1846999616  0.754260345
#>  [3084,]  5.104599e-01  6.651617e-01  0.6640506909  0.510459872
#>  [3085,]  4.228876e-01  3.537329e-01  0.7073723632  0.422887623
#>  [3086,]  3.437030e-01  1.681869e-01  0.8985335657  0.123231318
#>  [3087,]  3.640768e-01  1.408394e-01  0.4381944282  0.420699620
#>  [3088,]  2.413210e-01  4.071387e-01  0.4071387467  0.807276481
#>  [3089,]  4.315390e-01  4.490670e-01  0.8391666789  1.050148787
#>  [3090,]  2.228173e-01  2.096570e-01  0.5162817653  0.945416577
#>  [3091,]  4.540555e-01  2.434196e-01  0.4540554982  0.454055498
#>  [3092,]  4.525080e-02  5.346443e-01  0.5346442655  0.534644265
#>  [3093,]  3.173091e-02  3.651483e-01  0.3651483010  0.365148301
#>  [3094,]  2.737810e-01  2.737810e-01  0.2737810006  0.273781001
#>  [3095,]  2.730025e-01  1.626630e-01  0.2730024806  0.273002481
#>  [3096,]  3.386174e-01  3.386174e-01  0.3386174348  0.338617435
#>  [3097,]  3.811480e-01  3.811480e-01  0.3811479648  0.381147965
#>  [3098,]  6.451787e-01  6.451787e-01  0.6451787144  0.645178714
#>  [3099,]  6.239659e-01  6.239659e-01  0.6239659103  0.623965910
#>  [3100,]  4.261214e-01  4.261214e-01  0.4261213833  0.667705194
#>  [3101,]  5.413140e-02  5.468067e-01  0.3717814774  0.874244231
#>  [3102,] -1.104816e-01  3.096767e-01  0.2804136479  0.821151145
#>  [3103,]  3.622915e-01  5.415550e-01  0.3928146026  0.362291518
#>  [3104,]  2.677026e-01  2.677026e-01  0.8498906118  0.621092198
#>  [3105,] -1.949019e-03  6.097434e-01  0.5862903683  0.609743385
#>  [3106,] -1.188718e-02  1.672439e-01  0.6362928233  0.636292823
#>  [3107,]  5.725999e-02  7.527519e-01  0.7387097894  0.528653207
#>  [3108,] -1.248280e-01  4.796350e-01  0.4295399189  0.429539919
#>  [3109,] -9.802778e-02  5.362732e-01  0.6219004524  0.540950695
#>  [3110,] -2.960400e-01  5.768584e-01  0.5425086174  0.482345959
#>  [3111,] -2.958645e-01  6.643515e-01  0.6643515039  0.441631551
#>  [3112,] -9.483027e-02  2.935013e-01  0.4120576730  0.765004031
#>  [3113,]  1.385887e-01  1.385887e-01  0.5387204313  1.038148041
#>  [3114,]  2.349555e-01  4.896330e-01  0.1717758620  0.497434048
#>  [3115,]  3.888030e-01  5.702785e-01  0.5702785089  0.807699786
#>  [3116,]  2.962155e-01  4.204189e-01  0.5750678419  0.747911836
#>  [3117,]  1.819432e-01  1.819002e-01  0.5609733267  0.737334862
#>  [3118,]  1.621164e-01  2.836183e-01  0.8020141422  0.855804949
#>  [3119,]  5.055491e-01  5.365190e-01  0.6497611530  1.215695277
#>  [3120,]  1.481338e-02  7.852481e-02  0.4705330080  0.470533008
#>  [3121,]  4.408250e-02  4.408250e-02  0.5961686517  0.044082502
#>  [3122,]  4.828138e-01 -1.347261e-02  0.4663821870  0.466382187
#>  [3123,]  4.951301e-01  4.951301e-01  0.4951300916  0.495130092
#>  [3124,]  7.655141e-01  7.655141e-01  0.7655140910  0.765514091
#>  [3125,]  1.853261e-02  3.711549e-01  0.3711549013  0.371154901
#>  [3126,]  5.925408e-01  5.925408e-01 -0.2667697616  0.592540761
#>  [3127,] -2.663026e-01  4.281045e-01  0.4281044795  0.428104479
#>  [3128,]  1.371661e-01  7.871546e-01  0.1371660601  0.787154613
#>  [3129,] -1.401131e-01  6.928076e-01  0.6928075504  0.692807550
#>  [3130,]  5.073232e-01  5.073232e-01  0.5073232451  0.507323245
#>  [3131,]  3.109831e-01  3.109831e-01  0.3109830649  0.310983065
#>  [3132,]  3.288666e-01  3.288666e-01  0.5047033432  0.328866609
#>  [3133,]  3.078925e-01  6.148797e-01  0.6148796778  0.763744190
#>  [3134,]  4.617846e-01  4.617846e-01  0.4617846253  0.461784625
#>  [3135,]  6.424049e-01  6.424049e-01  0.6424048700  0.642404870
#>  [3136,]  7.039223e-01  7.039223e-01  0.7039223078  0.703922308
#>  [3137,]  3.840077e-01  3.840077e-01  0.3840077166  0.384007717
#>  [3138,] -1.184064e-01 -1.184064e-01 -0.1184063780  0.385828993
#>  [3139,]  1.682873e-01  6.672035e-01  0.6672034532  0.667203453
#>  [3140,]  2.008454e-01  6.217998e-01  0.6217997581  0.621799758
#>  [3141,]  2.895895e-01  2.895895e-01  0.2895895286  0.289589529
#>  [3142,]  5.121448e-01  5.121448e-01  0.5121447958  0.512144796
#>  [3143,]  2.627684e-01  4.037258e-01  0.4037257827  0.721515090
#>  [3144,]  5.076771e-01  5.076771e-01  0.5076770762  0.922336542
#>  [3145,]  4.516217e-01  3.310919e-01  0.4516217143  1.041972816
#>  [3146,]  4.780483e-01  7.072608e-01  0.4780482578  0.707260797
#>  [3147,]  1.123999e-01  5.117438e-01  0.1123998916  0.970592020
#>  [3148,]  3.513192e-01  3.513192e-01  0.1651416990  0.890791165
#>  [3149,]  1.323094e-01  1.323094e-01  0.2879064344  0.752033208
#>  [3150,] -2.409726e-01  1.034076e+00  0.7638886549  0.763888655
#>  [3151,]  1.138227e-01  6.197302e-01  0.6197301961  0.738739981
#>  [3152,]  1.711811e-01  6.721916e-01  0.6721916237  0.710396223
#>  [3153,] -1.167387e-02  3.007060e-01  0.1188502865  0.760994753
#>  [3154,]  9.233972e-02  9.259718e-01  0.9259717686  0.696268004
#>  [3155,]  1.726263e-01  1.101429e+00  0.9274812927  0.927481293
#>  [3156,]  8.375371e-02  2.538341e-01  0.6456537967  0.645653797
#>  [3157,] -1.405975e-01  7.706003e-01  0.7706002890  0.770600289
#>  [3158,]  1.034542e-01  7.714060e-01  0.4993558331  0.771405962
#>  [3159,] -2.115593e-01  8.682871e-01  0.7875422682  0.890322269
#>  [3160,]  3.757008e-01  7.229448e-01  0.3757007804  0.945951951
#>  [3161,]  2.998909e-01  2.998909e-01  0.2998909248  0.299890925
#>  [3162,]  4.376059e-01  4.376059e-01  0.4376059233  0.735680467
#>  [3163,]  4.412428e-01  4.412428e-01  0.4412428210  0.441242821
#>  [3164,]  4.793015e-01  4.793015e-01  0.4793015209  0.479301521
#>  [3165,]  4.802409e-01  4.802409e-01  0.4802409262  0.480240926
#>  [3166,]  7.000323e-01  7.000323e-01  0.7000322887  0.700032289
#>  [3167,]  1.508372e-01  1.508372e-01  0.1508372041  0.150837204
#>  [3168,]  4.141045e-01  4.141045e-01  0.4141045293  0.414104529
#>  [3169,]  1.934769e-01  1.934769e-01  0.1934769246  0.193476925
#>  [3170,]  3.381220e-01  6.429222e-01  0.4109361558  0.642922225
#>  [3171,]  7.715270e-02  4.505827e-01  0.3687487704  0.833605141
#>  [3172,]  2.482111e-01  7.343501e-01  0.5025349342  0.504751003
#>  [3173,]  2.096506e-01  6.279121e-01  0.5820929578  0.621210979
#>  [3174,]  3.211772e-01  3.654059e-01  0.7611034228  0.459304992
#>  [3175,]  2.396422e-01  6.761592e-01  0.6546678032  0.771049105
#>  [3176,]  2.606824e-01  8.002800e-02  0.2606824449  1.108394029
#>  [3177,]  3.615822e-01  1.349408e-01  0.1349407871  0.621857087
#>  [3178,]  4.890562e-01  4.890562e-01  0.4890561587  0.564723215
#>  [3179,]  2.915105e-01  5.858834e-01  0.3511927006  0.933474797
#>  [3180,]  4.304280e-01  9.075020e-01  0.7569446305  0.907501958
#>  [3181,]  2.279415e-01  5.709298e-01  0.5348031717  0.570929807
#>  [3182,]  3.688159e-01  5.202481e-01  0.3688159144  0.427009490
#>  [3183,]  4.522541e-01  4.522541e-01  0.4522541065  0.455830295
#>  [3184,]  6.766431e-01  5.326683e-01  0.6766430852  0.676643085
#>  [3185,]  6.280012e-01  6.280012e-01  0.6280011981  0.628001198
#>  [3186,]  4.979175e-01  4.979175e-01  0.5464366019  0.546436602
#>  [3187,]  5.684630e-01  5.684630e-01  0.5684629550  0.837682190
#>  [3188,]  2.706954e-01  2.706954e-01  0.2706953568  0.684578887
#>  [3189,]  2.516965e-02  2.510827e-01  0.2510826569  0.776470419
#>  [3190,]  2.508910e-01  5.884860e-01  0.9081122083  0.908112208
#>  [3191,]  5.097918e-01  5.162991e-01  0.5097918401  0.708781609
#>  [3192,]  6.246520e-02  6.689138e-01  0.6689138064  0.613520040
#>  [3193,]  1.583350e-01  4.957278e-01  0.6155794550  0.495727820
#>  [3194,]  1.841332e-01  2.250536e-01  0.3957655078  0.225053646
#>  [3195,]  1.005025e-01  4.856309e-01  0.4999867635  0.665308604
#>  [3196,]  3.054005e-03  3.567433e-01  0.4176496541  0.588997851
#>  [3197,]  3.304092e-01  4.601916e-01  0.0255120211  0.738050673
#>  [3198,]  5.240413e-01  8.317834e-01  0.5240412928  0.952519488
#>  [3199,]  4.406960e-01  6.060601e-01  0.0384917058  0.440696046
#>  [3200,]  1.181113e-01  1.181113e-01  0.4830631186  0.783572605
#>  [3201,]  2.801118e-01  4.731853e-01  0.2498179587  0.473185274
#>  [3202,]  6.192211e-01  6.192211e-01  0.6192211207  0.619221121
#>  [3203,]  3.631910e-01  3.631910e-01  0.3683302643  0.363190964
#>  [3204,]  3.261789e-01  1.014520e+00 -0.1908415863  1.014520066
#>  [3205,]  4.454779e-01  6.041286e-01  0.4454779385  1.060376832
#>  [3206,]  4.481491e-01  8.178577e-01  0.4481490616  0.448149062
#>  [3207,]  5.873113e-01  5.873113e-01  0.5873112707  0.587311271
#>  [3208,]  6.851588e-01  6.851588e-01  0.5685721886  0.685158846
#>  [3209,] -3.692400e-01  5.465720e-01  0.5091117901  0.509111790
#>  [3210,]  6.865158e-01  4.903155e-01  0.4903155105  0.490315511
#>  [3211,]  2.909068e-01  5.782265e-01  0.5782264651  0.578226465
#>  [3212,] -3.362253e-01  7.120442e-01  0.7120441600  0.712044160
#>  [3213,]  2.104232e-01  8.919518e-01  0.8919518274  0.891951827
#>  [3214,]  3.645101e-01  3.521856e-01  0.3521856458  0.352185646
#>  [3215,]  6.891641e-01  6.891641e-01  0.6891641264  0.689164126
#>  [3216,]  4.165796e-01  4.544302e-01  0.6773972105  0.677397210
#>  [3217,]  9.203909e-02  9.203909e-02  0.7817034705  0.781703470
#>  [3218,]  5.519097e-01  5.519097e-01  0.5519096520  0.551909652
#>  [3219,]  1.845948e-01  6.546528e-01  0.6546528093  0.654652809
#>  [3220,]  2.822552e-01  2.822552e-01  0.2822552096  0.523836798
#>  [3221,] -3.203872e-01  7.471415e-01  0.2912994601  0.747141468
#>  [3222,]  5.753985e-01  6.554491e-01  0.6554490622  0.621108707
#>  [3223,]  5.504942e-01  5.504942e-01  0.5504941617  0.550494162
#>  [3224,]  5.060829e-01  8.578825e-01  0.5060829497  0.506082950
#>  [3225,]  5.859559e-01  8.067839e-01  0.5859558858  0.806783881
#>  [3226,] -3.371060e-01  3.771046e-01 -0.0351482060  0.377104551
#>  [3227,] -9.400083e-02  6.994721e-02  0.3820186304  0.382018630
#>  [3228,]  5.956523e-01  2.516953e-01  0.0917063187  0.251695293
#>  [3229,]  4.648638e-01  4.648638e-01  0.4648637791  0.464863779
#>  [3230,]  6.055413e-01  6.055413e-01  0.6055412958  0.605541296
#>  [3231,]  6.086827e-01  6.086827e-01  0.6086827422  0.608682742
#>  [3232,]  6.880191e-01  6.880191e-01  0.6880190613  0.688019061
#>  [3233,]  4.495050e-02  7.421203e-01  0.7421202570  0.742120257
#>  [3234,]  1.271905e-01  6.795978e-01  0.6795977653  0.679597765
#>  [3235,]  4.512856e-03  3.433512e-01  0.3433512078  0.343351208
#>  [3236,]  5.456394e-01  5.456394e-01  0.5456394011  0.545639401
#>  [3237,]  4.155557e-01  4.155557e-01  0.4155556828  1.028573251
#>  [3238,] -2.093583e-03  1.003793e+00  1.0037929503  1.003792950
#>  [3239,]  5.964564e-01  5.964564e-01  0.5964564351  0.613908170
#>  [3240,]  3.425252e-01  5.821489e-01  0.6803294068  0.680329407
#>  [3241,] -8.929085e-02  7.190337e-01  0.7190336890  0.652865802
#>  [3242,]  3.524457e-01  3.524457e-01  0.3524457434  0.352445743
#>  [3243,]  4.358407e-01  4.850136e-01  0.4358407076  0.663914857
#>  [3244,]  3.787436e-01  5.687339e-01  0.5039063542  0.503906354
#>  [3245,]  6.256274e-01  2.477741e-01  0.2299317609  0.457464400
#>  [3246,]  5.593528e-01  4.023829e-01  0.2524687344  0.559352803
#>  [3247,]  3.651017e-01  5.240582e-01  0.3651017371  0.524058154
#>  [3248,]  8.559985e-02  5.961694e-01  0.5961693659  0.596169366
#>  [3249,] -5.045235e-02  5.681159e-01  0.5934706608  0.568115862
#>  [3250,]  1.977839e-01  6.038726e-01  0.4963165118  0.496316512
#>  [3251,]  5.710289e-01  5.894248e-01  0.5710289234  0.589424780
#>  [3252,] -1.477609e-01  3.222749e-01  0.5654779582  0.565477958
#>  [3253,]  1.219264e-01  6.501923e-01  0.6501922670  0.650192267
#>  [3254,]  2.905839e-03  8.268947e-01  0.2447090109  0.826894690
#>  [3255,]  3.693529e-01  3.693529e-01  0.3693528928  0.369352893
#>  [3256,]  5.117094e-01  5.117094e-01  0.5117093641  0.511709364
#>  [3257,]  4.085193e-01  3.652773e-01  0.5942834026  0.594283403
#>  [3258,]  6.821546e-02  6.253140e-01  0.6253140350  0.625314035
#>  [3259,]  4.158610e-02  4.236926e-01  0.4236925860  0.423692586
#>  [3260,]  2.686317e-01  6.345623e-01  0.2686317341  0.625025069
#>  [3261,]  5.929121e-01  4.769266e-01  0.4769265926  0.592912134
#>  [3262,] -1.769812e-01  6.393538e-01  0.6393537621  0.639353762
#>  [3263,]  1.203624e-01  2.963325e-01  0.6620190547  0.797610817
#>  [3264,]  1.204810e-01  7.521634e-01  0.7521634434  0.752163443
#>  [3265,]  3.244327e-01  7.963506e-01  0.7963506418  0.763981813
#>  [3266,]  5.354887e-02  5.354887e-02  0.4271262722  0.327699727
#>  [3267,]  1.694206e-01  4.157893e-01  0.4548785751  0.970816230
#>  [3268,] -3.293799e-02  7.600762e-01  0.4134935892  0.559995139
#>  [3269,]  4.279050e-01  7.342953e-01  0.5508100276  0.509484542
#>  [3270,]  8.321134e-03  8.765755e-01  0.8765755039  0.401302533
#>  [3271,] -3.118585e-01  6.317310e-01  0.6317309525  0.631730952
#>  [3272,]  5.253629e-01  5.253629e-01  0.5253628848  0.525362885
#>  [3273,]  2.868957e-01  2.868957e-01  0.3514595334  0.773411308
#>  [3274,] -1.169502e-02  3.354517e-01  0.3354516858  0.657556261
#>  [3275,]  2.255975e-01  2.255975e-01  0.2255975295  0.760967190
#>  [3276,]  5.586925e-01  6.451186e-01  0.6451185971  0.645118597
#>  [3277,]  5.169697e-01  4.067721e-01  0.9640160342 -0.106601606
#>  [3278,]  2.224797e-01  5.253434e-01  0.4089493226  0.525343429
#>  [3279,]  3.647944e-01  3.647944e-01  0.2949135320  0.364794435
#>  [3280,]  1.032110e-01  4.077602e-01  0.4450180319  0.301599504
#>  [3281,]  1.352751e-01  6.281581e-01  0.2225870188  0.965703517
#>  [3282,]  3.663813e-02  6.740058e-01  0.7016366563  0.787570546
#>  [3283,]  6.478480e-02  6.317365e-01  0.3047658804  0.484297025
#>  [3284,]  2.436353e-01  7.980438e-01  0.6577614931  0.826061898
#>  [3285,]  1.622226e-01  7.116223e-01  0.1518414181  0.509921910
#>  [3286,]  7.014042e-01  7.014042e-01  0.2368348885  0.701404228
#>  [3287,]  1.549008e-01  2.567004e-01 -0.0584796567  0.940980910
#>  [3288,] -8.951595e-02  8.871025e-01  0.4678243239  0.580234659
#>  [3289,]  6.232724e-02  6.426259e-01  0.7100652083  0.642625867
#>  [3290,]  2.241792e-01  5.155952e-01  0.7382145291  0.738214529
#>  [3291,] -1.846057e-02  5.120445e-01  0.5120444619  0.512044462
#>  [3292,]  4.826924e-01  4.826924e-01  0.6827250061  0.343726108
#>  [3293,]  2.410984e-01  2.410984e-01  0.5239808292  0.523980829
#>  [3294,] -3.691213e-01  3.678221e-01  0.7491968457  0.950193688
#>  [3295,]  1.627691e-01  6.764269e-01  0.8233157920  0.676426873
#>  [3296,]  1.065547e-01  5.453325e-01  0.9172624391  0.545332507
#>  [3297,]  5.288741e-01  5.288741e-01  0.5288741025  0.528874102
#>  [3298,]  6.875924e-01  6.875924e-01  0.6875923687  0.687592369
#>  [3299,]  2.622989e-01  6.673423e-01  0.2622989012  0.978348339
#>  [3300,] -1.526400e-01  4.488751e-01  0.4644779723  0.464477972
#>  [3301,]  8.898190e-03  6.057495e-01  0.6911260435  0.691126044
#>  [3302,] -3.203076e-01  5.859447e-01  0.5859446548  0.787337347
#>  [3303,] -1.229339e-01  5.946023e-01  0.6750705223  0.594602348
#>  [3304,]  4.959046e-01  4.959046e-01  0.2991926501  0.495904616
#>  [3305,]  5.924989e-01  5.339143e-01  0.5924988931  0.533914343
#>  [3306,]  2.577982e-01  2.577982e-01  0.2577981832  0.257798183
#>  [3307,]  1.436807e-01  1.436807e-01  0.1436807116  0.785412227
#>  [3308,]  3.461276e-01  5.264059e-01  0.5264059425  0.526405943
#>  [3309,]  6.642616e-01  6.642616e-01  0.7611024556  0.664261583
#>  [3310,] -4.428851e-02  6.514592e-01  0.8352482327  0.651459180
#>  [3311,] -1.010600e-02  4.122415e-01  0.4122415418  0.412241542
#>  [3312,] -4.406052e-02  2.697094e-01  0.5864054546  1.143969574
#>  [3313,] -1.573307e-01  3.753176e-01  0.4040628896  1.226833376
#>  [3314,] -1.613291e-01  5.064539e-01  0.2915949158  0.766918705
#>  [3315,] -1.967707e-01  4.839786e-01  0.3866887961  1.187434899
#>  [3316,]  4.991611e-01  4.797190e-01  0.4797189863  1.194423243
#>  [3317,]  7.191255e-02  7.191255e-02  0.7635827789  1.215665537
#>  [3318,] -7.928151e-02  2.861687e-01  0.6029861514  1.380318692
#>  [3319,]  2.325068e-01  5.737917e-01  0.3428023159  1.286593558
#>  [3320,]  4.152049e-01  7.607012e-01  0.4373796741  1.272242888
#>  [3321,] -9.787725e-02  8.067064e-01  0.2709395474  0.859246587
#>  [3322,]  1.336275e-01  9.326679e-01  0.6387666497  0.638766650
#>  [3323,]  5.038043e-01  8.594370e-01  0.8594370250  0.859437025
#>  [3324,]  5.802953e-01  5.802953e-01  0.5802953058  0.885962402
#>  [3325,] -1.459990e-01  6.530165e-01  0.6017225476  0.653016495
#>  [3326,]  2.599710e-01  4.576868e-01  0.4576867800  0.457686780
#>  [3327,]  2.544506e-01  3.385533e-01  0.3385532739  0.549389860
#>  [3328,]  3.678886e-01  3.678886e-01  0.3678886494  0.367888649
#>  [3329,]  4.944672e-01  4.944672e-01  0.4944672044  0.494467204
#>  [3330,]  3.853889e-01  4.134541e-01  0.4134540845  0.413454085
#>  [3331,]  4.377855e-01  4.377855e-01  0.5790528665  0.661299498
#>  [3332,]  1.831987e-02  5.231667e-01  0.5231667335  0.702426570
#>  [3333,] -7.121789e-02  7.391724e-01  0.6461498973  0.739172361
#>  [3334,] -2.402006e-01  1.722037e-01  0.1722036856  0.540314106
#>  [3335,]  1.445478e-01  3.112425e-01  0.1445478349  0.311242542
#>  [3336,]  7.473640e-01 -1.645351e-01  0.3312869642  0.747363959
#>  [3337,]  1.405020e-01  1.011533e+00  1.0362338019  0.703593584
#>  [3338,] -8.514483e-02  5.917265e-01  0.5530292474  0.470592992
#>  [3339,]  3.442000e-01  5.056876e-01  0.5693393420  0.741520683
#>  [3340,]  1.870665e-01  3.218219e-01  0.3218218607  0.616528337
#>  [3341,]  2.394978e-01  2.394978e-01  0.5716211763  0.571621176
#>  [3342,]  4.514174e-02  2.408911e-01  0.9773655038  0.977365504
#>  [3343,]  1.195985e-01  5.573820e-01  0.9677252096  1.027879978
#>  [3344,]  1.607819e-01  8.932117e-01  0.2957339793  0.886461925
#>  [3345,] -2.004718e-02  3.158195e-01  0.3158194733  0.972152827
#>  [3346,]  4.047374e-01  4.047374e-01  0.5849919722  0.404737412
#>  [3347,] -2.166013e-01  4.654646e-01  0.4654646067  0.804967964
#>  [3348,] -2.407214e-01  5.212388e-01  0.5212388237  0.521238824
#>  [3349,]  4.877839e-01  4.877839e-01  0.4877839218  0.487783922
#>  [3350,] -7.484270e-02  6.952068e-01  0.2289582256  0.269783985
#>  [3351,]  2.505714e-01  5.020813e-01  0.5020813317  0.250571428
#>  [3352,]  4.448422e-01  4.448422e-01 -0.2457744561  0.444842247
#>  [3353,]  1.798185e-01  3.646993e-01  0.3646993484  1.086137629
#>  [3354,] -4.451562e-01  7.054521e-01  0.7054521256  0.705452126
#>  [3355,] -1.519618e-01  5.674432e-01  0.6236130707  0.567443169
#>  [3356,]  7.930001e-02  5.581876e-01  0.1991161808  0.992264687
#>  [3357,]  2.002049e-01  6.648723e-01  0.2905120100  0.200204944
#>  [3358,]  3.759941e-02  3.759941e-02  0.0375994101  0.593165849
#>  [3359,] -3.520277e-01  3.808574e-01  0.7260406920  0.726040692
#>  [3360,]  2.025779e-01  2.025779e-01  0.4590034538  0.954047317
#>  [3361,]  2.061934e-01  3.978400e-01  0.7435146461  0.967993818
#>  [3362,]  1.683167e-01  6.265050e-01  0.4088707991  0.810425963
#>  [3363,]  1.732172e-01  4.314479e-01  0.4314479457  0.734061489
#>  [3364,]  2.345064e-01  6.220957e-01  0.2345064353  0.822500361
#>  [3365,]  2.192761e-01  8.211798e-01  0.2192760955  1.268882103
#>  [3366,]  5.013293e-01  1.485652e-01  1.1644382299  0.452270909
#>  [3367,]  8.372651e-01  4.750803e-01  0.4520482498  0.589076425
#>  [3368,]  5.855492e-01  3.556682e-01  0.7086542059  0.670152728
#>  [3369,]  3.708966e-01  8.843574e-01  0.3708965892  1.021179557
#>  [3370,]  2.489713e-01  2.489713e-01  0.2489712624  0.871169820
#>  [3371,]  3.196263e-01  3.196263e-01  0.3196263339  0.699754968
#>  [3372,]  1.514979e-01  5.669869e-01  0.7227278896  0.566986942
#>  [3373,]  4.257197e-01  4.257197e-01  0.4257197156  0.425719716
#>  [3374,]  4.193312e-01  4.193312e-01  0.4193311891  0.419331189
#>  [3375,]  3.553691e-01  3.206962e-01  0.3553690778  0.355369078
#>  [3376,]  4.526668e-01  4.526668e-01  0.4526667669  0.452666767
#>  [3377,]  3.673738e-01  3.673738e-01  0.3673738180  0.735058454
#>  [3378,]  3.447161e-01  6.614962e-01  0.7267836220  0.726783622
#>  [3379,]  2.235380e-02  6.010195e-01  0.6010194500  0.601019450
#>  [3380,]  3.799673e-01  3.799673e-01  0.3799673468  0.922133231
#>  [3381,]  4.311291e-01  6.100094e-01  0.7997841968  0.431129062
#>  [3382,]  4.479396e-01  4.479396e-01  0.4479396380  0.447939638
#>  [3383,]  5.659378e-01  5.659378e-01  0.5659378468  0.565937847
#>  [3384,]  4.097036e-01  4.097036e-01  0.4097035543  0.409703554
#>  [3385,] -1.041556e-01  6.569705e-01  0.1270139238  0.656970511
#>  [3386,]  7.364820e-02  7.364820e-02  0.0736482037  0.696066467
#>  [3387,]  5.724857e-01  5.724857e-01  0.5724857206  1.016254919
#>  [3388,]  1.233721e-01  5.617566e-01  0.3005684533  1.003465494
#>  [3389,]  2.179694e-01  7.236079e-01  0.3226254861  0.723607886
#>  [3390,]  2.649457e-01  2.649457e-01  0.2649457326  0.708940969
#>  [3391,]  2.598076e-01  5.934559e-01  0.5934558717  0.859648291
#>  [3392,]  2.316344e-01  9.499461e-01 -0.0660970902  0.879071745
#>  [3393,]  5.502452e-01  5.502452e-01  0.5502452266  0.504023664
#>  [3394,]  1.530128e-01  7.813475e-01  0.7813475009  0.781347501
#>  [3395,] -4.027412e-02  5.545561e-01  0.5545561011  0.904717438
#>  [3396,]  9.696987e-02  5.114124e-01  0.5114124301  0.831752918
#>  [3397,] -3.740157e-02  1.041734e+00  0.5780679060  0.578067906
#>  [3398,]  3.563478e-01  3.874114e-01  0.6640976923  0.664097692
#>  [3399,]  6.082275e-02  3.983510e-01  0.3983509733  0.520933236
#>  [3400,] -8.289324e-02  3.454401e-01  0.8937020073  0.893702007
#>  [3401,]  2.988122e-01  2.988122e-01  0.4366018522  1.035445182
#>  [3402,]  3.165056e-01  5.058838e-01  0.4953690142  0.660255927
#>  [3403,] -2.529791e-01  5.525814e-01  0.5525814132  0.660252199
#>  [3404,] -1.393997e-02  6.742012e-01  0.5713996778  0.571399678
#>  [3405,] -7.270412e-02  8.564268e-01  0.2510435654  0.856426785
#>  [3406,] -9.248857e-02  5.574944e-01  0.5608679013  0.557494429
#>  [3407,]  5.796197e-01  1.746873e-01  0.3347759780  0.704893508
#>  [3408,]  1.333083e-01  5.228485e-01  0.6169544958  0.616954496
#>  [3409,] -1.638625e-01  2.223552e-01  0.4759622169  0.650487854
#>  [3410,]  2.693045e-02  2.533255e-01  0.6329833628  0.253325515
#>  [3411,] -2.136430e-01  7.678309e-01  0.7678309448  0.767830945
#>  [3412,]  1.610640e-01  5.653224e-01  0.5653223688  1.218679967
#>  [3413,] -3.124383e-01  4.172721e-01  0.4172720707  0.417272071
#>  [3414,]  5.942140e-01  5.561431e-01  0.5942139649  0.594213965
#>  [3415,]  5.118230e-01  7.114604e-01  0.7114603609  0.711460361
#>  [3416,]  3.550761e-01  3.550761e-01  0.3550760531  0.687113118
#>  [3417,]  3.765256e-01  4.007422e-01  0.3765256149  0.530237620
#>  [3418,]  5.159090e-01  1.784380e-01  0.1571054358  1.001651787
#>  [3419,] -1.061689e+00  3.355291e-01  0.2342863770  0.680756030
#>  [3420,] -4.713201e-01  4.988491e-01  0.3122899293  0.964258255
#>  [3421,]  2.579343e-01  2.969131e-01  0.6106238311  0.296913054
#>  [3422,]  2.051551e-01  8.460116e-01  0.2051551345  0.769841232
#>  [3423,]  1.035966e-01  4.500452e-01  0.7689031592  0.578447348
#>  [3424,]  2.215625e-02  4.193360e-01  0.4344998898  0.434499890
#>  [3425,]  1.228481e-01  8.990922e-01  0.5165314479  0.443790827
#>  [3426,]  2.037508e-01  2.037508e-01  0.2037508304  0.963183488
#>  [3427,]  1.725426e-01  3.044646e-01  0.1725425904  1.101896258
#>  [3428,]  5.362935e-01  6.362153e-01  0.4014368319  0.904284751
#>  [3429,]  6.780828e-01  4.965370e-01  0.6780828461  0.678082846
#>  [3430,]  5.345666e-01  6.784340e-01  0.5345665588  0.153467331
#>  [3431,]  1.086015e-01  8.083505e-01  0.1086014605  0.808350458
#>  [3432,]  3.888575e-01  4.536569e-01  0.4536568873  0.919366087
#>  [3433,]  1.696533e-01  6.171568e-01  0.1696533265  0.169653327
#>  [3434,]  5.877781e-02  4.761600e-01 -0.0019589435  0.058777811
#>  [3435,] -1.840125e-01  3.332581e-01  0.6907225184  0.333258066
#>  [3436,] -6.691126e-02  1.596218e-01  0.5094839676  0.428449843
#>  [3437,]  1.992251e-01  8.482473e-01  0.2169219729  0.737732814
#>  [3438,]  1.356033e-01  2.845111e-01  0.5626867891  0.792554211
#>  [3439,]  4.781014e-02  7.319823e-01  0.8334726144  0.830606296
#>  [3440,]  2.509859e-02  6.731054e-01  0.6731053992  1.019785714
#>  [3441,] -2.032775e-02  4.328491e-01  0.4328491387  1.116852845
#>  [3442,] -1.512493e-02  6.202431e-01  0.6202430935  1.117721163
#>  [3443,]  3.896858e-02  7.905794e-01  0.1499037836  0.442050942
#>  [3444,]  9.197871e-02  6.652701e-01  0.6652700687  0.665270069
#>  [3445,]  1.757109e-01  6.950565e-01  0.6950565147  0.695056515
#>  [3446,]  6.226745e-01  6.226745e-01  0.6226745385  0.993359911
#>  [3447,]  4.205686e-01  4.205686e-01  0.4103812147  1.061819652
#>  [3448,]  3.418353e-01  3.418353e-01  0.3419860734  0.341986073
#>  [3449,]  4.041626e-01  4.041626e-01  0.4041625937  0.738254068
#>  [3450,]  3.275646e-01  3.275646e-01  0.3002733004  0.300273300
#>  [3451,]  4.958915e-01  4.958915e-01  0.4958914723  0.495891472
#>  [3452,]  5.493272e-01  5.493272e-01  0.5493272010  0.549327201
#>  [3453,]  3.656554e-01  3.656554e-01  0.3656553891  0.365655389
#>  [3454,] -2.360604e-01  5.456254e-01  0.5456254308  1.047335197
#>  [3455,]  1.200951e-01  4.792062e-01  0.9186306239  0.461297096
#>  [3456,]  1.835519e-01  5.715469e-01  0.5715469078  0.593745957
#>  [3457,]  1.729166e-01  1.729166e-01  0.5071882742  0.172916604
#>  [3458,] -3.677271e-02  3.639625e-01  0.6007775142  0.600777514
#>  [3459,] -2.656458e-01  7.299319e-01  0.7299319125  0.729931912
#>  [3460,]  5.456095e-02  7.619966e-01  0.5664531403  0.566453140
#>  [3461,]  1.005650e-01  6.192680e-01  0.6192680056  0.619268006
#>  [3462,]  5.669532e-01  5.669532e-01  0.5669532047  0.566953205
#>  [3463,]  4.703982e-01  4.703982e-01  0.4703981568  0.936479928
#>  [3464,]  2.032779e-01  8.055418e-01  0.8055417919  0.805541792
#>  [3465,]  2.419260e-01  5.748968e-01  0.2419260245  0.760799514
#>  [3466,]  3.086538e-01  3.086538e-01  0.1131437801  0.617240918
#>  [3467,]  6.686684e-01  1.695316e-01  0.6686683733  0.668668373
#>  [3468,]  3.861567e-01  5.256925e-01  0.3861566713  0.386156671
#>  [3469,]  4.401075e-01  4.401075e-01  0.4401074571  0.746457425
#>  [3470,] -1.213997e-01  7.274881e-01  0.7274881480  0.727488148
#>  [3471,]  7.121551e-01  7.121551e-01  0.7121551440  0.712155144
#>  [3472,]  2.250786e-01  1.010472e+00  0.2250786324  1.010471843
#>  [3473,]  4.302616e-01  4.302616e-01  0.4302615924  0.615765445
#>  [3474,]  5.238463e-01  2.362529e-01  0.2362529333  0.236252933
#>  [3475,]  7.666342e-02  4.352000e-01  0.5762676161  0.435199954
#>  [3476,] -3.040562e-01  4.493193e-01  0.4404071153  0.449319302
#>  [3477,]  8.794206e-02  6.024188e-01  0.4569420667  0.602418820
#>  [3478,]  1.442134e-01  5.634689e-01  0.3973966118  0.870627069
#>  [3479,]  4.003313e-01  4.003313e-01  0.4003313073  0.660463826
#>  [3480,]  3.202578e-01  5.646273e-01  0.3202577819  0.614265490
#>  [3481,]  3.915792e-01  6.505974e-01  0.6505974397  0.650597440
#>  [3482,]  4.320651e-01  4.320651e-01  0.4320650762  0.432065076
#>  [3483,]  1.359563e-01  4.763771e-01  0.1359562937  0.476377050
#>  [3484,]  1.894788e-01  5.912181e-01  0.5912180610  0.591218061
#>  [3485,]  6.122032e-01  6.122032e-01  0.6122032310  0.612203231
#>  [3486,]  4.236130e-01  4.236130e-01  0.2922576883  0.423613043
#>  [3487,]  2.951912e-01  1.908827e-01  0.6258413678  0.625841368
#>  [3488,]  5.143780e-01  1.746215e-01  0.5143780013  0.261007687
#>  [3489,]  2.897898e-01  5.850418e-01  0.5922597903  0.585041785
#>  [3490,]  5.417740e-01  5.417740e-01  0.4797472786  0.541774003
#>  [3491,]  5.434355e-01  5.434355e-01  0.5434354585  0.543435459
#>  [3492,]  5.472909e-01  5.472909e-01  0.5472908716  0.547290872
#>  [3493,]  4.909929e-01  4.909929e-01  0.4909928771  0.490992877
#>  [3494,]  5.126988e-01  5.126988e-01  0.5126987989  0.512698799
#>  [3495,]  3.307723e-01  3.307723e-01  0.3307722983  0.330772298
#>  [3496,]  2.756261e-01  2.756261e-01  0.2756261355  0.434000084
#>  [3497,]  3.370036e-01  3.370036e-01  0.8420226573  0.337003640
#>  [3498,]  1.883028e-01  6.579433e-01  0.1883027951  0.657943346
#>  [3499,]  4.163947e-01  4.323307e-01  0.4323306593  0.416394737
#>  [3500,]  4.123872e-01  4.149972e-01  0.4123872474  0.412387247
#>  [3501,]  3.648360e-01  9.307593e-02  0.0930759288  0.776586378
#>  [3502,]  4.103467e-01  4.103467e-01  0.4103467019  0.410346702
#>  [3503,]  2.995912e-01  7.545054e-01  0.7545053562  0.754505356
#>  [3504,]  3.446954e-01  3.446954e-01  0.3446953838  0.901232076
#>  [3505,]  2.089122e-01  2.089122e-01  0.5732726460  0.642667759
#>  [3506,]  2.600281e-01  2.600281e-01  0.4064948158  0.406494816
#>  [3507,]  1.643164e-01  4.173263e-01  0.4173263045  0.951395674
#>  [3508,]  3.780676e-01  6.052581e-01  0.6052581087  0.605258109
#>  [3509,]  6.805735e-01  6.805735e-01  0.6805735192  0.680573519
#>  [3510,] -9.471828e-01  8.024460e-01  0.8292024452  0.829202445
#>  [3511,] -9.393227e-02  4.831554e-01  1.0028797424  1.002879742
#>  [3512,]  4.262619e-01  4.262619e-01  0.3256044494  0.325604449
#>  [3513,]  4.093756e-01  4.093756e-01  0.4093756222  0.409375622
#>  [3514,]  4.676208e-01  4.676208e-01  0.4676208015  0.467620802
#>  [3515,]  7.037560e-01  7.037560e-01  0.7037559606  0.703755961
#>  [3516,]  3.222559e-01  3.222559e-01  0.3222558922  0.640647443
#>  [3517,]  3.725363e-01  5.973969e-01  0.3725362778  0.906591062
#>  [3518,]  2.586691e-01  4.907019e-01  0.2586691115  0.258669112
#>  [3519,]  5.878015e-01 -5.320931e-04  0.5878015134  0.587801513
#>  [3520,]  1.356571e-01  6.571299e-01  0.6271860582  0.627186058
#>  [3521,]  3.697506e-01  7.288256e-01  0.2157435940  0.871885794
#>  [3522,]  3.324001e-01  5.610164e-01  0.3324001257  0.561016436
#>  [3523,]  1.125195e-01  3.786016e-03  0.1302509548  1.057166525
#>  [3524,]  7.175008e-02  3.669444e-01  0.8497314762  1.109011410
#>  [3525,]  6.516878e-02  4.530076e-01  0.8628812163  0.862881216
#>  [3526,]  3.434743e-01  7.242492e-01  0.7242492220  0.724249222
#>  [3527,]  4.633827e-01  4.387383e-01  0.4387383037  0.816915500
#>  [3528,]  4.901991e-01  3.804330e-01  0.4901991351  0.490199135
#>  [3529,]  4.714223e-01  4.328285e-01  0.4328284808  0.432828481
#>  [3530,]  5.943953e-01  5.943953e-01  0.2555044886  0.594395281
#>  [3531,]  2.054146e-01  8.157142e-02  0.7311977466  0.961017167
#>  [3532,]  2.676143e-01  3.068206e-01  0.4169749632  0.957172802
#>  [3533,]  1.441816e-01  1.081225e-01  0.1441816239  0.675713325
#>  [3534,]  1.874921e-01  1.874921e-01  0.1874921111  0.762985427
#>  [3535,]  1.357389e-01  3.829755e-01  0.1357388994  0.279379933
#>  [3536,]  6.191756e-01  6.191756e-01  0.5319874405  0.841904664
#>  [3537,]  4.293483e-01  4.293483e-01  0.3343330695  0.657627420
#>  [3538,]  6.088810e-01  3.099120e-01  1.0153482702  0.608881049
#>  [3539,]  5.234705e-01  8.948575e-01  0.8948575480  0.523470458
#>  [3540,]  3.031405e-01  6.928163e-01  0.9622656433  0.962265643
#>  [3541,]  3.308575e-01  5.414582e-01  0.5414581842  1.096276881
#>  [3542,]  3.273662e-01  3.273662e-01  0.3273662396  1.267168328
#>  [3543,]  4.700668e-01  4.700668e-01  0.2311984531  0.470066787
#>  [3544,]  1.929310e-01  6.907481e-01  0.7775031958  0.777503196
#>  [3545,]  3.836518e-01  5.112207e-01  0.7527477066  0.750979459
#>  [3546,]  3.439326e-02  4.791823e-01  0.7121170638  0.595036616
#>  [3547,]  1.056269e-01  6.586019e-01  0.5656255819  0.565625582
#>  [3548,] -3.762638e-02  5.881865e-01  0.5881865467  0.580800658
#>  [3549,]  5.644398e-01  5.644398e-01  0.5644397853  0.564439785
#>  [3550,]  1.356857e-01  5.622264e-01  0.5679155841  0.562226363
#>  [3551,]  2.278711e-01  6.547347e-01  0.5054263593  0.654734692
#>  [3552,]  2.819230e-01  4.200324e-01  0.4292042459  0.429204246
#>  [3553,]  3.757864e-01  3.757864e-01  0.3757864118  0.375786412
#>  [3554,]  2.724945e-01  2.724945e-01  0.2724944551  0.822939075
#>  [3555,]  5.272048e-01  6.745140e-01  0.0292749902  0.674513999
#>  [3556,]  4.112602e-01  4.112602e-01  0.6655962198  0.411260184
#>  [3557,]  7.975892e-02  9.368890e-01  0.4537159443  0.936888961
#>  [3558,]  1.705456e-01  1.705456e-01  0.4469848413  0.645317549
#>  [3559,]  2.553099e-01  4.294283e-01  0.4294283204  0.701830227
#>  [3560,]  3.308884e-01  1.220328e-01  0.1220327728  0.330888373
#>  [3561,]  2.517207e-01  2.517207e-01  0.2517206729  0.518805410
#>  [3562,]  3.210154e-01  5.344443e-01  0.5344442735  0.534444274
#>  [3563,]  3.300815e-01  5.077621e-01  0.5077620992  0.507762099
#>  [3564,]  3.235744e-01  3.235744e-01  0.3235743833  0.323574383
#>  [3565,]  5.400402e-01  5.400402e-01  0.5400402424  0.540040242
#>  [3566,]  3.486024e-01  7.693990e-01  0.3486024241  0.390037657
#>  [3567,]  4.234839e-01  7.703843e-01  0.4234838792  0.770384269
#>  [3568,]  6.991092e-01  7.777984e-01  0.6991091663  0.699109166
#>  [3569,]  7.608713e-01  7.608713e-01  0.7608712744  0.760871274
#>  [3570,]  5.544953e-01  5.544953e-01  0.7507987633  0.750798763
#>  [3571,]  3.755983e-01  6.953621e-01  0.3755983224  0.695362083
#>  [3572,]  3.667908e-01  8.368533e-01  0.8368532709  0.594301729
#>  [3573,]  3.700259e-01  3.700259e-01  0.3700259424  0.370025942
#>  [3574,]  8.517157e-02  4.367179e-01  0.0851715694  0.085171569
#>  [3575,] -1.718139e-01  7.278785e-01  0.6855809077  0.727878519
#>  [3576,] -3.343794e-02  5.210348e-01  0.3689904976  0.521034795
#>  [3577,]  4.825776e-01  4.825776e-01  0.4825776214  0.482577621
#>  [3578,]  4.668559e-01  4.668559e-01  0.4668559307  0.466855931
#>  [3579,]  5.228707e-01  5.228707e-01  0.5228707273  0.522870727
#>  [3580,]  5.436353e-01  5.436353e-01  0.5436352646  0.543635265
#>  [3581,]  5.446745e-01  5.446745e-01  0.5446745247  0.544674525
#>  [3582,]  2.879873e-01  2.879873e-01  0.6641053857  0.664105386
#>  [3583,]  4.290151e-01  5.598321e-01  0.4290150895  0.559832084
#>  [3584,]  2.105123e-01  8.330918e-01  0.3024736036  0.833091801
#>  [3585,]  3.823994e-01  5.231765e-01  0.1187594795  0.914332229
#>  [3586,]  2.813027e-01  4.983071e-01  0.4983070861  0.860772896
#>  [3587,]  1.728585e-01  1.016355e+00  0.8072474106  0.807247411
#>  [3588,]  3.147505e-01  9.295369e-01  0.2257497053  0.713096173
#>  [3589,]  6.277465e-01  7.582989e-01  0.5718477020  0.565919865
#>  [3590,]  3.641780e-01  3.557860e-01  0.5199196776  0.606964823
#>  [3591,]  3.983194e-01  2.494635e-01  0.6315227330  0.831055029
#>  [3592,]  1.820801e-01  3.898607e-01  0.5734264775  1.012287309
#>  [3593,]  1.501842e-01  8.947665e-01  0.3805078716  0.813667472
#>  [3594,]  3.950923e-01  3.950923e-01  0.4834123618  0.677750626
#>  [3595,] -1.172109e-01  4.315332e-01  0.4315331944  0.607519242
#>  [3596,] -1.825965e-01  8.152790e-01  0.4029859944  0.815279004
#>  [3597,]  6.762550e-02  6.230386e-01  0.7375950045  0.623038645
#>  [3598,] -1.100952e-01  7.190353e-01  0.5190230299  0.550009447
#>  [3599,] -1.097820e-01  8.791108e-01  0.4323407467  0.544898174
#>  [3600,]  2.699141e-01  4.712524e-01  0.5321521035  0.269914117
#>  [3601,]  2.788421e-01  2.788421e-01  0.8193345874  0.278842103
#>  [3602,]  4.838379e-01  5.577644e-01  0.4838378711  0.557764350
#>  [3603,]  2.897960e-02  4.442362e-01  0.4442361868  0.444236187
#>  [3604,]  7.680466e-02  5.155670e-01  0.1631839072  0.515566990
#>  [3605,]  6.404338e-03  5.586274e-01  0.5586274372  0.558627437
#>  [3606,]  2.037290e-01  6.529248e-01  0.5156821113  0.652924801
#>  [3607,]  1.658221e-01  5.667079e-01  0.1658220945  0.364224428
#>  [3608,]  5.243183e-01  5.243183e-01  0.5243182936  0.524318294
#>  [3609,] -4.957168e-02  5.785362e-01  0.6233627430  0.546125521
#>  [3610,]  3.914465e-01  3.914465e-01  0.1507997732  0.150799773
#>  [3611,]  2.155717e-01  3.120075e-01  0.3120075270  0.312007527
#>  [3612,] -2.151842e-01  5.422747e-01  0.5422747351  0.542274735
#>  [3613,]  4.436711e-01  4.436711e-01  0.4436710877  0.443671088
#>  [3614,]  6.274047e-01  6.274047e-01  0.6274046717  0.627404672
#>  [3615,]  6.503155e-01  6.503155e-01  0.6503155178  0.650315518
#>  [3616,]  1.913609e-01  5.602770e-01  1.0242406129  0.465844305
#>  [3617,]  1.442350e-01  7.363198e-01  0.7363197901  0.455537669
#>  [3618,]  1.728141e-01  1.728141e-01  0.1728141282  0.715561013
#>  [3619,]  9.023313e-02  3.572850e-01  0.3572849554  0.975231875
#>  [3620,] -2.416496e-01  4.678941e-01  0.4678941000  0.649472710
#>  [3621,]  3.327816e-01  3.327816e-01  0.7909046950  0.790904695
#>  [3622,]  4.803321e-01  1.039234e+00  0.4803321212  1.039233613
#>  [3623,]  5.108084e-01  5.108084e-01  0.5108084387  0.510808439
#>  [3624,]  2.041538e-01  2.041538e-01  0.2041538053  0.631497460
#>  [3625,]  4.534170e-02  7.626364e-01  0.7626363866  0.762636387
#>  [3626,]  3.841311e-03  5.285159e-01  0.5285159002  0.528515900
#>  [3627,]  3.273319e-03  6.812946e-01  0.6812946237  0.681294624
#>  [3628,] -2.271226e-01  8.747162e-01  0.8747161971  0.951400696
#>  [3629,]  1.985032e-01  1.985032e-01  0.8539294942  0.608386373
#>  [3630,] -3.989818e-02  5.958248e-01  0.4462361143  0.595824826
#>  [3631,] -5.184595e-01  3.737358e-01  0.5771493161  0.373735760
#>  [3632,]  9.402995e-02  4.840837e-01  0.4701043764  0.484083686
#>  [3633,]  5.019689e-01  4.802292e-01  0.1831949411  0.752316946
#>  [3634,]  4.442709e-01  4.442709e-01  0.4442709424  0.444270942
#>  [3635,]  4.488828e-01  1.546332e-01  0.4488828027  0.448882803
#>  [3636,] -5.186517e-01  4.643508e-01  0.2300729179  0.405481693
#>  [3637,]  2.774902e-01  4.134584e-01  0.4340501445  0.350336945
#>  [3638,]  4.111021e-01  7.107799e-01  0.7107799395  0.411102127
#>  [3639,]  1.070811e-01  5.241107e-01  1.0717175965  0.664125731
#>  [3640,]  1.178661e-01  6.353093e-01  0.7774085433  0.556457931
#>  [3641,]  6.058664e-02  6.185557e-01  0.0605866438  0.503616374
#>  [3642,]  5.821221e-01  5.821221e-01  0.5821220835  0.523084920
#>  [3643,] -2.092956e-01  9.054668e-01  0.8818273238  0.731814913
#>  [3644,] -2.944063e-01  7.840968e-01  0.5195194650  0.557492863
#>  [3645,]  1.391615e-01  3.709475e-01  0.4394809569  0.439480957
#>  [3646,] -2.347993e-01  3.491139e-01  0.8057116378  0.805711638
#>  [3647,]  6.279826e-02  4.986371e-01  0.4986371186  0.665433446
#>  [3648,]  4.368155e-01  6.677423e-01  0.3188179573  0.667742343
#>  [3649,]  4.329125e-01  5.785836e-01  0.4329124900  0.570028901
#>  [3650,]  4.051951e-01  4.051951e-01  0.4051950781  0.656370291
#>  [3651,]  3.137348e-01  7.312415e-01  0.3137348356  0.731241466
#>  [3652,]  2.558445e-01  1.728787e-01  0.2296258656  0.172878670
#>  [3653,]  3.500983e-01  3.500983e-01  0.3500982504  0.804929882
#>  [3654,]  1.581775e-01  5.280575e-01  0.3476076205  0.862973292
#>  [3655,]  2.229115e-01  2.229115e-01  0.2229114925  0.653637466
#>  [3656,]  1.991313e-01  6.302700e-01  0.6302699686  0.586723110
#>  [3657,]  2.779206e-01  4.682682e-01  0.4530475425  0.453047542
#>  [3658,]  4.666546e-01  4.666546e-01  0.4666545800  0.466654580
#>  [3659,]  2.843908e-01  2.843908e-01  0.2843907617  0.284390762
#>  [3660,]  5.528556e-01  5.528556e-01  0.5528556204  0.637339496
#>  [3661,]  6.484198e-01  5.662206e-01  0.6484197750  0.648419775
#>  [3662,]  5.422944e-01  5.422944e-01  0.5422943880  0.542294388
#>  [3663,]  3.375715e-01  3.651130e-01  0.3375715333  0.337571533
#>  [3664,]  4.044513e-01  4.044513e-01  0.5784565950  0.404451258
#>  [3665,]  3.914795e-01  5.277126e-01  0.3914795435  0.728874051
#>  [3666,]  3.687952e-01  7.083174e-01  0.7623915024  0.708317373
#>  [3667,]  5.145450e-02  9.198871e-01  0.6463342372  0.611783958
#>  [3668,] -1.315300e-02  8.227414e-01  1.0816560468  0.456296239
#>  [3669,]  2.220785e-01  7.689573e-01  0.6056186482  0.768957343
#>  [3670,]  1.598414e-01  3.010543e-01  0.1598413515  0.722213636
#>  [3671,]  3.068186e-02  5.476092e-01  0.5476092147  0.547609215
#>  [3672,]  1.519884e-01  4.836429e-01  0.5508754220  0.483642945
#>  [3673,]  5.213054e-01  5.213054e-01  0.5213054398  0.677369186
#>  [3674,]  6.105930e-01  6.105930e-01  0.6105929650  0.853143685
#>  [3675,]  5.003890e-01  5.003890e-01  0.5003889988  0.500388999
#>  [3676,]  2.784845e-01  2.784845e-01  0.2784844626  0.648571281
#>  [3677,]  5.101094e-03  5.755649e-01  0.5755648602  0.575564860
#>  [3678,]  1.283444e-01  7.155767e-01  0.7155766871  0.715576687
#>  [3679,] -1.873369e-01  6.698741e-01  0.3170538319  0.317053832
#>  [3680,]  4.430085e-01  5.307135e-01  0.4430085201  0.530713547
#>  [3681,] -3.592022e-01  7.654220e-01  0.1786190113  0.823315379
#>  [3682,] -1.844966e-01  8.265650e-01  0.5829825189  0.582982519
#>  [3683,]  6.583163e-01  6.583163e-01  0.6583162680  0.658316268
#>  [3684,] -1.632876e-02  4.733736e-01  0.8402543848  0.749738707
#>  [3685,] -1.704361e-01  6.114826e-01  0.6229983663  1.054845166
#>  [3686,]  1.427947e-01  5.632263e-01  0.2801805341  0.563226282
#>  [3687,]  2.799700e-01  5.738101e-01  0.2799700191  0.676515941
#>  [3688,]  3.591132e-01  6.036730e-01  0.3591131965  0.515445417
#>  [3689,]  2.510250e-01  3.182708e-01  0.3182708237  0.251025050
#>  [3690,]  6.231772e-01  6.231772e-01  0.6231772246  0.623177225
#>  [3691,]  6.768955e-01  6.768955e-01  0.4576959003  0.676895511
#>  [3692,]  4.464808e-01  9.022990e-01  0.9022989756  0.902298976
#>  [3693,] -3.949421e-01  3.558047e-01  0.3558046930  0.890362516
#>  [3694,]  5.610585e-01  5.971990e-01  1.0457088166  1.045708817
#>  [3695,]  3.380788e-01  3.380788e-01  0.3380787537  1.087560512
#>  [3696,]  1.279396e-01  4.859350e-01  0.3212258350  0.882364122
#>  [3697,]  3.250288e-01  3.546840e-01  0.7124079728  0.754685724
#>  [3698,]  1.171216e-01  4.418201e-01  0.1171215683  1.038768724
#>  [3699,] -3.469512e-01  5.812709e-01  0.6912059726  0.508185010
#>  [3700,] -2.152344e-01  1.048387e+00  0.5395306152  0.894607690
#>  [3701,]  3.306961e-01  3.306961e-01  0.0126854239  0.698553127
#>  [3702,]  5.121361e-01  5.121361e-01  0.3629700482  0.498861719
#>  [3703,] -2.383151e-01  5.046076e-01  0.1387659314  0.532862366
#>  [3704,]  3.162693e-01  2.989288e-01  0.3941342290  0.938251101
#>  [3705,]  5.255252e-01  4.869686e-01  0.2298267723  1.041204379
#>  [3706,] -9.211084e-02  5.040176e-01  0.5040175540  1.015378622
#>  [3707,]  2.422436e-01  2.422436e-01  0.6265261132  0.626526113
#>  [3708,]  6.397417e-01  6.397417e-01  0.6397416789  0.639741679
#>  [3709,] -4.095084e-01  2.595468e-01  0.2595468330  0.259546833
#>  [3710,]  2.811884e-01  2.811884e-01  0.2811884136  0.281188414
#>  [3711,]  1.733767e-01  2.169540e-01  0.3323080233  0.332308023
#>  [3712,]  8.015285e-02  4.074797e-01  0.4799327677  0.479932768
#>  [3713,]  4.205353e-01  4.205353e-01  0.4205353176  0.733062169
#>  [3714,]  7.168761e-01  7.168761e-01  0.7168760902  0.716876090
#>  [3715,]  2.308251e-01  2.308251e-01  0.5005826557  0.633102943
#>  [3716,]  3.743187e-01  5.890304e-01  0.8258417811  0.825841781
#>  [3717,]  9.716006e-01  5.952478e-01  0.5952478008  0.815812231
#>  [3718,]  3.428307e-01  3.428307e-01  0.3428307434  0.342830743
#>  [3719,]  3.888929e-01  3.888929e-01  0.3888928610  0.388892861
#>  [3720,]  2.021618e-01  2.021618e-01  0.2021617624  0.202161762
#>  [3721,]  1.977822e-01  1.977822e-01  0.1977822306  0.517703189
#>  [3722,]  6.046383e-01  6.046383e-01  0.6046382802  0.604638280
#>  [3723,]  6.478904e-01  6.478904e-01  0.6478903877  0.647890388
#>  [3724,]  6.604357e-01  6.604357e-01  0.6604357119  0.660435712
#>  [3725,]  6.043644e-01  6.043644e-01  0.6043644268  0.604364427
#>  [3726,]  5.351650e-01  5.351650e-01  0.5351650229  0.535165023
#>  [3727,]  2.922767e-01  2.922767e-01  0.2922767137  0.633981670
#>  [3728,]  4.635015e-01  4.635015e-01  0.4635014743  0.463501474
#>  [3729,]  1.007952e-02  6.117691e-01  0.6117691299  0.611769130
#>  [3730,]  9.877728e-02  7.581733e-01  0.7581733086  0.758173309
#>  [3731,]  2.382849e-01  8.138688e-01  0.8138687942  0.742195898
#>  [3732,] -6.230963e-02  7.509552e-01  0.7509552064  0.750955206
#>  [3733,] -5.553668e-02  5.931627e-01 -0.0135168508  0.593162655
#>  [3734,]  4.443244e-01  4.443244e-01 -0.1174079160  0.444324425
#>  [3735,]  5.025267e-01  5.025267e-01  0.5025267358  0.502526736
#>  [3736,]  1.661791e-01  5.031800e-01  0.5031800455  0.503180045
#>  [3737,]  4.097257e-01  4.097257e-01  0.4097257312  0.409725731
#>  [3738,]  3.140969e-01  3.140969e-01  0.3140968923  0.314096892
#>  [3739,]  1.356023e-01  6.774117e-01  0.6774116986  0.677411699
#>  [3740,]  9.478867e-02  7.030166e-01  0.5751786905  0.703016620
#>  [3741,]  4.550952e-01  4.550952e-01  0.4550952395  0.165614480
#>  [3742,]  2.097099e-01  5.390098e-01  0.2097098526  0.617002751
#>  [3743,]  3.630805e-01  3.630805e-01  0.6780338239  0.147498119
#>  [3744,]  3.870799e-01  3.870799e-01  0.3870798811  0.387079881
#>  [3745,] -1.876751e-01  8.255446e-01  0.8255446490  0.825544649
#>  [3746,] -4.149553e-03  6.973487e-01  0.2675228266  0.697348740
#>  [3747,] -1.425301e-01  4.302337e-01  0.4302337499  0.430233750
#>  [3748,]  3.949140e-02  3.716557e-01  0.6370011792  0.637001179
#>  [3749,]  2.135447e-01  5.363403e-01  0.5363403276  0.536340328
#>  [3750,]  4.377172e-01  7.090366e-01  0.4153987171  0.801956480
#>  [3751,] -2.471494e-02  4.185866e-01  0.2516081165  1.022778461
#>  [3752,]  1.064515e-01  6.300028e-01  0.2833743265  0.968683568
#>  [3753,]  2.154253e-01  3.670875e-01  1.0269206643  0.684776938
#>  [3754,]  1.159877e-01  4.649502e-01  0.8338113099  0.833811310
#>  [3755,]  6.157225e-01  2.171922e-01  0.9671361128  0.967136113
#>  [3756,]  4.215716e-01  4.215716e-01  0.4215716306  0.830860649
#>  [3757,]  3.764652e-02  4.251595e-01  0.9442348171  0.944234817
#>  [3758,]  4.056548e-01  4.056548e-01  0.4056547814  0.405654781
#>  [3759,]  2.811184e-01  2.811184e-01  0.2811183787  0.281118379
#>  [3760,]  3.434045e-01  3.434045e-01  0.3434045462  0.343404546
#>  [3761,]  5.576987e-01  5.576987e-01  0.5576986535  0.557698654
#>  [3762,]  3.127149e-01  3.127149e-01  0.6269113848  0.626911385
#>  [3763,]  4.234336e-01  4.240809e-01  0.4234335683  0.423433568
#>  [3764,]  3.398837e-01  6.587559e-01  0.3398836733  0.610500917
#>  [3765,]  5.047796e-01  5.047796e-01  0.5047795941  0.504779594
#>  [3766,]  3.795478e-01  3.795478e-01  0.0439688369  0.379547789
#>  [3767,]  6.227001e-01  6.227001e-01  0.6227000610  0.622700061
#>  [3768,]  2.060379e-01  2.060379e-01  0.2060378611  0.206037861
#>  [3769,]  3.246740e-01  3.246740e-01  0.3246740259  0.345051616
#>  [3770,]  5.544351e-01  5.544351e-01  0.5544350853  0.613469519
#>  [3771,] -2.489709e-01  4.698366e-01  0.4698365690  0.469836569
#>  [3772,]  3.357427e-01  6.695899e-01  0.6077440883  0.669589895
#>  [3773,]  4.686334e-01  4.686334e-01  0.7402217848  0.468633448
#>  [3774,] -1.892598e-01  5.721075e-01  0.5721074915  0.572107492
#>  [3775,] -1.096106e-01  5.094230e-01  0.5094230324  0.509423032
#>  [3776,] -1.458627e-02  6.242445e-01  0.6008413891  0.624244467
#>  [3777,]  3.283599e-01  5.134066e-01  0.3283598580  0.328359858
#>  [3778,]  1.086270e-01  7.629755e-01  0.7629755267  0.762975527
#>  [3779,]  4.991106e-01  4.991106e-01  0.4991105696  0.722214288
#>  [3780,] -2.331595e-01  7.998486e-01  0.3014178742  0.799848568
#>  [3781,]  1.670959e-01  1.670959e-01  0.1670958995  0.167095900
#>  [3782,]  5.226386e-01  5.226386e-01  0.5226386490  0.522638649
#>  [3783,]  2.396678e-01  2.396678e-01  0.2396677638  0.239667764
#>  [3784,]  1.696713e-01  1.696713e-01  0.7041080568  0.360085358
#>  [3785,]  1.626445e-01  2.150190e-01  0.7259001309  0.725900131
#>  [3786,]  4.508330e-01  4.508330e-01  0.7444725253  1.071261361
#>  [3787,]  6.193713e-02  5.471335e-01  0.7771509277  1.054999336
#>  [3788,]  2.559620e-01  7.636231e-01  0.2559619901  0.797396212
#>  [3789,]  9.956150e-02  8.457255e-01  0.2961229318  0.845725511
#>  [3790,]  3.467690e-01  3.467690e-01  0.3467690309  0.858490959
#>  [3791,]  3.665712e-01  3.665712e-01  0.8928943817  0.366571163
#>  [3792,]  3.462542e-01  3.462542e-01  0.3462542393  0.346254239
#>  [3793,]  1.068620e-01  3.087176e-01  0.3087175725  0.456440534
#>  [3794,]  2.903635e-01  2.903635e-01  0.3306094652  0.330609465
#>  [3795,]  1.408083e-01  6.317662e-01  0.6317661746  0.398642483
#>  [3796,] -9.133974e-02  6.494233e-01  0.6036441568  0.649423317
#>  [3797,]  3.462246e-01  5.258979e-01  0.5258978587  0.525897859
#>  [3798,]  1.902250e-01  1.902250e-01  0.1902249535  0.773210733
#>  [3799,]  4.873221e-01  2.318795e-01  0.4873220891  0.401284377
#>  [3800,]  5.631259e-01  5.631259e-01  0.5631258946  0.563125895
#>  [3801,]  2.861293e-01  2.641323e-01  0.1005261692  0.286129328
#>  [3802,]  3.880300e-01  3.880300e-01  0.4548818957  0.985182028
#>  [3803,]  5.263408e-01  5.263408e-01  0.5263407848  0.677555296
#>  [3804,]  1.740316e-01  8.106685e-01  0.8106684866  0.810668487
#>  [3805,]  2.627209e-01  7.159481e-01  0.8177619221  0.262720878
#>  [3806,] -7.628266e-01  1.689877e-01  0.4194237159  0.764667259
#>  [3807,] -1.368921e-01  4.985979e-01  0.4985979189  0.672985806
#>  [3808,]  5.507997e-01  5.507997e-01  0.5507996929  0.550799693
#>  [3809,]  5.281313e-01  5.281313e-01  0.5281312584  0.528131258
#>  [3810,]  4.588125e-01  4.588125e-01  0.4588124715  0.458812471
#>  [3811,]  6.004870e-01  6.004870e-01  0.6049498758  0.600486952
#>  [3812,]  5.197230e-01  5.197230e-01  0.5197229589  1.059269046
#>  [3813,] -1.468786e-01  5.457170e-01  0.7680377247  0.768037725
#>  [3814,]  1.082689e-01  6.384279e-01  0.6384278569  0.638427857
#>  [3815,]  1.823790e-01  3.982321e-01  0.4305270574  0.791787198
#>  [3816,]  4.554565e-01  4.554565e-01  0.4554564745  0.974389672
#>  [3817,]  3.248092e-01  2.416570e-01  0.3248091533  0.324809153
#>  [3818,]  4.624410e-01  1.821968e-01  0.1821967707  0.462441032
#>  [3819,]  4.680951e-01  4.071610e-01  0.6893159705  0.968725465
#>  [3820,]  1.535919e-02  6.018191e-01  0.5583862048  0.569883974
#>  [3821,]  3.061691e-01  5.401061e-01  0.7989213871  0.806229001
#>  [3822,]  5.703175e-01  2.525186e-01  0.9334316623  0.685695651
#>  [3823,]  5.078787e-01  3.676188e-01  0.3676188103  0.611750729
#>  [3824,]  4.199437e-01  1.631596e-01  0.4199437142  0.552557482
#>  [3825,]  2.085136e-01  2.085136e-01  0.3795820976  0.602653806
#>  [3826,]  1.798873e-01  7.618923e-01  0.6698427911  0.791947935
#>  [3827,]  3.693847e-01  7.314401e-01  0.3693846774  0.731440133
#>  [3828,]  1.737876e-01  2.688502e-01  0.2688501710  0.268850171
#>  [3829,]  6.028845e-01  6.028845e-01  0.6028845129  0.602884513
#>  [3830,]  1.461386e-01  4.442969e-01  0.8424280720  0.842428072
#>  [3831,]  3.959720e-01  1.562717e-01  0.1562717071  0.859578014
#>  [3832,]  3.462041e-01  7.147468e-01  0.7147468365  0.714746836
#>  [3833,]  1.686714e-01  8.324370e-01  0.1686713669  0.168671367
#>  [3834,]  4.338497e-01  4.338497e-01  0.4338497056  0.433849706
#>  [3835,]  8.541494e-01  8.541494e-01  0.8541493697  0.854149370
#>  [3836,]  6.073387e-01  6.073387e-01  0.6073387260  0.607338726
#>  [3837,]  6.338327e-01  6.338327e-01  0.6338326558  0.633832656
#>  [3838,]  4.564196e-01  4.564196e-01  0.4564195648  0.456419565
#>  [3839,]  2.216401e-01  6.510269e-01  0.6510269014  0.221640115
#>  [3840,]  2.030826e-01  9.769832e-02  0.6796505081  0.403235778
#>  [3841,]  1.081529e-01  1.081529e-01  0.5695105710  0.569510571
#>  [3842,] -3.080127e-02  1.596058e-01  0.5462254122  0.546225412
#>  [3843,]  2.936950e-01  1.876197e-01  0.1876196575  0.573310881
#>  [3844,]  3.289536e-01  2.158112e-01  0.8571964336  0.424187199
#>  [3845,]  3.289448e-01 -6.615659e-01  0.0904030260  0.826573675
#>  [3846,]  3.798327e-02  9.070451e-01  0.8564765409  0.669050284
#>  [3847,] -3.675797e-01  7.996608e-01  0.6785576960  0.756490405
#>  [3848,] -5.562354e-01  4.624573e-01  0.3091257403  0.716480580
#>  [3849,]  1.314804e-01  1.314804e-01  0.5889696158  0.473378705
#>  [3850,]  7.253351e-01  7.253351e-01  0.4790422695  0.479042269
#>  [3851,]  2.389372e-01  3.272701e-01  0.3272701452  0.632382158
#>  [3852,]  1.891219e-01  6.957925e-01  0.0822197768  0.082219777
#>  [3853,]  3.863527e-01  3.863527e-01  0.2427836510  1.280347608
#>  [3854,]  5.448616e-02  5.550930e-01  0.5550929751  0.555092975
#>  [3855,]  4.392012e-01  4.392012e-01  0.4392012187  0.439201219
#>  [3856,]  6.417265e-01  6.417265e-01  0.6417264579  0.641726458
#>  [3857,]  4.104762e-01  4.104762e-01  0.4104761903  0.410476190
#>  [3858,]  6.094380e-01  6.094380e-01  0.6094380081  0.609438008
#>  [3859,]  4.816361e-01  6.883099e-01  0.4816361344  0.688309934
#>  [3860,]  2.233318e-01  6.164974e-01  0.7482821235  0.748282123
#>  [3861,]  2.267038e-02  2.267038e-02  0.6122600597  0.736688690
#>  [3862,]  1.870617e-01  1.750819e-01  0.3390434241  0.716693210
#>  [3863,]  5.736718e-01  5.736718e-01  0.5851333563  0.585133356
#>  [3864,] -1.388291e-01  5.545783e-01  0.6734054022  0.756323000
#>  [3865,]  1.006647e-01  5.394073e-01  0.5927703180  0.592770318
#>  [3866,]  1.424035e-01  4.781393e-01  0.3754840025  0.640762254
#>  [3867,]  3.995991e-01  4.895911e-01  0.3588319239  0.548704961
#>  [3868,]  4.480492e-01  3.738320e-01  0.7059413315  0.448049187
#>  [3869,]  3.346435e-01  4.500757e-01  0.9311828751  0.931182875
#>  [3870,]  9.696487e-02  3.754931e-01  0.8833129287  0.375493054
#>  [3871,]  1.953043e-01  6.767106e-01  0.5264778896  0.676710619
#>  [3872,]  4.160960e-02  4.366034e-01  0.3535218881  0.472526751
#>  [3873,]  2.426209e-01  2.426209e-01  0.2426209120  0.802554468
#>  [3874,]  8.364747e-02  8.364747e-02  0.5966946143  0.757825457
#>  [3875,] -2.807655e-01  7.072761e-01  0.3420222317  0.814718450
#>  [3876,]  5.798081e-02  5.433519e-01  0.0579808088  0.876045642
#>  [3877,] -2.591582e-01  2.605391e-01  0.6323157367  1.057402645
#>  [3878,]  5.621844e-02  4.639794e-01  0.4639794003  0.685202480
#>  [3879,]  1.605857e-01  2.674711e-01  0.5317045056  0.531704506
#>  [3880,]  1.906598e-01  5.944268e-01  0.5944267938  0.594426794
#>  [3881,]  1.841508e-01  1.841508e-01  0.1841507953  0.602365297
#>  [3882,]  9.191483e-02  3.789701e-01  1.1911436826  0.585549777
#>  [3883,]  1.747196e-01  5.767255e-01  0.1747196499  0.642298781
#>  [3884,]  4.089615e-01  4.017418e-01  0.4089615461  0.676059814
#>  [3885,]  4.433842e-01  5.564958e-01  0.4433842493  0.769539811
#>  [3886,]  2.770858e-01  8.250196e-01  0.6523044159  1.297548957
#>  [3887,]  1.344382e-01  7.078767e-01  0.5557946036  0.555794604
#>  [3888,]  3.176145e-01  7.396599e-01  0.7396599103  1.082703539
#>  [3889,]  1.916562e-01  1.916562e-01  0.7856793890  0.785679389
#>  [3890,]  2.687716e-01  4.982881e-01  0.4982880960  0.498288096
#>  [3891,]  1.751080e-01  1.751080e-01  0.6717783982  0.671778398
#>  [3892,]  1.567200e-01  2.361917e-01  0.8788317420  0.878831742
#>  [3893,]  6.468852e-01  5.954565e-01  0.6824680713  0.595456550
#>  [3894,]  5.285227e-01  5.285227e-01  0.5285227181  0.528522718
#>  [3895,]  9.011680e-02  5.591619e-01  0.5591619124  0.559161912
#>  [3896,]  8.599565e-01  8.599565e-01  0.8599565433  0.859956543
#>  [3897,]  4.932959e-01  4.932959e-01  0.4932959219  0.493295922
#>  [3898,]  6.471469e-01  6.471469e-01  0.7576242297  0.647146881
#>  [3899,] -7.228628e-03  4.368174e-01  0.4368173793  0.847792130
#>  [3900,]  1.085642e-01  6.437079e-01  0.4628293385  0.844536716
#>  [3901,]  2.836399e-01  5.985234e-01  0.5985234355  1.270840028
#>  [3902,]  4.429867e-01  6.196088e-01  0.2132556828  0.619608820
#>  [3903,]  9.430612e-02  7.615303e-02  0.0943061159  0.886751212
#>  [3904,]  3.358386e-01  5.394083e-01  0.3358386349  0.539408262
#>  [3905,]  1.979764e-01  4.219358e-01  0.2948316048  0.294831605
#>  [3906,]  4.263383e-01  4.263383e-01  0.4263383305  0.632671294
#>  [3907,]  6.889460e-01  6.889460e-01  0.2377171766  0.716784243
#>  [3908,]  4.928266e-01  4.928266e-01  0.3756445206  0.492826574
#>  [3909,] -2.750646e-01  5.362742e-01  0.3451661505  0.715839414
#>  [3910,]  1.507935e-01  7.211803e-01  0.5084703972  0.949662635
#>  [3911,] -1.334832e-01  9.179348e-01  0.2499476436  0.679494977
#>  [3912,] -1.531129e-01  1.060059e+00  0.2382178478  0.725820684
#>  [3913,] -2.609373e-01  3.374288e-01  0.3374287594  0.833016366
#>  [3914,]  1.459101e-01  1.459101e-01  0.6126509322  0.612650932
#>  [3915,]  6.340422e-01  6.340422e-01  0.6340421884  0.634042188
#>  [3916,]  5.044637e-01  5.044637e-01  0.5044637079  0.504463708
#>  [3917,]  6.883327e-02  5.917217e-01  0.5917217388  0.591721739
#>  [3918,]  8.286063e-03  5.974131e-01  0.5974130666  0.597413067
#>  [3919,]  9.785322e-01  5.294917e-01  0.5294917375  0.529491737
#>  [3920,] -7.834442e-01  3.755544e-01  0.3755544165  0.713488756
#>  [3921,]  5.261129e-02  5.261129e-02  0.6361615522  1.114181970
#>  [3922,] -3.444016e-02  5.160060e-01  0.5160059561  0.516005956
#>  [3923,]  2.980282e-01  2.980282e-01  0.2980281853  0.298028185
#>  [3924,]  3.996455e-01  3.996455e-01  0.2541887921  0.647874510
#>  [3925,]  2.319292e-01  5.425897e-01  0.5425896610  0.542589661
#>  [3926,]  3.019954e-01  3.019954e-01  0.4404211840  0.440421184
#>  [3927,]  6.654125e-01  1.437553e-01  0.6654124601  0.665412460
#>  [3928,] -1.814209e-01 -2.562480e-01  0.6595871726  0.659587173
#>  [3929,]  6.811492e-02  6.444037e-01  0.6444037248  0.393017567
#>  [3930,]  9.703303e-02  5.353552e-01  0.5353552458  0.759950109
#>  [3931,]  4.756764e-02  6.175912e-01  0.7548579958  0.617591248
#>  [3932,]  1.235375e-01  9.328293e-01  0.3796095211  0.932829295
#>  [3933,]  4.949825e-01  4.949825e-01  0.4949824640  0.379698413
#>  [3934,] -3.537453e-02  2.634011e-01  0.4359438339  0.303561235
#>  [3935,]  2.921883e-01  7.627663e-01  0.7627663350  0.292188333
#>  [3936,]  6.160358e-01  6.160358e-01  0.1215346789  0.616035788
#>  [3937,] -1.880480e-02  4.181320e-01 -0.0188047955  0.418132042
#>  [3938,]  6.175617e-01 -1.154395e-01  0.6175616775  0.739703455
#>  [3939,]  2.896760e-02  5.702240e-01  1.0274164786  0.500665426
#>  [3940,] -2.859743e-02  7.168126e-01  0.7168125962  0.693478176
#>  [3941,] -5.037434e-02  2.944597e-01  0.6235384838  0.747851591
#>  [3942,]  1.142786e-01  4.217028e-01  0.7166274053  0.716627405
#>  [3943,]  2.464512e-01  2.586266e-01  0.9025996743  0.902599674
#>  [3944,]  5.930732e-01  5.930732e-01  0.8269239529  0.937824360
#>  [3945,]  8.057407e-01  5.548730e-01  0.8057407267  0.805740727
#>  [3946,]  5.228120e-01  5.228120e-01  0.5285224307  0.522812025
#>  [3947,]  3.617364e-01  3.617364e-01  0.3617364328  0.361736433
#>  [3948,]  3.258742e-01  4.042446e-01  0.3258741992  0.437068852
#>  [3949,]  3.546024e-01  7.900576e-01  0.2827823125  0.354602387
#>  [3950,]  2.466018e-01  3.429143e-01  0.3429143187  0.342914319
#>  [3951,]  3.524494e-01  6.058825e-01  0.4207639176  0.605882477
#>  [3952,]  3.856099e-01  3.856099e-01  0.3856099239  0.576291199
#>  [3953,] -2.458129e-01  2.318997e-01  0.7042581255  0.704258126
#>  [3954,]  2.252802e-01  5.494613e-01  0.5494613165  0.549461317
#>  [3955,]  8.311365e-02  5.474245e-01  0.5474245139  0.547424514
#>  [3956,]  2.775582e-01  3.099599e-02  0.2775582259  0.908511413
#>  [3957,]  2.716618e-01  2.716618e-01  0.4326806894  0.793686729
#>  [3958,]  5.872954e-01  6.315035e-01  0.6315035031  0.631503503
#>  [3959,]  6.957037e-01  6.957037e-01  0.3078472111  0.307847211
#>  [3960,] -7.424359e-02  7.144720e-01  0.7144719875  0.714471987
#>  [3961,] -6.399220e-02  6.114039e-01  0.6114039333  0.611403933
#>  [3962,]  2.215586e-01  6.730353e-01  0.6730353360  0.673035336
#>  [3963,]  1.005898e-01  4.167593e-01  0.4167593026  0.416759303
#>  [3964,]  4.088464e-01  4.088464e-01  0.4088464159  0.708702967
#>  [3965,]  3.759078e-01  3.759078e-01  0.6127250990  0.612725099
#>  [3966,]  4.919944e-01  4.283677e-01  0.4283676911  0.491994385
#>  [3967,]  5.505893e-01  4.220874e-01  0.5505893195  0.422087385
#>  [3968,]  3.658009e-01  3.658009e-01  0.3658008606  0.365800861
#>  [3969,]  2.683671e-01  2.683671e-01  0.0607510086  0.522577558
#>  [3970,]  3.155482e-01  4.766142e-01  0.1976707975  0.315548244
#>  [3971,]  5.079602e-01  5.617385e-01  0.4739051263  0.507960178
#>  [3972,]  4.209362e-01  4.209362e-01  0.4209362445  0.769651623
#>  [3973,]  5.482159e-01  5.482159e-01  0.1275371749  0.330550752
#>  [3974,] -1.639641e-01  3.368680e-01  0.6303932842  0.336868039
#>  [3975,] -1.145820e-01  2.757122e-01  0.8418182247  0.386516544
#>  [3976,]  5.784943e-01  5.721662e-01  0.7645407946  0.764540795
#>  [3977,] -6.160598e-02  4.471920e-01  0.4471919613  0.498238546
#>  [3978,]  2.186820e-01  2.301518e-01  0.2413330637  0.534981711
#>  [3979,]  1.396979e-01  6.775929e-01  0.4389798515  0.677592938
#>  [3980,]  3.858102e-01  3.356584e-01  0.3858102411  0.693652398
#>  [3981,]  5.491238e-01  5.227982e-01  0.5491238486  0.924519983
#>  [3982,]  3.529209e-01  4.528464e-01  0.3144917425  1.032007075
#>  [3983,]  2.864101e-01  5.545232e-01  0.1949929563  0.554523214
#>  [3984,]  3.028066e-01  5.683232e-01  0.5683231858  0.220688171
#>  [3985,] -4.620871e-03  5.031561e-01  0.9314869297  0.789487437
#>  [3986,]  3.028145e-01  3.584458e-01  1.1499173648  1.149917365
#>  [3987,]  2.564181e-01  2.377160e-01  0.2377160313  0.256418108
#>  [3988,]  4.057892e-01  4.057892e-01  0.6384223533  0.836867179
#>  [3989,]  1.314361e-02  5.927224e-01  0.6918051773  0.357715346
#>  [3990,]  3.755975e-01  5.303175e-01  0.5692947271  0.530317467
#>  [3991,]  4.682042e-01  4.682042e-01  0.4983545267  0.898399018
#>  [3992,]  5.301392e-02  7.423133e-01  0.7673002594  0.854713918
#>  [3993,]  5.986562e-02  1.144246e+00  0.5395769492  1.144245911
#>  [3994,]  3.681892e-02  6.221926e-01  0.5569958691  0.728662494
#>  [3995,] -9.109482e-02  7.584888e-01  0.3797166942  0.573295988
#>  [3996,] -1.812998e-01  6.111370e-01  0.8075819980  0.783586623
#>  [3997,]  8.107188e-01  8.189449e-01  0.2627090742  0.767584924
#>  [3998,]  5.731046e-01  5.731046e-01  0.5731045975  0.752853605
#>  [3999,]  3.343085e-04  8.188697e-01  0.6540996610  0.654099661
#>  [4000,]  1.623782e-01  2.232702e-01  0.2232701656  0.363153169
#>  [4001,]  2.444215e-01  3.666079e-01  0.5375836954  0.537346127
#>  [4002,]  1.459018e-01  2.266749e-01  0.1459018342  0.486449373
#>  [4003,]  9.935978e-02  1.490846e-01  0.9931863276  1.002781819
#>  [4004,]  1.909469e-01  1.909469e-01  0.1909468991  1.239281252
#>  [4005,]  1.791941e-01 -4.663581e-03  0.1791941113  1.199366306
#>  [4006,] -1.081380e-01  4.598661e-03  0.5252766258  0.525276626
#>  [4007,] -1.188152e-02  3.693296e-01  0.3693295587  0.883709979
#>  [4008,]  1.185129e-01  4.410129e-01  0.1185129238  0.681977864
#>  [4009,] -7.830361e-02  5.817148e-01 -0.0783036126  0.967675274
#>  [4010,]  4.373199e-01  8.850648e-01  0.4023534014  0.890439242
#>  [4011,]  1.356235e-02  2.126670e-01  0.6776141243  0.733478497
#>  [4012,]  1.193063e-01 -2.185200e-01  1.1059034926  0.733055055
#>  [4013,] -1.049406e-01  4.984856e-01  1.2078012752  0.548840364
#>  [4014,]  1.361748e-02  2.852671e-01  0.4082867154  1.093292858
#>  [4015,]  2.222550e-01  4.323801e-01  0.6694722180  1.168613428
#>  [4016,]  2.457400e-01  8.223134e-01  0.1932806115  0.610296455
#>  [4017,]  7.453826e-02  4.022994e-01  0.4022993730  0.656799589
#>  [4018,]  3.209940e-02  1.031640e+00  0.0836157617  0.742742594
#>  [4019,] -1.800087e-02  7.310914e-01  0.6443635019  1.110050285
#>  [4020,]  2.732116e-01  5.091314e-01  0.5082121448  0.964405547
#>  [4021,]  2.714839e-01  6.502941e-01  0.8509350553  1.165581905
#>  [4022,] -2.730595e-02  6.967852e-01  0.8876091546  0.696785163
#>  [4023,]  4.671237e-01  1.514375e-01  0.5203854436  0.548021408
#>  [4024,]  4.411745e-01  1.352509e-01  0.6473955392  0.605420359
#>  [4025,]  3.470018e-01  5.229310e-01  0.2899519655  0.510681891
#>  [4026,]  1.049586e-01  4.729447e-01  0.3727599792  0.472944729
#>  [4027,]  3.019749e-01  4.727772e-01  0.6546830596  0.472777186
#>  [4028,]  2.444259e-02  5.620308e-01  0.6559763355  0.562030830
#>  [4029,]  1.657905e-01  3.440824e-01  0.4863458408  0.715891882
#>  [4030,]  1.609828e-01  1.609828e-01  0.6093485812  1.004024080
#>  [4031,]  3.680792e-01  1.675785e-01  0.6404465021  0.887309620
#>  [4032,]  2.452720e-01  6.822108e-01  0.0064982611  0.277210968
#>  [4033,]  1.734482e-01  6.984192e-01  0.3000835172  0.698419206
#>  [4034,] -2.324145e-01  4.926114e-01  0.1531528282  0.530057376
#>  [4035,] -1.198126e-01  8.328142e-01  0.4277937507  0.832814213
#>  [4036,] -2.744772e-01  8.784037e-01  0.6178794455  1.004080681
#>  [4037,] -5.984413e-02 -9.549203e-03 -0.0598441337  1.183009755
#>  [4038,]  2.692195e-01  2.692195e-01  0.5631851008  0.426800924
#>  [4039,]  5.167837e-01  1.703200e-01  0.3827871725  0.603648713
#>  [4040,]  3.954544e-01  7.113243e-01  0.7113243022  0.646577993
#>  [4041,]  2.900423e-01  5.590636e-01  0.5247317144  0.559063578
#>  [4042,]  5.074304e-01  6.495685e-01  0.5074303869  0.507430387
#>  [4043,] -1.115887e-01  7.148861e-01  0.7148860665  0.714886067
#>  [4044,]  4.330130e-01  4.853875e-01  0.4853875108  0.298853588
#>  [4045,]  4.093166e-01  4.484092e-01  0.2745944082  0.409316565
#>  [4046,]  8.947701e-02  4.772956e-01  0.7447979207  0.669780340
#>  [4047,]  3.300277e-01  5.329427e-01  0.5725883493  0.572588349
#>  [4048,]  6.906580e-01  6.906580e-01  0.6906580325  0.690658032
#>  [4049,]  1.767154e-01  4.159238e-01  0.4159238045  0.415923804
#>  [4050,]  7.751744e-01  7.751744e-01  0.7751743894  0.775174389
#>  [4051,]  1.610460e-03  9.384702e-01  0.3581476308  0.972912036
#>  [4052,]  1.907502e-01  8.735640e-01  0.3937520085  0.582249376
#>  [4053,]  4.535471e-01  2.667263e-01  0.1436192941  0.462053567
#>  [4054,]  2.368922e-01  5.128009e-01  0.3246597309  0.960894724
#>  [4055,]  3.545743e-01  5.111583e-01  0.3545742775  0.934063612
#>  [4056,]  1.515179e-01  5.779753e-01  0.6118820934  0.611882093
#>  [4057,]  1.835914e-01  7.056016e-01  0.1835913619  1.197726761
#>  [4058,] -9.612288e-02  5.735983e-01  0.5735982806  0.980748982
#>  [4059,]  2.239411e-01  6.873264e-01  0.2703741077  0.687326426
#>  [4060,] -1.200793e-01 -1.200793e-01  0.0292786225  0.628936072
#>  [4061,]  1.216810e-01  6.441126e-01  0.4678130797  0.644112611
#>  [4062,] -1.012969e-02  3.425542e-01  0.4800239725  0.480023972
#>  [4063,] -8.732305e-02  7.102488e-01  0.7102487888  0.271028838
#>  [4064,]  3.245486e-01  7.738601e-01  0.6180840919  0.372745946
#>  [4065,] -8.107917e-03  8.903894e-02  0.8662689049  0.866268905
#>  [4066,] -3.600472e-01  4.647862e-01  0.7741042031  0.464786164
#>  [4067,] -5.726252e-01  6.468039e-01  0.5886217929  0.978624508
#>  [4068,]  1.615108e-02  1.093395e-02  0.4761958119  0.476195812
#>  [4069,] -1.815733e-01  7.622626e-01 -0.0419909113  0.762262583
#>  [4070,] -2.800454e-01  8.576797e-01  0.4643150040  0.984172155
#>  [4071,]  1.226124e-01  9.029668e-01  0.8530515071  0.902966818
#>  [4072,] -7.941375e-02  5.246277e-01  0.3872991962  0.678742085
#>  [4073,] -4.519942e-02  4.872981e-01  0.8681764087  0.385050559
#>  [4074,] -6.208569e-02  1.994320e-01  0.1994320175  0.650399950
#>  [4075,]  1.299297e-01  3.187778e-01  0.4640085560  0.714337898
#>  [4076,]  1.137069e-01  1.137069e-01  0.3610322286  0.680860730
#>  [4077,]  3.601587e-01  1.564357e-01  0.5347020140  0.342662283
#>  [4078,]  5.837449e-01  7.419573e-01  0.6749638060  0.583744902
#>  [4079,]  4.894642e-01  9.995143e-01  0.4894641959  0.991886796
#>  [4080,]  4.422503e-01  5.428517e-01  0.5428517113  0.638880218
#>  [4081,]  7.517033e-01  5.496227e-01  0.2632270040  0.735002902
#>  [4082,]  4.362965e-01  7.735914e-01  0.6905101908  0.406287119
#>  [4083,]  4.709662e-01  4.709662e-01  0.5422131012  0.542213101
#>  [4084,]  3.746472e-01  3.746472e-01  0.3746472377  0.495527617
#>  [4085,]  4.223197e-01  4.223197e-01  0.4223197254  0.944066484
#>  [4086,]  5.921629e-01  5.921629e-01  0.5921629061  0.956281900
#>  [4087,]  1.735724e-01  7.023256e-01  0.2336892479  0.902569693
#>  [4088,]  1.754793e-01  6.927988e-01  0.1415495103  0.746281672
#>  [4089,]  5.208282e-02  3.696308e-01  0.0033389708  0.828937011
#>  [4090,] -2.911908e-01  8.324378e-01  0.8324377752  0.832437775
#>  [4091,] -7.991003e-02  7.582776e-01  0.7582776004  0.758277600
#>  [4092,]  5.076708e-01  3.914310e-01  0.4481538094  0.507670808
#>  [4093,] -5.046942e-01  5.947947e-01  0.6593566316  0.594794743
#>  [4094,] -1.350344e-01  3.230333e-01  0.8238170563  0.785585943
#>  [4095,]  3.369396e-02  5.808940e-01  0.8286584946  0.559539344
#>  [4096,] -4.336673e-01  7.083451e-01  0.6669460358  0.666946036
#>  [4097,]  4.167568e-01  8.152181e-01  0.4167567729  0.815218096
#>  [4098,]  1.190267e-01  5.866191e-01  0.5866191042  0.586619104
#>  [4099,]  1.996358e-01  4.582917e-01  0.4582916942  0.639012739
#>  [4100,]  1.597235e-01  1.024231e+00  1.0458119140  0.618974702
#>  [4101,]  5.355746e-01  7.426556e-01  0.6304676201  0.742655637
#>  [4102,]  2.195318e-01  4.308119e-01  0.5446811638  0.219531833
#>  [4103,]  6.175771e-02  5.793463e-01  0.4214164096  0.421416410
#>  [4104,] -1.498793e-01  6.547632e-01  0.7557866229  0.653152794
#>  [4105,]  2.937068e-01  2.385622e-01  0.1957688967  0.608469461
#>  [4106,]  2.704043e-01  3.149323e-01  0.5609446199  0.314932283
#>  [4107,]  5.588406e-01  4.395045e-01  0.4395045138  0.558840551
#>  [4108,]  3.592253e-01  3.592253e-01  0.8371059636  0.811685775
#>  [4109,]  3.630155e-01  3.630155e-01  0.3630154694  0.363015469
#>  [4110,] -2.608635e-01  7.717717e-01  0.5588699760  0.558869976
#>  [4111,] -2.758693e-02  5.940329e-01  0.5940329288  0.594032929
#>  [4112,]  5.299021e-01  5.299021e-01  0.5299021442  0.529902144
#>  [4113,]  7.464822e-02  2.792893e-01  0.7172169360  0.717216936
#>  [4114,]  2.701089e-01  6.708308e-01  0.2701089107  0.670830832
#>  [4115,]  4.223179e-01  4.223179e-01  0.5736974791  0.422317939
#>  [4116,]  3.451580e-01  5.427189e-01  0.3451579882  0.345157988
#>  [4117,] -6.840102e-02  5.482021e-01  0.5482020744  0.548202074
#>  [4118,]  3.695871e-01  3.695871e-01  0.3695870981  0.369587098
#>  [4119,]  4.240446e-01  4.240446e-01  0.4240446336  0.424044634
#>  [4120,]  2.598372e-01  2.598372e-01  0.2598372421  0.244363672
#>  [4121,]  1.219144e-01  4.651128e-01  0.4651127718  0.998874453
#>  [4122,]  3.953849e-01  3.953849e-01  0.3953848756  0.855410658
#>  [4123,] -3.325770e-01  4.134232e-01  0.2539714748  0.413423194
#>  [4124,]  4.087106e-01  4.087106e-01  0.4087105547  0.408710555
#>  [4125,]  2.665598e-01  4.779716e-01  0.6792967682  0.679296768
#>  [4126,]  2.774102e-01  6.171669e-01  0.2774101999  0.361477678
#>  [4127,]  5.511912e-01  5.998250e-01  0.5998250447  0.906402910
#>  [4128,] -5.901044e-02  5.458105e-01  0.5458105051  0.694404017
#>  [4129,]  3.111805e-01  5.870295e-01  0.5596273307  0.587029472
#>  [4130,]  3.958348e-01  2.352242e-01  0.5026139995  0.395834793
#>  [4131,]  6.382370e-02  2.115459e-01  0.4575059544  0.580511789
#>  [4132,]  1.149668e-01  5.913735e-01  0.4419450219  0.805848205
#>  [4133,]  1.389222e-01  8.460542e-01  0.9220089149  0.853925108
#>  [4134,] -1.218537e-01  6.518481e-01  0.6386586472  0.824964349
#>  [4135,]  4.541817e-01  6.586204e-01  0.6586203603  0.788164811
#>  [4136,]  4.031687e-01  9.051204e-01  0.5511770203  0.905120436
#>  [4137,] -2.328232e-02 -2.328232e-02  0.5164715086  0.516471509
#>  [4138,]  2.219946e-01  4.759241e-01  0.4759241098  0.475924110
#>  [4139,] -4.257889e-02  6.106189e-01  0.6106189082  0.610618908
#>  [4140,] -7.808076e-02  8.066593e-01  0.8066593263  0.806659326
#>  [4141,]  3.994059e-01  4.789879e-01  0.4789879058  0.478987906
#>  [4142,]  1.112399e-01  5.986152e-01  0.5986152411  0.598615241
#>  [4143,]  3.386922e-01  3.386922e-01  0.6381230416  0.887992745
#>  [4144,]  1.081727e-01  5.245455e-01  0.6081379817  0.524545464
#>  [4145,]  4.475287e-01  4.475287e-01  0.4475286841  0.447528684
#>  [4146,] -3.260221e-01  3.378506e-01  0.3378506174  0.800250729
#>  [4147,]  1.410962e-01  1.410962e-01  0.8225194115  0.782903801
#>  [4148,]  2.656404e-02  6.080118e-01  0.3801748708  0.380174871
#>  [4149,]  1.205452e-01  6.538185e-01  0.6538185045  0.758696756
#>  [4150,]  6.193409e-01  6.193409e-01  0.6193408926  0.619340893
#>  [4151,]  2.311250e-01  2.311250e-01  0.2311250128  0.488396061
#>  [4152,] -1.227232e-01  5.254223e-01 -0.1227231877  0.962835452
#>  [4153,]  3.388838e-01  7.207357e-01  0.8046291370  0.720735712
#>  [4154,]  5.506826e-01  4.450292e-01  0.2027159566  0.550682581
#>  [4155,]  3.419269e-01  3.419269e-01  0.3419268951  0.341926895
#>  [4156,]  3.482359e-02  5.200987e-01  0.5200987059  0.750489251
#>  [4157,]  1.925145e-01  1.925145e-01  0.3433278180  0.288042239
#>  [4158,]  5.144574e-01  3.206951e-01  0.3206951063  0.514457350
#>  [4159,]  4.839127e-01  1.792555e-01  0.4779130788  0.772576873
#>  [4160,] -3.360594e-01  3.219379e-02  0.2035100579  0.994219515
#>  [4161,]  1.324910e-01  7.796991e-01  0.7796990909  0.779699091
#>  [4162,] -3.304795e-01  7.128306e-01  0.5701256532  0.712830647
#>  [4163,]  5.195346e-02  6.887604e-01  0.4117433016  0.688760388
#>  [4164,] -1.115679e-01  6.187649e-01  0.3303141705  0.330314170
#>  [4165,]  1.897642e-01  6.741550e-01  0.6741549936  0.674154994
#>  [4166,]  5.201027e-01  6.805614e-01  0.1644786034  1.008917757
#>  [4167,]  5.574126e-01  5.574126e-01  0.1372085960  0.967284445
#>  [4168,]  6.951409e-02  4.998821e-01  0.2852386128  0.897727527
#>  [4169,]  2.323295e-01  4.833546e-01  0.4833545692  0.937752397
#>  [4170,]  4.589249e-01  4.589249e-01  0.7116426135  0.589075571
#>  [4171,]  4.935377e-01  7.559507e-01  0.7559506533  0.874740742
#>  [4172,]  3.856418e-01  5.710796e-01  0.8620732248  0.862073225
#>  [4173,]  3.480987e-01  6.611554e-01  0.6611553719  0.661155372
#>  [4174,]  3.326301e-01  3.326301e-01  0.3326301218  0.332630122
#>  [4175,]  5.226731e-01  5.226731e-01  0.5226731462  0.522673146
#>  [4176,]  4.488590e-01  5.530068e-01  0.4488590213  0.553006811
#>  [4177,]  3.568881e-01  3.568881e-01  1.0239981199  0.852741488
#>  [4178,] -4.950867e-01  5.239927e-01  0.5239926803  0.523992680
#>  [4179,]  1.781694e-01  6.150765e-01  0.6150765396  0.615076540
#>  [4180,]  1.045846e-01  6.998169e-01  0.1342257527  0.699816901
#>  [4181,]  1.120242e-01  4.164977e-01  0.6011054319  0.601105432
#>  [4182,]  5.890822e-01  5.890822e-01  0.5890821729  0.591522423
#>  [4183,] -3.040333e-01  5.389846e-01  0.2684030664  0.538984562
#>  [4184,]  6.111486e-01  5.320783e-01  0.6111486470  0.611148647
#>  [4185,] -6.832015e-01  6.688572e-01  0.5173706167  0.517370617
#>  [4186,]  3.487117e-01  5.414906e-01  0.5414906026  1.150878577
#>  [4187,]  4.084369e-01  4.084369e-01  0.4084368664  0.408436866
#>  [4188,]  4.824183e-01  4.824183e-01  0.5413962768  0.541396277
#>  [4189,]  8.059434e-01  5.713766e-01  0.5713765788  0.792699667
#>  [4190,]  2.658544e-02  9.763597e-01  0.2199995098  0.712002207
#>  [4191,]  1.403092e-02  4.049131e-02  0.5278820834  0.652168909
#>  [4192,]  2.212311e-01  8.779797e-02  0.7711918793  0.819862532
#>  [4193,]  4.551933e-01  6.149133e-01  0.4190416661  0.614913251
#>  [4194,]  4.479776e-01  6.360264e-01  0.6360263776  0.151329971
#>  [4195,] -1.563452e-01  2.661676e-01  0.7222005955  0.657209153
#>  [4196,]  3.759064e-01 -4.074028e-02  0.4187742451  0.737253766
#>  [4197,] -1.469357e-02  5.161303e-01  0.5161302870  0.516130287
#>  [4198,] -3.440711e-01  4.703760e-01  0.5620037334  0.562003733
#>  [4199,]  1.361860e-01  4.413080e-01  0.4413079762  0.642979357
#>  [4200,] -4.605529e-02  2.659617e-01  0.2659617354  0.895979244
#>  [4201,]  1.247024e-01  3.971246e-01  0.3971245564  0.548042450
#>  [4202,]  4.267531e-01  4.267531e-01  0.4267530901  1.059976557
#>  [4203,]  3.080399e-01  4.638960e-01  0.3080399450  0.980218017
#>  [4204,]  3.405549e-01  5.022750e-01  0.5022749976  0.846931020
#>  [4205,]  8.020555e-01  3.930701e-01  0.6360534632  0.682353067
#>  [4206,]  6.052924e-01  3.792600e-01  0.5856524213  0.379259973
#>  [4207,]  7.799720e-01  5.918528e-01  0.6874976605  0.779971953
#>  [4208,]  8.216831e-02  6.534342e-01  0.8716169875  0.653434161
#>  [4209,]  3.172565e-01  2.894681e-01  0.7007124110  0.975128457
#>  [4210,]  6.527857e-01  6.527857e-01  0.6244408849  0.624440885
#>  [4211,]  5.813307e-01  6.113464e-01  0.5813306708  0.581330671
#>  [4212,]  5.703262e-01  5.703262e-01  0.5703261580  0.635254259
#>  [4213,]  1.647762e-01  5.259466e-01  0.7929308423  0.525946564
#>  [4214,]  3.668545e-01  4.385485e-01  0.4385484787  0.438548479
#>  [4215,]  1.717438e-01  2.866290e-01  0.2866289808  0.286628981
#>  [4216,]  4.476861e-01  4.476861e-01  0.4476861341  1.247924889
#>  [4217,]  5.524157e-01  1.398188e-01  0.5524157338  0.552415734
#>  [4218,]  5.781079e-02  7.533237e-01  0.7533236943  0.753323694
#>  [4219,]  4.748765e-01  4.748765e-01  0.4748765096  0.474876510
#>  [4220,]  2.657382e-01  2.657382e-01  0.2657382339  0.265738234
#>  [4221,]  6.004865e-02  9.178195e-01  0.5782493618  0.917819521
#>  [4222,] -1.145276e-01  3.473034e-01  0.3473034357  0.784949215
#>  [4223,] -2.102745e-01  6.672929e-01  0.6672928731  1.037048010
#>  [4224,]  7.808818e-01  2.737242e-01  0.7808817649  0.780881765
#>  [4225,]  4.553313e-01  3.801476e-01  0.3801475593  0.455331305
#>  [4226,]  4.533150e-01  4.533150e-01  0.4533150138  0.845215387
#>  [4227,]  5.912714e-01  5.912714e-01  0.5912714071  0.591271407
#>  [4228,]  4.497012e-01  4.497012e-01  0.4497012227  0.449701223
#>  [4229,]  1.979016e-01  1.979016e-01  0.1979016462  0.197901646
#>  [4230,]  2.248269e-01  1.531175e-01  0.1531175147  0.153117515
#>  [4231,]  4.000070e-01  4.000070e-01  0.4000069510  0.441585896
#>  [4232,]  3.883313e-01  3.883313e-01  0.6775015199  0.677501520
#>  [4233,]  1.460201e-01  7.337173e-01  0.7337173087  0.733717309
#>  [4234,]  8.145121e-03  7.738718e-01  0.7847814701  0.784781470
#>  [4235,] -4.421286e-01  6.416140e-01  0.4842508322  0.898434731
#>  [4236,] -2.859288e-01  6.165437e-01  0.5511733313  0.616543661
#>  [4237,] -2.272706e-01  6.360024e-01  0.1525614909  0.152561491
#>  [4238,]  3.505756e-01  5.767425e-01  0.3505756015  0.576742545
#>  [4239,]  3.997499e-01  3.997499e-01  0.6139152896  0.813887815
#>  [4240,]  6.117681e-01  5.975320e-01  0.6117681040  0.611768104
#>  [4241,]  3.330160e-01  6.154759e-01  0.6154758639  0.615475864
#>  [4242,]  6.538624e-01  2.202682e-01  0.8834054053  0.883405405
#>  [4243,]  4.382425e-01  4.910225e-01  0.4382425057  0.648116429
#>  [4244,]  4.849432e-01  5.896253e-01  0.5896252958  0.589625296
#>  [4245,]  4.906032e-01  6.014254e-01  0.1037089807  0.794993202
#>  [4246,]  3.827146e-01  1.335794e-01  0.3439239822  0.972167337
#>  [4247,] -2.924811e-01  1.911550e-01  0.1911550291  1.032457155
#>  [4248,]  4.378017e-01 -4.610405e-02 -0.3812608421  0.989593492
#>  [4249,]  5.901169e-01  5.901169e-01  0.5901168973  0.462210356
#>  [4250,]  1.875762e-01  1.875762e-01  0.1875761905  0.187576190
#>  [4251,]  4.815855e-01  4.815855e-01  0.4815855396  0.481585540
#>  [4252,]  5.811319e-01  5.811319e-01  0.4553373467  0.581131912
#>  [4253,]  3.390217e-01  8.084810e-01  0.3390217364  0.795970947
#>  [4254,]  4.795183e-01  4.795183e-01  0.4795183221  0.818901425
#>  [4255,]  6.022865e-02  6.654623e-01  0.7318339146  0.665462328
#>  [4256,]  2.533914e-01  4.875599e-01  0.4875599087  0.487559909
#>  [4257,]  4.797016e-01  4.797016e-01  0.4797016233  0.479701623
#>  [4258,] -1.094813e-01  5.633656e-01  0.5633655669  0.563365567
#>  [4259,]  2.663041e-02  7.540971e-01  0.7540971182  0.754097118
#>  [4260,]  3.753529e-02  7.604947e-01  0.4101588426  0.641933675
#>  [4261,]  2.292530e-01  4.665739e-01  0.1235730509  1.187123275
#>  [4262,]  7.484299e-02  7.484299e-02  0.1611557177  0.909781443
#>  [4263,]  5.223960e-01  3.088401e-01  0.5223960133  0.914252210
#>  [4264,]  3.134077e-01  4.081176e-01  0.6879748239  0.687974824
#>  [4265,]  2.957365e-01  7.605917e-01  0.7896698019  0.760591716
#>  [4266,]  2.932471e-01  3.119235e-01  0.9890024969  0.715742132
#>  [4267,]  5.669797e-01  6.125242e-01 -0.1370570937  0.712027770
#>  [4268,]  5.061834e-01  2.870049e-01  0.2870049114  0.584149248
#>  [4269,]  3.543904e-01  3.543904e-01  0.3543903727  0.354390373
#>  [4270,]  3.904809e-01  4.526481e-01  0.4526480886  0.390480912
#>  [4271,]  8.567074e-02  5.189768e-01  0.1161276222  0.432800757
#>  [4272,] -3.864000e-02  4.175088e-01  0.2817290559  0.441467055
#>  [4273,]  1.157616e-01  5.550491e-01  0.5550491089  0.555049109
#>  [4274,]  3.078998e-01  8.564293e-01  0.8203593793  0.856429296
#>  [4275,]  1.082627e-01  3.148254e-01  0.3364896461  0.918741321
#>  [4276,]  5.062668e-01  5.062668e-01  0.6569470312  0.506266789
#>  [4277,]  6.700761e-01  6.700761e-01  0.6013561123  0.670076081
#>  [4278,] -1.336047e-01  1.360653e-01  0.5690180257  0.569018026
#>  [4279,]  6.865552e-01  6.865552e-01  0.6865552440  0.686555244
#>  [4280,]  3.432813e-01  4.829356e-01  0.3432812716  0.482935578
#>  [4281,]  1.202407e-01  7.113159e-01  0.8631987019  0.863198702
#>  [4282,]  1.252432e-01  4.517163e-01  0.4517162597  0.623879460
#>  [4283,] -7.837895e-02  7.318864e-01  0.7318864248  0.456693656
#>  [4284,]  1.347304e-01  7.360464e-01  0.8715505480  0.871550548
#>  [4285,]  2.243830e-01  7.681394e-01  0.7681393944  0.768139394
#>  [4286,]  1.998610e-01  3.052902e-01  0.7991118599  0.799111860
#>  [4287,]  5.390742e-01  8.786029e-05  0.6658128816  0.665812882
#>  [4288,]  8.715184e-02  6.750818e-01  0.6750817648  1.262658283
#>  [4289,]  1.855851e-01  7.286194e-01  0.7286194150  0.728619415
#>  [4290,]  6.679626e-02  6.679626e-02  0.5863997041  0.586399704
#>  [4291,]  6.650034e-01  9.744129e-01  0.6650033554  0.665003355
#>  [4292,]  6.148732e-01  6.148732e-01  0.6148731550  0.614873155
#>  [4293,]  3.185380e-01  4.092421e-01  0.4092420763  0.409242076
#>  [4294,]  3.802998e-01  2.880826e-01  0.5710116663  0.380299789
#>  [4295,]  7.006525e-01  4.686730e-01  0.7006525253  0.120560434
#>  [4296,] -8.966173e-02  4.793382e-01  0.5521881501  0.552188150
#>  [4297,]  3.913979e-02  2.275386e-01  0.2275385561  0.796284470
#>  [4298,]  1.912755e-01  5.677029e-01  0.5677028908  0.792058684
#>  [4299,]  5.077410e-01  5.592181e-01  0.5077409801  0.696875245
#>  [4300,]  4.772478e-02  5.887525e-01  0.5887525455  0.588752546
#>  [4301,]  3.422511e-01  5.670726e-01  0.5670726021  0.556166404
#>  [4302,]  5.076283e-01  5.076283e-01  0.5076282793  0.507628279
#>  [4303,]  1.285504e-01  4.445285e-01  0.4445285403  0.891717323
#>  [4304,]  1.724090e-01  2.475620e-01  0.7116298936  0.711629894
#>  [4305,]  5.909147e-01  5.909147e-01  0.4422207127  0.590914683
#>  [4306,]  4.409809e-01  4.409809e-01  0.4409808690  0.440980869
#>  [4307,]  3.949013e-01  3.949013e-01  0.3949013066  0.394901307
#>  [4308,]  4.441125e-01  4.441125e-01  0.4441125072  0.444112507
#>  [4309,]  3.947276e-01  3.947276e-01  0.3947276124  0.394727612
#>  [4310,]  3.347451e-01  3.347451e-01  0.3347451293  0.334745129
#>  [4311,]  1.312599e-01  5.424237e-01  0.5424237260  0.789305067
#>  [4312,]  2.013283e-02  4.244302e-01  0.4244301856  0.337885059
#>  [4313,] -7.360322e-02  5.053289e-01  0.5053289193  0.505328919
#>  [4314,] -1.808408e-01  3.654052e-01  0.9004864165  0.900486417
#>  [4315,]  3.773747e-01  3.773747e-01  0.3773746754  0.690064108
#>  [4316,]  2.557945e-01  3.525646e-01  0.2557945242  0.654687616
#>  [4317,] -4.092606e-01  6.457418e-01  0.6457417801  0.346770274
#>  [4318,]  5.247408e-01  7.640077e-01  0.6372365968  0.524740780
#>  [4319,]  4.422462e-01  4.422462e-01  0.6111904798  0.442246234
#>  [4320,]  4.821261e-01  4.821261e-01  0.4821260742  0.408645569
#>  [4321,]  3.831709e-01  3.831709e-01  0.3966039746  0.383170919
#>  [4322,]  7.245610e-01  7.245610e-01  0.7245610277  0.724561028
#>  [4323,]  4.488504e-01  5.364772e-01  0.4488504023  0.536477180
#>  [4324,]  5.675811e-01  5.638144e-01  0.5638143696  0.567581093
#>  [4325,]  8.631592e-02  9.844968e-01  0.5008437124  0.827030728
#>  [4326,]  7.229688e-02  6.550114e-01  0.1394950924  0.853746802
#>  [4327,] -5.092530e-01  6.712298e-01  0.6359727452  0.635972745
#>  [4328,]  6.618522e-01  4.681116e-01  0.6618521532  0.661852153
#>  [4329,]  5.435249e-02  5.310613e-01  0.6861807321  0.594262635
#>  [4330,]  2.028305e-01  2.001455e-01  0.2028305329  0.623852946
#>  [4331,]  7.919750e-03  1.546697e-01  0.7711869069  0.144012463
#>  [4332,]  4.127067e-02  4.737138e-01  0.4737138345  0.473713835
#>  [4333,]  2.873564e-01  2.382974e-01  0.2382973530  0.238297353
#>  [4334,]  3.025959e-01  3.025959e-01  0.3025959319  0.302595932
#>  [4335,] -4.294044e-02  4.149859e-01  0.9133505004  0.802897860
#>  [4336,]  1.354713e-01 -1.646879e-02 -0.0164687897  0.653475781
#>  [4337,] -1.475467e-01  1.692555e-01 -0.0068743143 -0.147546746
#>  [4338,]  3.794951e-01  3.794951e-01  0.3794951453  0.469185574
#>  [4339,]  2.401285e-01  4.300139e-01  0.5364257703  0.777120855
#>  [4340,]  2.811509e-01  4.089440e-01  0.2811509052  0.891348504
#>  [4341,]  9.412239e-02  8.265544e-01  0.3523921234  0.352392123
#>  [4342,] -2.468505e-01  4.751041e-01  0.6185841799  0.241109463
#>  [4343,] -1.142226e-01  5.901043e-01  0.9283865244  0.590104291
#>  [4344,] -5.077184e-01  7.739510e-01  0.7739509834  0.751417670
#>  [4345,]  6.920247e-01  3.721556e-01  0.2138679245  0.834474649
#>  [4346,]  1.384870e-01  4.339059e-01  1.0815663444  1.081566344
#>  [4347,]  5.228146e-01  4.979947e-01  0.2080091270  0.738631591
#>  [4348,]  1.027126e-01  5.394861e-01  1.0923929973  0.204618362
#>  [4349,]  2.343306e-01  6.439887e-01  0.9040118105  1.078395162
#>  [4350,]  4.201183e-01  5.104006e-01  0.5104006301  0.995688530
#>  [4351,]  4.062666e-01  4.062666e-01  0.3131261785  0.313126178
#>  [4352,]  2.576316e-01  6.330740e-01  0.2576315920  0.633073966
#>  [4353,]  1.238996e-01  7.591665e-01  0.7591665358  0.759166536
#>  [4354,]  7.524929e-02  6.840656e-01  0.5856061093  0.684065554
#>  [4355,] -1.070521e-03 -1.070521e-03  0.4669305830  0.466930583
#>  [4356,]  2.865935e-01  2.865935e-01  0.2865934965  0.813752098
#>  [4357,]  9.977005e-02  9.977005e-02  0.3181431846  0.520547637
#>  [4358,] -5.286571e-01  7.272729e-01  0.6345296794  0.634529679
#>  [4359,]  3.216210e-02  7.490904e-01  0.8993852077  0.899385208
#>  [4360,]  6.808795e-02  7.735423e-01  0.7735423291  0.773542329
#>  [4361,]  2.811129e-01  5.690803e-01  0.5690803392  0.630816757
#>  [4362,]  1.766861e-01  1.766861e-01  0.3253335427  0.944687472
#>  [4363,]  2.686846e-01  4.285292e-01  0.8005284769  0.800528477
#>  [4364,]  3.365417e-01  4.198335e-01  0.4765823578  0.476582358
#>  [4365,]  3.271207e-01  1.900932e-01  0.2703513005  0.625372310
#>  [4366,]  2.568010e-01  2.568010e-01  0.2568009898  0.256800990
#>  [4367,]  4.442121e-01  4.442121e-01  0.4442120928  0.444212093
#>  [4368,]  3.667696e-01  3.667696e-01  0.3667695731  0.366769573
#>  [4369,]  6.398009e-01  6.398009e-01  0.6398008693  0.639800869
#>  [4370,]  6.567514e-01  6.567514e-01  0.6567513889  0.656751389
#>  [4371,]  3.784565e-01  6.380252e-01  0.6380252194  0.638025219
#>  [4372,]  2.176168e-01  4.945286e-01  0.7043468334  0.494528563
#>  [4373,]  3.648188e-01  6.301977e-01  0.2650360712  0.630197692
#>  [4374,]  1.158383e-01  5.605790e-01  0.6202276528  0.703368333
#>  [4375,] -4.921342e-02  2.513320e-01  0.2513319542  0.925426930
#>  [4376,]  3.313311e-01  2.940554e-01  0.4101325487  0.883280826
#>  [4377,]  1.247918e-01  4.256081e-01  0.3968908127  0.518992990
#>  [4378,]  3.227275e-01  1.503211e-01  0.3227274646  0.956838801
#>  [4379,] -8.664811e-02  5.889812e-01  0.8915784128  0.863888031
#>  [4380,] -9.798880e-02  4.810931e-01  0.7632391074  0.653993110
#>  [4381,] -2.965985e-01  4.057219e-01  0.5599854727  0.241056239
#>  [4382,] -8.560161e-02  7.484888e-01  0.4225097294  0.772652818
#>  [4383,]  5.727585e-01  5.727585e-01  0.5727584906  0.572717732
#>  [4384,]  4.737033e-01  4.737033e-01  0.4737032603  0.473703260
#>  [4385,]  3.929232e-01  3.929232e-01  0.3929231691  0.392923169
#>  [4386,]  4.629275e-01  4.629275e-01  0.4629274585  0.462927458
#>  [4387,]  5.578530e-02  4.540686e-01  0.0557852975  0.454068594
#>  [4388,]  2.167580e-01  2.167580e-01  0.8014569267  0.801456927
#>  [4389,] -5.749339e-02  5.702234e-02  0.2903550244  1.056526535
#>  [4390,] -1.112548e-01  5.332410e-01  0.4846945290  0.533240986
#>  [4391,]  4.163373e-01  7.829979e-01  0.3582882226  0.358288223
#>  [4392,]  2.947251e-01  2.947251e-01  0.2947250668  0.563946804
#>  [4393,] -4.107183e-02  2.004308e-01  0.4734239648  0.661437671
#>  [4394,]  1.403166e-01  5.711765e-01  0.6084741370  0.609362317
#>  [4395,]  3.020147e-01  4.603283e-01  0.4970447860  0.753252383
#>  [4396,] -2.502537e-01  4.026345e-01  0.3553737777  0.622933153
#>  [4397,]  5.414576e-01  3.836117e-01  0.5414575814  0.541457581
#>  [4398,]  2.141592e-01  3.520515e-01  0.3520514980  1.356894348
#>  [4399,]  4.840455e-01  3.286141e-01  0.4840455244  0.774080643
#>  [4400,]  7.869395e-02  4.268876e-01  0.4047124819  0.377679544
#>  [4401,] -3.603726e-01  4.761136e-01  0.6871990128  0.553585273
#>  [4402,] -1.348558e-01  5.686076e-01  0.7700489502  0.469735894
#>  [4403,]  2.571958e-01  5.516704e-01  0.5516704463  0.551670446
#>  [4404,]  3.728030e-01  3.728030e-01  0.3835595970  0.372802980
#>  [4405,]  3.213972e-01  4.740969e-01  0.3213971788  0.814651191
#>  [4406,] -8.520337e-03  3.824450e-01  0.3824450249  0.942289970
#>  [4407,] -5.865468e-02  6.198540e-01  0.7320264706  0.584893162
#>  [4408,]  6.025112e-01  9.609186e-01  0.3913382673  0.602511218
#>  [4409,] -1.662734e-01  4.970874e-01  0.4577828207  0.420040109
#>  [4410,]  1.138358e-01  1.845700e-01  0.5592726943  0.592140809
#>  [4411,]  1.044698e-01  3.545118e-01  0.4048916814  0.396003584
#>  [4412,]  1.200148e-01  4.377115e-01  1.1972069570  0.843057971
#>  [4413,] -8.081339e-03  2.515433e-01 -0.0080813386  0.670732665
#>  [4414,]  3.273953e-01  4.734909e-01  0.4734909249  0.597563869
#>  [4415,]  4.186054e-02  4.332260e-01  0.7558243067  0.755824307
#>  [4416,]  1.157397e-01  4.065631e-01  0.8495427827  0.406563127
#>  [4417,]  5.484686e-01  1.131539e-01  0.6444715770  0.587199736
#>  [4418,]  5.822551e-01  4.460249e-01  0.8288533963  0.802608449
#>  [4419,] -7.772743e-01  5.516999e-01  0.7695514999  0.689000288
#>  [4420,] -1.999259e-02  8.680323e-01  0.3947546296  0.868032285
#>  [4421,]  4.128519e-01  5.035886e-01  0.4590679594  0.668368825
#>  [4422,]  1.009980e-01  4.671633e-01  0.4671632837  0.467163284
#>  [4423,]  2.894636e-01  6.140884e-01  0.6140884280  0.564693448
#>  [4424,]  3.283315e-01  6.006964e-01  0.6006964015  0.600696402
#>  [4425,]  3.460575e-01  3.460575e-01  0.3460575176  0.558104361
#>  [4426,]  3.739475e-01  3.739475e-01  0.3739475226  0.373947523
#>  [4427,]  3.879092e-01  4.212376e-01  0.3879092037  0.387909204
#>  [4428,]  4.284318e-01  4.326171e-01  0.6014280699  0.726156591
#>  [4429,]  3.734531e-01  5.840623e-01  0.3032369132  0.727478755
#>  [4430,]  5.275958e-01  8.398009e-01  0.0500519505  0.593156861
#>  [4431,]  8.474255e-01  4.991036e-01  0.8474254924  0.847425492
#>  [4432,] -5.278738e-02  1.465107e-01  0.6891175718 -0.052787381
#>  [4433,]  5.723444e-01  5.723444e-01  0.9700322410  1.065655486
#>  [4434,]  1.865103e-01  1.865103e-01  0.7300474376  0.730047438
#>  [4435,] -5.989703e-02  4.913541e-01  1.1966065673  0.480290310
#>  [4436,]  4.126804e-01  4.656220e-01  0.4316401950  0.465622039
#>  [4437,] -1.075831e-01  7.807946e-01  0.4885952798  0.780794611
#>  [4438,]  1.418216e-01  5.219323e-01  0.4886710032  0.959557728
#>  [4439,]  5.254326e-01  8.709142e-01  0.5704781246  0.870914200
#>  [4440,]  4.063696e-01  9.149022e-01  0.5612029259  1.207536884
#>  [4441,] -4.628789e-02  7.381711e-01  0.7381711180  0.772000049
#>  [4442,]  1.547922e-01  7.215313e-01  0.6125981358  0.777065401
#>  [4443,]  1.542045e-01  8.411852e-02  0.8732766517  0.708114250
#>  [4444,]  2.043868e-01  4.058220e-01  0.6573460963  0.761767325
#>  [4445,] -8.663532e-01  5.331317e-01  0.4751567284  0.794047373
#>  [4446,]  2.853491e-01  2.468723e-01  0.4214525146  0.285349055
#>  [4447,] -4.043973e-02  3.248382e-01  0.6581370072  0.658137007
#>  [4448,] -3.467034e-01  3.360569e-01  0.7599946560  0.524792592
#>  [4449,]  3.584456e-01  6.336320e-01  0.2068614089  0.752101780
#>  [4450,]  7.923875e-02  8.319499e-01  0.0792387549  0.936525470
#>  [4451,]  2.917213e-03  8.563545e-01  0.6244264179  0.856354522
#>  [4452,]  2.507327e-01  2.055246e-01  0.3498484835  0.902000586
#>  [4453,]  1.301080e-01  3.073457e-01  0.6551416512  0.629088194
#>  [4454,]  5.985925e-01  6.389369e-01  0.5976917271  0.598592535
#>  [4455,]  2.916273e-01  2.916273e-01  0.7194058738  1.205223658
#>  [4456,]  5.889210e-02  7.966639e-01  0.1573968530  0.796663916
#>  [4457,]  1.412756e-01 -6.985749e-04  0.5730462136  1.145459520
#>  [4458,]  4.080193e-01  3.135057e-01  1.1438059693  0.372974471
#>  [4459,] -1.648106e-01  4.813015e-01  0.5736817815  0.593874863
#>  [4460,] -3.294111e-01  3.789655e-01  0.8633657781  0.802802996
#>  [4461,]  6.340868e-01  4.620091e-01  0.6288319801  0.946105240
#>  [4462,]  5.142433e-01  7.856282e-01  0.5142433266  0.785628242
#>  [4463,]  3.342236e-01  6.048246e-01  0.6048245579  0.604824558
#>  [4464,]  4.801634e-02  4.769741e-01  0.4769740805  0.476974080
#>  [4465,]  1.270599e-01  7.953161e-01  0.5975322655  0.597532265
#>  [4466,]  4.023920e-01  6.910149e-01  0.6910148908  0.691014891
#>  [4467,]  3.421457e-01  5.145288e-01  0.5145287916  0.514528792
#>  [4468,]  5.187566e-01  4.435928e-01  0.5204184935  0.520418494
#>  [4469,]  5.498114e-01  5.498114e-01  0.5498114049  0.549811405
#>  [4470,]  5.090761e-01  5.090761e-01  0.5090761194  0.509076119
#>  [4471,]  1.653074e-01  3.458202e-01  0.1653074098  0.345820189
#>  [4472,]  3.767823e-01  5.008118e-01  0.3767822944  0.376782294
#>  [4473,]  2.858477e-01  7.629244e-01  0.1368870237  0.649237874
#>  [4474,] -3.529391e-01  6.838183e-01  0.3411888982  0.341188898
#>  [4475,] -1.368835e-01  1.105361e+00  0.6612570184  0.883028243
#>  [4476,]  9.602739e-03  8.090333e-01  0.6844147115  0.809033292
#>  [4477,] -3.479664e-02  8.242739e-01  0.8897231712  0.839762552
#>  [4478,]  4.349764e-01  4.349764e-01  0.3620911358  0.434976390
#>  [4479,]  5.797814e-01  5.797814e-01  0.6169468183  0.579781414
#>  [4480,]  5.029458e-01  5.029458e-01  0.4889380046  0.502945802
#>  [4481,]  1.451356e-01  4.332488e-01  0.3678907917  0.367890792
#>  [4482,]  5.742280e-01  7.405775e-01  0.7224432724  0.574227989
#>  [4483,]  2.734663e-01  3.354618e-01  0.6551025568  0.655102557
#>  [4484,] -1.312571e-01  3.037187e-01  0.7633757182  0.763375718
#>  [4485,]  1.392251e-01  4.820324e-01  0.6640660784  0.664066078
#>  [4486,]  2.368106e-01  7.643928e-01  0.2368105747  0.764392818
#>  [4487,]  6.928685e-02  5.407114e-01  0.0692868488  0.540711359
#>  [4488,]  3.294869e-01  8.078041e-01  0.2458905829  0.807804134
#>  [4489,]  2.630544e-01  5.948535e-01  0.6899950263  0.594853529
#>  [4490,] -1.335899e-01  7.934574e-01  0.2702201045  0.793457371
#>  [4491,] -4.749292e-03  7.484349e-01  0.1869079925  0.905739866
#>  [4492,]  3.259467e-01  5.728288e-01  0.5728287687  0.572828769
#>  [4493,]  7.062029e-01  7.062029e-01  0.7062029298  1.121545617
#>  [4494,]  7.601614e-01  7.601614e-01  0.7973802608  0.642446472
#>  [4495,]  4.583148e-02  3.362696e-01  0.6042663179  0.517130613
#>  [4496,]  4.120584e-01  7.180892e-01  0.7083837466  0.640412953
#>  [4497,]  1.198688e-01  3.197099e-01  0.5227339413  0.522733941
#>  [4498,]  2.100808e-01  5.278096e-01  0.5278096272  0.910981454
#>  [4499,]  7.084114e-01  7.084114e-01  0.7084113526  0.708411353
#>  [4500,]  5.363370e-01  5.363370e-01  0.3837972790  0.536336950
#>  [4501,]  1.598919e-01  6.634347e-01  0.4531947681  0.453194768
#>  [4502,]  1.449976e-01  7.083452e-01  0.7083451684  0.708345168
#>  [4503,]  2.298289e-01  7.389660e-01  0.7389659798  0.738965980
#>  [4504,]  3.723166e-01  7.523543e-01  0.3798718883  0.752354286
#>  [4505,]  4.705638e-01  6.825578e-01  0.6825578265  0.389156865
#>  [4506,]  4.033445e-01  4.033445e-01  0.4033445394  0.967432842
#>  [4507,]  3.144987e-01  7.697279e-01  0.2793138730  0.769727908
#>  [4508,]  3.569554e-01  2.880132e-01  0.2880131643  0.672687732
#>  [4509,]  4.599113e-01  7.651093e-01  0.4599112797  0.765109301
#>  [4510,]  4.798848e-01  5.020959e-01  0.6842754643  0.479884769
#>  [4511,] -1.589521e-01  2.361440e-01  0.4944869747  0.431231187
#>  [4512,]  5.959725e-02  2.369800e-01  0.0595972528  0.507619620
#>  [4513,]  2.251292e-01  3.338244e-01  0.4667460296  0.225129221
#>  [4514,]  5.121280e-01  5.121280e-01  0.2908379081  1.130621199
#>  [4515,]  2.960821e-01  4.236524e-01  0.4236524340  1.023795144
#>  [4516,] -2.001399e-01  5.498658e-01  0.5111258406  0.549865789
#>  [4517,]  3.497274e-01  3.819165e-01  0.6530816344  0.381916532
#>  [4518,]  1.762245e-01  3.540226e-01  0.1210249259  0.659110369
#>  [4519,]  1.246700e-01  4.691796e-01  0.4691795834  0.691517827
#>  [4520,]  4.911806e-01  5.536644e-01  0.6679806999  0.667980700
#>  [4521,]  1.421469e-01  5.239465e-01  0.5239464571  0.743038443
#>  [4522,]  1.516943e-01  1.516943e-01  0.4911537729  0.986773214
#>  [4523,]  1.676102e-02  7.940245e-01  0.7940245497  0.903113631
#>  [4524,]  4.318803e-01  6.358319e-01  0.4318802814  1.105681212
#>  [4525,]  3.213044e-02  6.552133e-01  0.6022856406  0.602285641
#>  [4526,]  2.356345e-02  4.712113e-01  0.3112496530  0.377490994
#>  [4527,]  2.519338e-01  2.519338e-01  0.4378906871  1.023070494
#>  [4528,]  2.313958e-01  2.313958e-01  0.2904933490  0.290493349
#>  [4529,]  3.204115e-01  3.204115e-01  0.3204115462  1.016611364
#>  [4530,]  3.685926e-01  3.295972e-01  0.3685926481  1.269918919
#>  [4531,]  1.081125e-01  2.011021e-01  0.1081124568  0.715881311
#>  [4532,]  2.377173e-01  4.743912e-01  0.4743912327  0.474391233
#>  [4533,]  2.045928e-01  5.415924e-01  0.5415924128  0.541592413
#>  [4534,]  1.967534e-01  1.387980e-01  0.6121490860  0.196753449
#>  [4535,]  2.527494e-01  2.527494e-01  0.6284302596  0.252749438
#>  [4536,]  2.943704e-01  2.943704e-01  0.6471123971  0.647112397
#>  [4537,]  5.486437e-01  5.486437e-01  0.5486437384  0.548643738
#>  [4538,]  3.199789e-01  8.276289e-01  0.8276289070  0.827628907
#>  [4539,]  4.820147e-01  4.820147e-01  0.4820147195  0.678789984
#>  [4540,] -4.868718e-02  1.745371e-01  0.6012039703  0.756495144
#>  [4541,] -2.449062e-03  6.854858e-01  0.2442581851  1.075047791
#>  [4542,]  4.079210e-02  2.414106e-01  0.1922115520  0.192211552
#>  [4543,] -4.595434e-01  3.060197e-01  0.4639835302  0.937280720
#>  [4544,] -1.203414e-01  1.950189e-01  0.6412546457  0.641254646
#>  [4545,]  2.590816e-01  9.850758e-02  0.9210928829  0.921092883
#>  [4546,]  1.877592e-01  3.009172e-01  0.2238015743  1.036953629
#>  [4547,]  2.471922e-01  2.471922e-01 -0.1735336690  0.512144693
#>  [4548,]  3.511947e-01  4.392900e-01  0.4392899937  0.661169669
#>  [4549,]  5.765621e-02  6.634440e-01  0.1724637096  0.663443958
#>  [4550,]  1.553155e-01  8.744841e-01  0.7675060891  0.767506089
#>  [4551,]  3.496732e-01  8.800197e-01  0.3496731544  0.880019740
#>  [4552,]  2.573024e-01  2.573024e-01  0.2573023880  1.100408724
#>  [4553,]  5.012029e-01  5.216543e-01  0.5012028854  0.501202885
#>  [4554,] -5.287409e-02  7.341847e-01  0.6888962303  0.688896230
#>  [4555,]  2.293937e-02  6.208243e-01  0.6208242592  0.620824259
#>  [4556,]  6.756410e-01  6.756410e-01  0.6756409834  0.675640983
#>  [4557,]  8.206663e-02  8.077199e-01  0.8077198581  0.807719858
#>  [4558,]  3.780219e-01  3.780219e-01  0.3780219043  0.378021904
#>  [4559,]  5.294397e-01  5.294397e-01  0.5294397319  0.529439732
#>  [4560,]  7.450802e-01  7.450802e-01  0.7450801820  0.745080182
#>  [4561,]  4.242298e-01  4.242298e-01  0.4242298413  0.424229841
#>  [4562,]  4.765784e-01  4.765784e-01  0.4765783767  0.476578377
#>  [4563,]  7.510810e-01  7.510810e-01  0.7510810212  0.751081021
#>  [4564,]  3.096649e-01  3.096649e-01  0.3096649498  0.309664950
#>  [4565,]  3.460767e-01  3.460767e-01  0.9218647589  1.077300751
#>  [4566,]  3.740536e-01  3.740536e-01  0.3740536205  0.675167356
#>  [4567,] -3.905525e-01  5.998272e-01  0.5998271706  0.599827171
#>  [4568,]  5.216046e-01  5.216046e-01  0.5216046157  0.521604616
#>  [4569,]  2.885601e-01  3.150924e-01  0.2885601399  0.288560140
#>  [4570,] -6.946097e-02  7.523018e-01  0.6504877322  0.487619764
#>  [4571,]  4.945411e-02  1.093030e-01  0.8174354729  0.817435473
#>  [4572,]  7.211349e-01  3.331643e-01  0.5705568064  0.721134912
#>  [4573,]  2.035030e-01  7.153480e-01  0.8187430029  0.818743003
#>  [4574,]  4.213328e-01  6.646395e-01  0.2726699461  0.578452681
#>  [4575,] -2.217120e-01  7.321922e-01  0.3529591108  0.607170943
#>  [4576,] -1.093103e-01  7.117942e-01  0.7117942112  0.605693353
#>  [4577,]  5.327216e-01 -1.205699e-01  0.5330604469  0.579691955
#>  [4578,]  2.519461e-01  6.129943e-01  0.6129943303  0.467939163
#>  [4579,]  1.672275e-02  5.578692e-01  0.8400473824  0.557869250
#>  [4580,] -7.388435e-02  6.606065e-01  0.6606064828  0.660606483
#>  [4581,]  5.508850e-02  5.742256e-01  0.5742255744  0.574225574
#>  [4582,] -1.988017e-01  2.875921e-01  0.2875921018  0.431738790
#>  [4583,]  2.952873e-01  2.952873e-01  0.2952873354  0.693987422
#>  [4584,]  5.598359e-01  5.598359e-01  0.5598358750  0.559835875
#>  [4585,]  3.289842e-01  5.834854e-01  0.5834853734  0.706236866
#>  [4586,]  5.785025e-01  7.712301e-01  0.5173929442  0.578502521
#>  [4587,]  7.453080e-01  7.453080e-01  0.7453080445  0.745308045
#>  [4588,]  2.195547e-01  6.466592e-01  0.6466592221  0.646659222
#>  [4589,]  4.534301e-01  3.361613e-01  0.3361612518  0.731661828
#>  [4590,]  3.022616e-01  3.074055e-01  0.3022616036  0.302261604
#>  [4591,] -3.462945e-02  3.764093e-01  0.3764093469  0.742135070
#>  [4592,]  4.005523e-01  8.072806e-01  0.7514972920  0.751497292
#>  [4593,]  2.918409e-01  2.918409e-01  0.2918409381  0.291840938
#>  [4594,]  4.289902e-01  4.289902e-01  0.4289901678  0.935638250
#>  [4595,]  5.633121e-01  5.633121e-01  0.5633121073  1.015635551
#>  [4596,]  2.137601e-01  4.957992e-01  0.2137600679  0.495799156
#>  [4597,] -1.499324e-01  4.746354e-01  0.4654573270  0.474635413
#>  [4598,]  1.084586e-01  7.921851e-01  0.2525158579  0.792185088
#>  [4599,]  2.803438e-01  3.425374e-01  0.3068586050  0.861802296
#>  [4600,]  3.251895e-01  3.412048e-01  0.6600160852  0.660016085
#>  [4601,] -1.019640e-01  6.541573e-01  0.6541572984  0.654157298
#>  [4602,]  3.105343e-02  8.127216e-01 -0.3540057030  0.983835064
#>  [4603,]  1.034852e+00  5.770364e-02  0.6451476100  0.084196362
#>  [4604,]  3.043855e-01  4.387799e-01  0.5479111780  0.423652240
#>  [4605,]  1.559053e-01  5.423016e-01  0.5986315350  0.542301622
#>  [4606,]  7.062791e-01  4.602221e-01  0.0016613764  0.446444817
#>  [4607,] -4.965266e-02  5.043315e-01  0.2508052884  0.525444021
#>  [4608,]  1.975062e-01  4.317421e-01  0.4312481955  0.976162011
#>  [4609,]  1.690953e-01 -8.965566e-02  0.6354993788  0.974446560
#>  [4610,] -4.707940e-01  7.467987e-01  0.3806327395  0.400480317
#>  [4611,]  2.434837e-01  2.434837e-01 -0.0080301951  0.243483652
#>  [4612,]  1.046852e-01  7.867222e-01  0.1218031366  0.786722159
#>  [4613,] -1.501518e-01  4.845604e-01  0.4845604205  0.484560420
#>  [4614,]  1.012957e-01  1.012957e-01  0.1012957398  0.427523384
#>  [4615,]  2.072286e-01  5.845127e-01  0.5845126930  0.584512693
#>  [4616,]  3.262306e-01  3.262306e-01  0.3262306163  0.413528442
#>  [4617,]  4.264420e-01  5.962096e-01  0.5962095711  0.426442018
#>  [4618,]  5.866223e-01  5.866223e-01  0.5866222548  0.586622255
#>  [4619,]  5.043351e-01  5.043351e-01  0.5043350965  0.504335096
#>  [4620,]  5.219225e-04  6.200590e-01  0.6200590160  0.620059016
#>  [4621,]  5.613258e-01  5.613258e-01  0.5613258350  0.561325835
#>  [4622,]  8.412389e-01  8.412389e-01  0.8412388729  0.841238873
#>  [4623,]  8.278845e-01  8.278845e-01  0.8278845050  0.827884505
#>  [4624,]  3.486851e-01  4.533714e-01  0.3486851254  0.744758710
#>  [4625,]  5.024489e-01  6.289770e-01  0.6289770144  0.628977014
#>  [4626,] -1.778166e-01  7.388780e-01  0.7388780475  0.738878047
#>  [4627,] -4.993981e-02  6.742367e-01  0.6742366861  0.674236686
#>  [4628,] -2.575880e-01  6.267767e-01  0.6267766678  0.858784018
#>  [4629,] -3.235245e-01  8.230270e-01  0.7242731768  0.986761830
#>  [4630,]  3.343855e-01  9.714117e-01  0.2535381018  0.791096243
#>  [4631,]  3.930321e-01  2.688676e-01  0.2997351548  0.997162567
#>  [4632,]  3.032701e-01  2.181937e-01  0.4563047746  0.966486183
#>  [4633,]  3.940389e-03  3.442385e-01  0.4693151874  0.344238486
#>  [4634,] -7.891875e-02  3.102087e-01  0.3102086819  0.843668616
#>  [4635,]  2.494555e-01  5.237717e-01  0.1206071086  0.724187304
#>  [4636,]  1.579679e-01  4.997025e-01  0.4997025074  0.826435298
#>  [4637,]  2.287778e-01  9.634160e-01  0.4368741578  0.841546489
#>  [4638,]  5.363899e-02  5.205109e-01  0.5205108545  0.520510855
#>  [4639,]  7.792031e-01  2.639030e-01  0.8206270467  0.903377581
#>  [4640,] -7.856427e-02  2.323925e-01  0.2323925105  1.012801741
#>  [4641,] -1.392080e-01  5.663776e-01  0.1777386443  0.913936727
#>  [4642,] -3.051008e-01  6.495593e-01  0.5380629828  0.939070270
#>  [4643,] -3.278717e-01  6.450480e-01  0.5095571864  0.938110292
#>  [4644,]  5.802507e-02  7.427153e-01  0.8863259175  0.754809062
#>  [4645,]  5.512081e-02  6.485344e-01  0.6485343641  0.648534364
#>  [4646,]  1.851682e-01  5.265503e-01  0.1851682246  0.526550332
#>  [4647,]  1.656852e-01  6.431856e-01  0.6431855691  0.911501556
#>  [4648,]  2.434428e-01  2.434428e-01  0.2434427800  0.695615856
#>  [4649,]  6.064400e-01  6.064400e-01  0.6064400279  0.606440028
#>  [4650,]  3.461007e-02  5.900726e-01  0.0346100693  0.590072606
#>  [4651,]  2.877692e-02  5.796862e-01  0.5796862334  0.028776918
#>  [4652,]  4.495439e-01  4.495439e-01  0.3259959993  0.325995999
#>  [4653,] -3.267407e-01  6.302180e-01  0.6302179619  0.710322598
#>  [4654,]  3.830536e-01  6.730877e-01  0.6730877240  0.673087724
#>  [4655,]  3.123421e-01  8.323369e-01  0.3123420959  0.832336939
#>  [4656,]  5.966231e-01  3.021857e-01  0.5966230926  0.879079627
#>  [4657,]  2.321905e-01  5.931274e-01  0.5334763216  0.593127412
#>  [4658,] -2.273358e-01  3.762517e-01  0.3762517243  0.770915297
#>  [4659,]  3.697781e-01  3.479147e-01  0.4194194898  0.369778059
#>  [4660,]  4.115723e-01  9.544881e-01  0.9433119847  0.954488054
#>  [4661,]  2.786655e-01  7.746042e-01  0.5518395006  1.041375443
#>  [4662,]  9.578856e-02  9.578856e-02  0.5744967279  0.574496728
#>  [4663,]  7.572315e-01  7.572315e-01  0.7572315472  0.757231547
#>  [4664,]  4.385851e-01  7.628688e-01  0.4385850893  0.487917166
#>  [4665,]  6.369241e-01  6.369241e-01  0.6369241116  0.702148183
#>  [4666,] -2.914714e-02  5.692300e-01  0.1519487523  0.588465068
#>  [4667,]  2.052596e-02  2.646462e-01  0.5901754314  0.822120861
#>  [4668,]  3.363385e-01  3.363385e-01  0.5729618362  0.336338496
#>  [4669,]  5.776364e-01  5.776364e-01  0.3854015946  0.577636371
#>  [4670,]  6.096468e-01  6.096468e-01  0.6096468221  0.609646822
#>  [4671,]  6.034460e-01  2.844536e-01  0.5131340045  0.843077658
#>  [4672,] -2.001514e-01  6.619659e-01  0.7147978632  0.661965900
#>  [4673,]  5.742888e-01  1.810503e-01  0.5827406332  0.582740633
#>  [4674,]  4.830979e-01  5.197460e-01  0.3791265267  0.409527777
#>  [4675,] -9.888433e-02  9.431078e-01  0.6631119705  0.209480596
#>  [4676,]  8.129090e-02  4.564229e-01  0.6477204871  0.783434161
#>  [4677,]  2.083027e-01  6.040303e-01  0.9563313791  0.604030338
#>  [4678,]  3.893927e-01  3.893927e-01  0.3893926531  0.389392653
#>  [4679,]  4.731695e-01  4.731695e-01  0.4731695005  0.473169501
#>  [4680,]  1.735425e-01  5.772980e-01  0.5772980101  0.577298010
#>  [4681,]  4.095017e-01  4.095017e-01  0.4095016962  0.574926723
#>  [4682,]  6.688212e-01  8.347249e-01  0.2748858145  0.725845193
#>  [4683,]  2.897471e-01  6.033872e-01  0.8837661399  0.883766140
#>  [4684,] -9.217588e-02  3.750172e-01  0.3750171621  0.375017162
#>  [4685,]  1.278389e-01  6.229427e-01  0.6229426735  0.622942673
#>  [4686,]  3.444601e-02  6.936813e-01  0.6936813194  0.693681319
#>  [4687,]  2.243134e-01  9.812069e-01  0.3847433724  0.981206923
#>  [4688,]  4.500697e-01  4.500697e-01  0.4500697141  0.560216571
#>  [4689,]  4.045485e-01  4.045485e-01  0.4446843554  0.404548473
#>  [4690,]  3.918276e-01  3.918276e-01  0.4904697810  0.391827565
#>  [4691,]  5.058561e-01  6.682733e-01  0.6682732699  0.668273270
#>  [4692,] -2.252967e-01  6.331145e-01  0.6331144741  0.633114474
#>  [4693,]  5.109842e-02  7.213537e-01  0.7213536685  0.721353668
#>  [4694,]  5.417469e-01  4.511370e-01  0.4511369614  0.541746856
#>  [4695,]  1.539211e-01  3.476004e-01  0.6230822417  0.518771263
#>  [4696,] -1.992124e-02  3.868757e-01  0.1388505994  0.851863434
#>  [4697,]  5.565525e-01  5.003259e-01  0.5003258563  0.500325856
#>  [4698,]  3.562628e-01  3.562628e-01  0.3562627704  0.509838396
#>  [4699,]  4.611891e-01  4.611891e-01  0.4611890859  0.461189086
#>  [4700,]  3.819767e-01  3.819767e-01  0.3819766842  0.381976684
#>  [4701,]  4.286682e-01  4.286682e-01  0.3822253995  0.428668227
#>  [4702,]  5.645372e-01  5.645372e-01  0.3586053842  0.564537240
#>  [4703,]  2.328661e-01  5.366491e-01  0.2328661367  0.582797538
#>  [4704,]  2.299980e-01  7.424995e-01  0.7424995313  0.742499531
#>  [4705,]  3.786606e-01  6.139386e-01  0.6139385630  0.613938563
#>  [4706,]  5.037939e-01  4.431487e-01  0.4607711448  0.443148656
#>  [4707,]  4.600961e-01  4.600961e-01  0.4600960611  0.460096061
#>  [4708,]  6.451243e-01  6.451243e-01  0.6451242725  0.645124273
#>  [4709,]  5.380995e-02  7.179347e-01  0.7179346971  0.717934697
#>  [4710,]  4.246770e-01  7.945099e-01  0.7945098872  0.215228826
#>  [4711,]  4.483594e-01  4.483594e-01  0.4483593684  0.472424850
#>  [4712,]  5.163747e-01  5.163747e-01  0.5163746884  0.516374688
#>  [4713,]  6.495844e-01  6.495844e-01  0.6971561378  0.649584449
#>  [4714,]  5.141261e-01  5.141261e-01  0.5141260985  0.514126099
#>  [4715,]  3.598555e-01  3.598555e-01  0.3598555142  0.359855514
#>  [4716,] -1.415569e-01  7.721286e-01  0.7721286020  0.772128602
#>  [4717,]  6.073068e-01  6.073068e-01  0.6073067664  0.607306766
#>  [4718,]  2.730157e-01  2.730157e-01  0.8354608430  0.283299750
#>  [4719,]  3.349797e-01  3.697742e-01  0.3697742051  0.664792439
#>  [4720,]  3.603966e-01  6.892951e-01  0.7897748867  0.360396629
#>  [4721,]  4.233388e-01  4.233388e-01  0.4233388265  0.423338826
#>  [4722,]  7.077801e-01  7.077801e-01  0.7077800669  0.707780067
#>  [4723,]  4.910313e-01  4.910313e-01  0.4910313375  0.491031337
#>  [4724,]  4.823878e-01  4.823878e-01  0.4823878336  0.482387834
#>  [4725,] -9.480037e-02  5.110245e-01  0.2739031617  0.511024476
#>  [4726,]  5.397638e-01  5.397638e-01  0.5397638018  0.539763802
#>  [4727,]  1.992663e-01  1.992663e-01  0.1992662649  0.199266265
#>  [4728,]  5.916381e-01  5.916381e-01  0.5916381017  0.591638102
#>  [4729,]  6.406535e-01  6.406535e-01  0.6406535456  0.640653546
#>  [4730,]  2.930259e-01  2.930259e-01  0.6691040402  0.669104040
#>  [4731,]  2.846476e-01  2.846476e-01  0.2846475958  0.486174840
#>  [4732,]  2.054025e-01  6.079215e-01  0.3068925348  0.607921478
#>  [4733,]  4.716301e-02  4.515176e-01  0.4515176227  0.289788278
#>  [4734,] -1.305336e-01  2.384649e-01  0.4833291157  0.483329116
#>  [4735,] -1.285588e-01  1.471220e-01  0.1471220399  0.770222540
#>  [4736,] -3.058641e-01  6.190040e-01  0.4091888002  0.470691709
#>  [4737,] -9.836346e-02  6.679064e-02  0.3023397507  0.302339751
#>  [4738,]  1.838861e-01  5.529040e-01 -0.0161968663  0.752943605
#>  [4739,]  5.040323e-01  5.962550e-01  0.5962550464  0.596255046
#>  [4740,]  5.718762e-01  5.718762e-01  0.5718761528  0.571876153
#>  [4741,]  4.785184e-01  4.785184e-01  0.4785183746  0.626585252
#>  [4742,]  4.399099e-01  4.399099e-01  0.4399099030  0.439909903
#>  [4743,] -2.350727e-01  2.888197e-01  1.0861295617  1.086129562
#>  [4744,]  2.159326e-01  2.159326e-01  0.2159325660  0.958943987
#>  [4745,]  3.550092e-01  3.550092e-01  0.2615649135  0.355009221
#>  [4746,]  4.431143e-01  1.623057e-01  0.6661904152  0.666190415
#>  [4747,]  8.175762e-02  5.442103e-01  0.7252162040  0.725216204
#>  [4748,] -6.736479e-02  1.359319e-01  0.8730173934  0.543510504
#>  [4749,]  7.648169e-01  1.801111e-01  0.5395806917  0.539580692
#>  [4750,] -5.137992e-02  5.375627e-01  0.5375627175  0.774179159
#>  [4751,]  1.909555e-01  8.022124e-01  0.7081354425  0.708135442
#>  [4752,]  2.113067e-01  7.374364e-01  0.5088554467  0.737436388
#>  [4753,]  5.080666e-02  4.506460e-01  0.7633519424  0.763351942
#>  [4754,]  4.579594e-01  4.740317e-01  0.8069296277  0.474031726
#>  [4755,]  2.626788e-01  2.626788e-01  0.3707474434  1.034884519
#>  [4756,]  1.243127e-01  5.028691e-01  0.3656603563  0.913133203
#>  [4757,]  5.554790e-01  6.652653e-01  0.2574274610  0.887880068
#>  [4758,]  2.179207e-01  6.733261e-01  0.2329141158  0.499805788
#>  [4759,]  8.883857e-02  7.628554e-01  0.3312726415  1.122592468
#>  [4760,]  9.514973e-02  4.841252e-01  0.5470347739  0.454664070
#>  [4761,]  1.676004e-01  2.887258e-01  0.7851657593  0.785165759
#>  [4762,]  3.169923e-01  1.652817e-01  0.3169923370  0.316992337
#>  [4763,] -2.468983e-01  4.627456e-01  0.6008254675  0.511778307
#>  [4764,]  9.894165e-02  6.505671e-01  0.9828703172  0.650567112
#>  [4765,]  1.718560e-01  6.471646e-01  0.6471645724  0.647164572
#>  [4766,]  6.327197e-01  6.327197e-01  0.6327196852  0.632719685
#>  [4767,]  5.962162e-02  7.090955e-01  0.7090955207  0.709095521
#>  [4768,]  2.869620e-01  1.554252e-01  0.6403691221  0.640369122
#>  [4769,]  3.807865e-01  5.544317e-01  0.5544316518  0.554431652
#>  [4770,]  4.597210e-01  7.451236e-01  0.4597209979  0.745123615
#>  [4771,]  5.604313e-01  7.375694e-01  0.7375694053  0.560431317
#>  [4772,]  3.569931e-01  3.569931e-01  0.3569930659  0.356993066
#>  [4773,]  3.839881e-01  3.839881e-01  0.3839881239  0.660084355
#>  [4774,]  3.049046e-01  3.049046e-01  0.5454535685  0.545453569
#>  [4775,]  3.631047e-01  3.631047e-01  0.3631046644  0.363104664
#>  [4776,]  5.372102e-01  5.372102e-01  0.5372102323  0.537210232
#>  [4777,]  6.661072e-01  6.661072e-01  0.6661071640  0.666107164
#>  [4778,]  4.694585e-01  4.694585e-01  0.4694585077  0.469458508
#>  [4779,]  3.071733e-01  3.071733e-01  0.3071732712  0.307173271
#>  [4780,]  4.448099e-01  4.448099e-01  0.4448099386  0.444809939
#>  [4781,]  4.341820e-01  4.341820e-01  0.4341820275  0.434182028
#>  [4782,]  1.084425e-01  6.582502e-01  0.6582501851  0.658250185
#>  [4783,]  3.452463e-01  3.452463e-01  0.3452463363  0.345246336
#>  [4784,]  3.260763e-01  3.260763e-01  0.3260763101  0.326076310
#>  [4785,]  1.891020e-01  1.891020e-01  0.1891019866  1.101730122
#>  [4786,]  2.085498e-01  5.250296e-01  0.5250295562  1.064423043
#>  [4787,]  1.192505e-01  4.702481e-01  0.4702481317  0.470248132
#>  [4788,]  2.496347e-01  2.496347e-01  0.2929064075  0.249634709
#>  [4789,]  3.881227e-01  4.476925e-01  0.4476924722  0.447692472
#>  [4790,]  5.774401e-01  5.708046e-01  0.2755206674  0.577440095
#>  [4791,] -5.322333e-02  4.081422e-01  0.4081421609  0.916763649
#>  [4792,]  3.547144e-01  4.946125e-01  0.7918712105  0.791871210
#>  [4793,]  4.037857e-01  4.204910e-01  0.4204909599  0.930652089
#>  [4794,]  3.025414e-01  3.025414e-01  0.7315054055  0.686091507
#>  [4795,]  2.352230e-01  2.352230e-01  0.6284490286  0.628449029
#>  [4796,]  5.280512e-01  6.456807e-01  0.5280512197  0.645680652
#>  [4797,] -1.188456e-01 -1.188456e-01  0.5450825462  0.545082546
#>  [4798,]  1.190183e-01  4.827349e-01 -0.2273537439  0.482734858
#>  [4799,] -8.530875e-02 -8.530875e-02  0.5297860472  0.822937955
#>  [4800,] -3.452540e-01  4.568983e-01  0.3597020798  0.728156407
#>  [4801,] -6.667345e-02  5.661783e-01  0.7027315577  0.364651636
#>  [4802,] -1.607519e-01  8.555226e-01  0.6168392723  0.169504284
#>  [4803,]  5.333009e-01  5.333009e-01  0.5333009398  0.533300940
#>  [4804,]  6.320898e-01  6.320898e-01  0.6320897666  0.632089767
#>  [4805,] -1.366477e-01  4.349030e-01  0.4349030058  0.434903006
#>  [4806,] -3.860847e-01  3.093522e-01  0.6516701679  0.651670168
#>  [4807,]  2.265000e-01  2.403540e-01  0.2264999838  0.839323222
#>  [4808,]  3.703617e-01  5.454080e-01  0.8076875436  1.237948206
#>  [4809,]  3.925657e-01  8.468725e-01  0.8468724831  0.846872483
#>  [4810,]  2.012614e-01  2.012614e-01  0.2012614191  0.667089020
#>  [4811,]  4.062745e-03  6.214835e-01  0.6214834657  0.495910263
#>  [4812,]  1.196049e-02  4.995563e-01  0.6345821091  1.301226527
#>  [4813,] -1.943247e-01  6.309466e-01  0.7534803826  0.227755138
#>  [4814,]  3.560459e-01  4.654672e-01  1.1440921294  0.541984397
#>  [4815,]  2.831477e-01  6.271042e-01  0.6271041752  0.552072571
#>  [4816,]  3.218155e-01  4.928887e-01  0.4146915390  1.136901406
#>  [4817,]  7.414755e-01  4.125996e-01  0.4435496429  0.741475478
#>  [4818,] -6.294755e-01  4.746794e-01  0.4746794266  0.602426283
#>  [4819,]  1.326208e-01 -2.592371e-02  0.1326207918  0.521861977
#>  [4820,]  5.527744e-02  3.830192e-01  0.3830191517  0.383019152
#>  [4821,]  4.165232e-01  4.165232e-01  0.4165232411 -0.008264640
#>  [4822,]  3.980108e-01  3.980108e-01  0.3980107548  0.398010755
#>  [4823,]  2.174501e-01  5.296319e-01  0.5296319003  0.628642328
#>  [4824,]  5.873014e-01  5.873014e-01  0.5873014331  0.587301433
#>  [4825,]  3.856311e-01  3.856311e-01  0.3856310554  0.385631055
#>  [4826,]  5.052319e-01  5.052319e-01  0.5052318554  0.505231855
#>  [4827,]  4.063843e-01  4.063843e-01  0.4063842924  0.406384292
#>  [4828,]  5.012752e-01  5.012752e-01  0.5012751772  0.501275177
#>  [4829,]  3.035931e-01  3.035931e-01  0.3035930555  0.303593056
#>  [4830,]  2.322375e-01  2.322375e-01  0.2322375211  0.232237521
#>  [4831,]  4.086893e-01  7.234067e-01  0.4086893444  0.723406749
#>  [4832,]  2.659937e-01  2.659937e-01  0.8240947843  0.725092440
#>  [4833,]  7.813411e-02  4.822966e-01  0.8611664364  0.482296595
#>  [4834,]  9.230245e-02  9.534572e-01  0.8466864957  0.846686496
#>  [4835,]  1.940091e-01  5.935243e-01  0.8834646938  0.593524347
#>  [4836,]  3.188175e-01  5.391466e-01  0.5391466359  0.318817491
#>  [4837,]  2.781145e-01  2.781145e-01  0.2781145209  0.799410740
#>  [4838,]  3.681304e-01  7.064301e-01  0.7064301206  0.706430121
#>  [4839,]  2.239662e-01  2.239662e-01  0.2239662181  0.223966218
#>  [4840,]  2.210214e-01  2.210214e-01  0.2210214157  0.221021416
#>  [4841,]  4.958295e-01  4.043392e-01  0.4958295378  0.404339240
#>  [4842,]  9.689867e-02  7.725048e-01  0.8550547722  0.772504816
#>  [4843,]  5.932619e-02  5.932619e-02  0.8703641699  0.870364170
#>  [4844,]  8.493991e-02  8.604418e-01  0.4361526839  0.860441758
#>  [4845,]  1.026544e-01  7.221346e-01  0.5787072933  0.578707293
#>  [4846,]  3.421892e-01  6.407348e-01  0.6407348324  0.316355649
#>  [4847,]  2.461837e-01  2.680465e-01  0.6682771457  0.668277146
#>  [4848,]  4.430489e-01  5.133677e-01  0.7106697578  0.710669758
#>  [4849,]  6.310600e-01  7.173199e-01  0.6558766287  0.214874361
#>  [4850,]  2.426672e-02  5.438766e-01  0.5493953089  0.189796731
#>  [4851,] -2.857256e-02  4.748733e-01  0.4748732948  0.899896747
#>  [4852,]  5.320085e-01  5.320085e-01  0.6343594618  0.532008463
#>  [4853,]  4.739918e-01  4.739918e-01  0.2792825739  0.473991846
#>  [4854,]  5.868179e-01  5.868179e-01  0.7547843248  0.818772698
#>  [4855,]  1.429059e-01  6.385600e-01  0.6385600311  0.799956627
#>  [4856,]  6.317826e-02  4.579878e-01  0.4579878332  0.457987833
#>  [4857,] -4.097718e-03  4.952953e-01  0.4952952541  0.791977813
#>  [4858,] -1.411893e-02  5.491885e-01  0.5491884864  0.549188486
#>  [4859,]  6.554703e-01  6.554703e-01  0.7800360731  0.780036073
#>  [4860,]  3.952302e-01  1.701100e-01  0.4284910996  0.395230184
#>  [4861,]  4.720528e-01  3.396187e-01  0.4720528067  0.472052807
#>  [4862,]  5.859855e-01  3.869898e-01  0.6095406785  0.585985543
#>  [4863,]  3.295312e-01  4.599481e-01  0.6206249080  1.051140071
#>  [4864,]  1.159673e-01  5.936644e-01  0.4013864777  1.395374286
#>  [4865,] -2.092381e-03 -2.092381e-03  0.2392383319  1.236043509
#>  [4866,]  5.773785e-01  5.773785e-01  0.5773784946  1.281983386
#>  [4867,]  7.234896e-01  8.077531e-01  1.3001999000  0.807753122
#>  [4868,]  5.365743e-01  5.365743e-01  0.5365742897  0.536574290
#>  [4869,]  2.758621e-01  2.758621e-01  0.2758620638  0.275862064
#>  [4870,]  3.627552e-01  6.305004e-01  0.6305004078  0.630500408
#>  [4871,] -1.545656e-01  6.345739e-01  0.6345739308  0.634573931
#>  [4872,]  5.143101e-01  5.143101e-01  0.5143101447  0.514310145
#>  [4873,]  5.746706e-01  5.746706e-01  0.5746706254  0.574670625
#>  [4874,]  5.762878e-01  5.762878e-01  0.5762878425  0.576287842
#>  [4875,]  5.496456e-01  5.496456e-01  0.5496455692  0.549645569
#>  [4876,]  3.258514e-01  3.258514e-01  0.3258514279  0.325851428
#>  [4877,]  4.738586e-01  4.738586e-01  0.4738586118  0.626983358
#>  [4878,] -7.789463e-01  3.549505e-01  0.3549504747  0.354950475
#>  [4879,]  6.891240e-01  6.891240e-01  0.6891240405  0.689124041
#>  [4880,]  5.390158e-01  5.390158e-01  0.5390157516  0.539015752
#>  [4881,] -1.391525e-01  2.687496e-01  0.1466929686  0.717379415
#>  [4882,]  2.950976e-01  2.950976e-01  0.5421247490  0.542124749
#>  [4883,]  5.221849e-01  2.230514e-01  0.5221848844  0.522184884
#>  [4884,]  2.197141e-01  4.566196e-01  0.4566196088  0.456619609
#>  [4885,] -9.452939e-02 -1.188940e-01  0.6872855106  0.687285511
#>  [4886,]  3.412409e-01  7.974967e-01  0.7214622151  0.721462215
#>  [4887,]  2.979047e-01  2.979047e-01  0.7082948789  0.315049463
#>  [4888,]  2.439226e-01  3.946419e-01  0.3946419494  0.639620235
#>  [4889,]  2.433200e-01  5.853208e-01  0.1326510107  0.871436943
#>  [4890,]  5.367373e-01  6.416374e-01  0.5367372934  0.563505058
#>  [4891,]  3.546848e-01  3.546848e-01  0.3546848023  0.293503542
#>  [4892,]  4.666097e-01  4.666097e-01  0.4666097304  0.466609730
#>  [4893,]  5.515367e-01  5.515367e-01  0.5515367266  0.551536727
#>  [4894,]  6.352272e-01  5.543641e-01  0.5543641171  0.554364117
#>  [4895,]  5.773470e-01  7.514382e-01  0.2109431879  0.577347001
#>  [4896,]  5.539452e-01  7.270985e-01  0.5098311001  0.553945160
#>  [4897,]  2.919641e-01  1.280974e+00  0.7855539819  0.785553982
#>  [4898,]  5.386665e-01  5.386665e-01  0.4666807411  0.538666525
#>  [4899,]  3.742869e-01  3.742869e-01  0.3742869126  0.374286913
#>  [4900,] -2.483771e-01  5.404875e-01  0.5404875475  0.692043235
#>  [4901,] -1.307781e-01  4.935343e-01  0.4935342835  0.493534284
#>  [4902,]  5.129008e-01  8.037950e-01  0.7406305914  0.512900778
#>  [4903,]  3.672152e-01  3.672152e-01  0.3672151904  0.367215190
#>  [4904,]  2.250548e-01  5.388411e-01  0.7838212390  0.783821239
#>  [4905,] -1.254890e-01 -2.859223e-01  0.6483066928  0.648306693
#>  [4906,] -1.891026e-01  5.053535e-01  0.6988233901  0.754007037
#>  [4907,]  6.658635e-02  5.142062e-01  0.4649497837  0.773907824
#>  [4908,]  4.378006e-01  3.807324e-01  0.3317057580  0.728951577
#>  [4909,]  7.177070e-01  2.535151e-01  0.3236271749  0.488299654
#>  [4910,]  9.243314e-02  4.402131e-01  0.4402130526  0.440213053
#>  [4911,] -1.026643e-01  5.912959e-01  0.5912959407  0.591295941
#>  [4912,] -1.502118e-01  7.386721e-01  0.8115639071  0.835337751
#>  [4913,] -1.216001e-01  6.940483e-01  0.6940483310  0.694048331
#>  [4914,]  3.166460e-03  3.166460e-03  0.7819880595  0.629430080
#>  [4915,] -2.006136e-02  7.558543e-01  1.0280194690  1.138433881
#>  [4916,] -5.995751e-02  1.046875e+00  1.0332555303  0.694452828
#>  [4917,]  4.860510e-01  9.749641e-01  0.8832639419  0.486050981
#>  [4918,]  4.144008e-01  5.440585e-01  0.5440584581  0.544058458
#>  [4919,]  5.578333e-01  3.648494e-01  0.5578332575  0.557833257
#>  [4920,]  3.201914e-01  5.223203e-01  0.2883067966  0.832068248
#>  [4921,]  5.091291e-01  4.943335e-01  0.5091290737  0.765321754
#>  [4922,]  5.187033e-01  5.187033e-01  0.9956907002  0.518703323
#>  [4923,]  4.808464e-01  4.808464e-01  0.4808464139  0.480846414
#>  [4924,]  2.390319e-01  4.977637e-01  0.4977636953  0.497763695
#>  [4925,]  5.836623e-01  5.836623e-01  0.5836622710  0.583662271
#>  [4926,] -7.688724e-02  6.768522e-01  0.6768522370  0.322653320
#>  [4927,]  4.763904e-01  4.763904e-01  0.6664434476  0.479866131
#>  [4928,]  1.474278e-01  3.349921e-01  0.3349920635  0.943150069
#>  [4929,] -5.059744e-02  8.592433e-01  0.3837818156  0.859243321
#>  [4930,]  1.285545e-01  7.635200e-01  0.7635199934  0.763519993
#>  [4931,]  1.677110e-01  7.762988e-01  0.6022392530  0.776298815
#>  [4932,]  3.243902e-01  6.101297e-01  0.5517564409  0.610129669
#>  [4933,]  2.662543e-01  5.676477e-01  0.5676477495  0.567647749
#>  [4934,]  3.874672e-01  5.512393e-01  0.3874672000  0.551239345
#>  [4935,]  2.516635e-01  2.312663e-01  0.1996945197  0.587243036
#>  [4936,]  5.739139e-02  5.739139e-02  0.0573913937  0.879493227
#>  [4937,]  5.553992e-01  5.886267e-01  0.4061374621  0.588626731
#>  [4938,]  2.926822e-01  8.601321e-01  0.0130291596  0.860132123
#>  [4939,]  1.540006e-01  3.748269e-01  0.1540006354  0.374826866
#>  [4940,] -2.579398e-01  6.980056e-01  0.6980056056  0.698005606
#>  [4941,]  6.946094e-02  6.295493e-01  0.6295492673  0.629549267
#>  [4942,]  3.871498e-01  6.156259e-01  0.6156258984  0.615625898
#>  [4943,]  7.203661e-01  7.203661e-01  0.7203660756  0.720366076
#>  [4944,]  8.920564e-01  6.609873e-01  0.4097843952  0.628158089
#>  [4945,] -3.700734e-03  4.621604e-01  0.2109691151  0.779150221
#>  [4946,]  1.788373e-01  3.343298e-01  0.3274662556  0.828720734
#>  [4947,]  1.020533e-01  6.554557e-01  0.5447970940  0.544797094
#>  [4948,]  2.018830e-01  2.867389e-01  0.5578146389  0.557814639
#>  [4949,]  3.223427e-01  6.204443e-01  0.6204442898  0.620444290
#>  [4950,]  2.978410e-01  6.296279e-01  0.6296278895  0.629627890
#>  [4951,]  3.040902e-01  3.040902e-01  0.6560796497  0.754976097
#>  [4952,]  5.750479e-01  6.252241e-01  0.5750478889  0.625224060
#>  [4953,]  4.001818e-01  4.001818e-01  0.8162749408  0.816274941
#>  [4954,] -5.517528e-01  6.151926e-01  1.1508198258  1.150819826
#>  [4955,]  5.116337e-01  5.116337e-01  0.5116337490  0.511633749
#>  [4956,] -2.384564e-01  6.563821e-01  0.6563821379  1.253113646
#>  [4957,] -2.166964e-01  6.141781e-01  0.4095129067  0.503189595
#>  [4958,]  2.724377e-01  5.064808e-01  0.4894557700  0.506480841
#>  [4959,] -1.630342e-01  7.980468e-01  0.4769547920  0.890765946
#>  [4960,]  1.851646e-01  7.283961e-01  0.7283961478  0.981122161
#>  [4961,]  1.464372e-01  1.464372e-01  0.6408934391  0.799851291
#>  [4962,] -1.646120e-01  6.202370e-01  0.5156810863  0.643434246
#>  [4963,]  1.412434e-01  5.334497e-01  0.6411553660  0.641155366
#>  [4964,]  2.133807e-01  6.481309e-01  0.8501116442  0.850111644
#>  [4965,]  3.089028e-02  1.020004e+00  1.0200044193  0.747645512
#>  [4966,] -1.354745e-01  1.096421e+00  0.4969785095  0.496978509
#>  [4967,]  4.966401e-01  4.966401e-01  0.4966401175  0.496640118
#>  [4968,]  6.803775e-01  6.803775e-01  0.6803774943  0.680377494
#>  [4969,] -3.574132e-01  7.780892e-01  0.5970164213  0.778089180
#>  [4970,]  1.125620e-01  6.587364e-01  0.6587364157  0.658736416
#>  [4971,]  2.865128e-01  4.705451e-01  0.4705451067  0.333598296
#>  [4972,]  2.378379e-01  8.903897e-01  0.5604376894  0.890389656
#>  [4973,]  1.728617e-01  4.622609e-01  0.1728617203  0.172861720
#>  [4974,]  1.527985e-01  8.261307e-01  0.7903192868  0.790319287
#>  [4975,]  5.248429e-01  5.248429e-01  0.5248429257  0.524842926
#>  [4976,]  1.615190e-01  6.275065e-01  0.1615189774  0.804228390
#>  [4977,]  3.848116e-01  3.445696e-01  0.3445696264  1.097727596
#>  [4978,]  5.515080e-01  1.048643e+00  0.5515080177  0.551508018
#>  [4979,]  5.480611e-01  5.480611e-01  0.5480610967  0.548061097
#>  [4980,]  4.737702e-01  4.737702e-01  0.2479893431  0.473770205
#>  [4981,]  2.625645e-01  3.025323e-01  0.3025323201  0.302532320
#>  [4982,]  6.914239e-01  6.914239e-01  0.7440324096  0.744032410
#>  [4983,] -6.424387e-02  2.779087e-01  0.3491279829  0.826770821
#>  [4984,]  2.605382e-01  7.904009e-01  0.7501997881  0.260538198
#>  [4985,]  9.572097e-02  3.710481e-01  0.3710480875  0.490736087
#>  [4986,] -2.181754e-02 -2.181754e-02  0.4956481705  0.495648171
#>  [4987,] -1.246510e-01  6.167678e-01  0.7279729389  0.727972939
#>  [4988,]  7.059398e-01  7.059398e-01  0.7059397864  0.887572739
#>  [4989,]  1.066274e-01  7.895164e-01  0.4191071123  0.963052680
#>  [4990,]  2.353693e-01  5.096441e-01  0.4915852369  0.933793882
#>  [4991,]  2.168651e-01  2.781920e-01  0.2168650754  0.657131040
#>  [4992,]  1.190258e-01  5.290548e-01  0.5290547677  0.529054768
#>  [4993,]  4.222596e-01  4.222596e-01  0.4222596453  1.043293474
#>  [4994,]  4.911978e-01  4.911978e-01  0.4911978224  0.491197822
#>  [4995,]  4.215643e-01  8.005969e-01  0.8354393604  0.744665620
#>  [4996,]  3.384876e-01  6.562188e-01  0.6956510071  0.695651007
#>  [4997,]  4.949604e-02  4.944019e-01  0.7309563292  0.730956329
#>  [4998,]  2.818081e-01  6.994120e-01  0.6675988797  0.423935475
#>  [4999,] -1.821384e-02  3.611031e-01  0.3611030911  0.387657506
#>  [5000,]  1.936423e-01  1.936423e-01  0.2655822222  0.483091420
#>  [5001,]  5.093494e-01  8.746574e-02  0.5093494393  0.386837330
#>  [5002,]  1.000720e-01  4.109568e-01  0.6021560636  0.602156064
#>  [5003,]  2.170689e-01  5.366430e-01  0.3479881308  0.536642981
#>  [5004,]  1.543001e-01  7.828051e-01  0.4415403058  0.617756665
#>  [5005,]  9.929859e-02  4.028274e-01  0.6102761050  0.706618861
#>  [5006,]  2.686399e-01  4.837603e-01  0.3482632953  0.483760319
#>  [5007,]  4.535431e-01  4.535431e-01  0.4535431032  0.840669290
#>  [5008,]  3.172728e-01  7.956892e-01  0.6195762062  0.795689231
#>  [5009,]  1.188093e-02  4.769262e-01  0.7198705337  0.825467482
#>  [5010,]  1.564097e-01  1.564097e-01  0.8653177317  0.865317732
#>  [5011,]  3.887059e-01  3.887059e-01  0.6331191398  0.727383916
#>  [5012,]  4.482656e-01  4.482656e-01  0.5468325468  0.448265649
#>  [5013,]  5.111167e-01  2.360911e-01  0.5111167258  0.511116726
#>  [5014,] -1.440282e-02 -3.079922e-01  0.2237006015  0.882255784
#>  [5015,]  1.081840e-02  7.962793e-01  0.0095317995  0.796279271
#>  [5016,] -1.913516e-02  6.095882e-01  0.6095882139  0.609588214
#>  [5017,]  3.507205e-01  8.142803e-01  0.3507204921  0.786302559
#>  [5018,]  3.564004e-01  3.564004e-01  0.3564003532  0.843095945
#>  [5019,]  5.256266e-01  5.256266e-01  0.5256266074  0.525626607
#>  [5020,]  5.547861e-01  5.547861e-01  0.5547861423  0.554786142
#>  [5021,]  4.508542e-01  1.852015e-03  0.4508541665  0.450854166
#>  [5022,]  1.979088e-01  1.979088e-01  0.1979087653  0.197908765
#>  [5023,]  5.137199e-01  5.137199e-01  0.5137199425  0.572002516
#>  [5024,]  4.364724e-01  4.364724e-01  0.4364723505  0.436472350
#>  [5025,] -7.413631e-03  6.435412e-01  0.6435412057  0.643541206
#>  [5026,]  4.454430e-02  4.825177e-01  0.3947373030  0.482517742
#>  [5027,]  1.100278e-01  2.771389e-01  0.2850901697  0.712685197
#>  [5028,]  2.527907e-01  5.820895e-01  0.7981776459  0.798177646
#>  [5029,]  1.574022e-01  5.003967e-01  0.6977899519  0.697789952
#>  [5030,]  3.786038e-01  1.907249e-01  0.3786038057  0.522391478
#>  [5031,]  9.964337e-02  5.632594e-01  0.5795697293  0.563259353
#>  [5032,] -1.526679e-01  6.767374e-01  1.0198602381  0.676737358
#>  [5033,]  2.449462e-01  2.449462e-01  0.8053096099  0.657644205
#>  [5034,] -5.842097e-02  2.942505e-01  0.2942505361  0.927811971
#>  [5035,]  4.989790e-01  2.853780e-01  0.4989790259  0.885576813
#>  [5036,]  5.305646e-01  3.994951e-01  0.5305645655  0.540544740
#>  [5037,]  1.899582e-01  5.390598e-01  0.1899581743  0.276710000
#>  [5038,]  4.952008e-01  4.952008e-01  0.7734218792  0.495200768
#>  [5039,]  7.876213e-01  7.876213e-01  0.7876212692  0.787621269
#>  [5040,]  3.534835e-01  3.534835e-01  0.3534834911  0.353483491
#>  [5041,]  1.377715e-01  1.377715e-01  0.1377715367  0.559950161
#>  [5042,]  2.240619e-01  2.240619e-01  0.4687688985  0.830376838
#>  [5043,] -3.434969e-01  3.284055e-01  0.7620822638  0.785531297
#>  [5044,] -2.276156e-01  5.074776e-01  0.7516757673  0.758406337
#>  [5045,]  5.027321e-01  4.208927e-01  0.4749409445  0.736524681
#>  [5046,] -7.331833e-02  1.852925e-01  0.5645830732  0.420364005
#>  [5047,] -8.184472e-03 -5.093789e-02  0.2322963854  0.487645189
#>  [5048,]  6.678198e-03  6.678198e-03  0.4405207123  0.633430482
#>  [5049,] -1.184817e-01  5.552562e-01  0.1342191008  0.570323451
#>  [5050,]  9.834948e-02  7.228571e-01  0.6513643892  0.455909719
#>  [5051,]  4.797280e-01  7.094920e-01  0.7094919870  0.729461066
#>  [5052,]  2.564350e-01  2.987784e-01  0.6213221154  0.628455033
#>  [5053,]  2.979898e-01  1.094416e+00  0.2979897886  0.775917464
#>  [5054,]  2.615441e-01  2.615441e-01  0.2615440665  1.039037589
#>  [5055,]  5.149079e-01  4.426581e-01  0.4426580902  0.662195028
#>  [5056,]  4.305265e-01  4.858193e-01  0.4305264528  0.803673386
#>  [5057,]  5.751296e-01  6.474983e-01  0.5751295840  0.906175147
#>  [5058,]  1.522001e-01  6.165278e-01  0.1522001346  0.616527817
#>  [5059,]  3.263852e-01  1.035333e-01  0.9695523404  0.969552340
#>  [5060,]  5.444548e-01  5.444548e-01  0.5964704436  0.544454817
#>  [5061,]  5.275610e-01  5.275610e-01  0.5275610344  0.527561034
#>  [5062,] -6.776259e-02  4.179374e-01  0.4179374103  0.417937410
#>  [5063,]  3.089385e-01  3.089385e-01  0.3089385007  1.052431075
#>  [5064,]  3.543641e-01  3.543641e-01  0.4381466261  0.910831957
#>  [5065,]  4.743154e-01  4.837815e-01  0.4837814545  0.764707096
#>  [5066,]  3.759708e-01  2.490374e-02  0.5050162321  0.668589859
#>  [5067,]  2.700614e-01  2.700614e-01  0.5854417761  1.153128713
#>  [5068,]  2.267914e-01  2.014558e-01  0.9836376243  0.983637624
#>  [5069,]  5.211166e-01  7.905682e-01  0.7905682083  0.790568208
#>  [5070,]  5.180708e-01 -4.696997e-03  0.7989171237  0.797389509
#>  [5071,]  1.118859e-01  7.431562e-01  1.2314256296  0.614920650
#>  [5072,]  7.829302e-03  5.409808e-01  0.9129011333  0.540980787
#>  [5073,]  2.280330e-01  2.280330e-01  0.6660527079  0.228032985
#>  [5074,]  2.941972e-01  2.941972e-01  0.2941971813  0.396023913
#>  [5075,]  3.438587e-01  6.688727e-01  0.6688727321  0.668872732
#>  [5076,]  2.603770e-01  4.064373e-01  1.1821176603  1.182117660
#>  [5077,]  3.223689e-01  4.177047e-01  0.4177047428  0.417704743
#>  [5078,]  1.277901e-01  3.629456e-01  0.4159224673  1.153370304
#>  [5079,]  1.693809e-01  5.322436e-01  0.5322435714  1.148510484
#>  [5080,]  6.506237e-01  6.506237e-01  0.6506236750  0.650623675
#>  [5081,]  3.301605e-01  5.019404e-01  0.3004585854  0.330160488
#>  [5082,]  4.780553e-01  3.124806e-01  0.8163055366  0.478055256
#>  [5083,]  1.195361e-01  4.564158e-01  0.7562499699  0.756249970
#>  [5084,]  2.586961e-02  5.518885e-01  0.6237327526  0.551888455
#>  [5085,]  5.312166e-02  4.840024e-01  0.4840023694  0.974330542
#>  [5086,]  4.516265e-01  1.132141e-02  0.3925024670  1.182093521
#>  [5087,] -3.471346e-01  3.971444e-01  0.5520936286  0.298325508
#>  [5088,]  1.955515e-01  4.685318e-01  0.1675498296  0.468531774
#>  [5089,]  2.230340e-01  1.796926e-01  0.6801281696  0.779253985
#>  [5090,]  1.316524e-01  7.165531e-01  0.5298003040  0.716553105
#>  [5091,]  2.071086e-01  2.071086e-01  0.7839294081  0.207108623
#>  [5092,]  2.109779e-01  6.747101e-01  0.2109779229  0.674710127
#>  [5093,]  2.209779e-01  7.829385e-01  0.2209778855  0.782938541
#>  [5094,]  2.565072e-01  2.962358e-01  0.5187168124  0.817858766
#>  [5095,]  2.132936e-01  5.872354e-01  0.3178446963  0.790606444
#>  [5096,]  3.632343e-01  4.574172e-01  0.5536454559  0.363234350
#>  [5097,]  3.516552e-01  5.922623e-01  0.3516552155  0.592262314
#>  [5098,]  4.891928e-01  4.937217e-01  0.4891928448  0.489192845
#>  [5099,]  7.426446e-02  6.477762e-01  0.6477761653  0.647776165
#>  [5100,]  6.864694e-01  6.864694e-01  0.6864693954  0.686469395
#>  [5101,]  5.333438e-01  6.823291e-01  0.5333438095  0.533343810
#>  [5102,]  4.799899e-01  4.799899e-01  0.4799898658  0.479989866
#>  [5103,]  4.664524e-01  4.664524e-01  0.4664524334  0.466452433
#>  [5104,]  4.824350e-01  7.114848e-01  0.7114847776  0.711484778
#>  [5105,]  6.188176e-01  8.180438e-01  0.6188176101  0.818043804
#>  [5106,] -1.350150e-01  3.350081e-01  0.5664462407  0.819736648
#>  [5107,] -4.515054e-01  6.678271e-01  0.3996400480  0.909590507
#>  [5108,] -8.241706e-02  3.330097e-01  0.2068877883  0.750601783
#>  [5109,]  3.339252e-01  4.674096e-01  0.4674095833  0.645644589
#>  [5110,]  2.989718e-01  6.749064e-01  0.3783428269  0.336134153
#>  [5111,]  3.716431e-01  3.262653e-01  0.8013232098  0.326265256
#>  [5112,]  1.862114e-01  8.343368e-01  0.2461591863  0.834336836
#>  [5113,]  3.976364e-01  3.976364e-01  0.8588590937  1.386468173
#>  [5114,]  1.516305e-01  8.334740e-01 -0.6858731264  0.840210497
#>  [5115,]  4.819781e-01  6.712595e-01  0.6712595394  0.651766882
#>  [5116,]  2.311971e-01  4.118192e-01  0.2311970912  0.988395786
#>  [5117,]  5.433300e-01  5.119538e-01  0.5119538180  1.087639504
#>  [5118,]  5.268456e-01 -4.703936e-02  0.5495565792  1.146342347
#>  [5119,]  1.389895e-01  3.512029e-01  0.8159159597  0.779814172
#>  [5120,]  7.882965e-02  4.527991e-01  0.6500919397  0.854788511
#>  [5121,]  2.748439e-01  6.083076e-01  0.2748438837  0.608307597
#>  [5122,]  3.108458e-02  9.084260e-01  0.2825945646  0.613979129
#>  [5123,]  4.642554e-01  3.489059e-01  0.3489058815  0.464255368
#>  [5124,] -4.018582e-01  4.478194e-01  0.0120421993  0.447819381
#>  [5125,] -4.586972e-01  7.757112e-01  0.7757112041  0.628251531
#>  [5126,]  2.566517e-01  5.326003e-01  0.2984086985  0.256651666
#>  [5127,]  1.096080e-01  6.095648e-01  0.6927987330  0.609564781
#>  [5128,] -1.058315e-01  5.288697e-01  0.6087028054  0.661184081
#>  [5129,]  6.502639e-01  6.502639e-01  0.6502638942  0.818233637
#>  [5130,]  3.580933e-01  8.588735e-01  0.5210769610  1.037062790
#>  [5131,] -1.009721e-02  4.126206e-01  0.5472480368  0.601222277
#>  [5132,]  3.244508e-01  9.214391e-01  0.3244507715  0.857205876
#>  [5133,]  2.436019e-02  4.110988e-01  0.1664282676  0.942178790
#>  [5134,]  1.972990e-01  3.713218e-01  0.4629454614  0.663815914
#>  [5135,] -9.605240e-02  4.686263e-01  0.4148287350  0.567551699
#>  [5136,] -5.013091e-01  8.978833e-02  0.2840899936  0.735070964
#>  [5137,] -1.993756e-01  2.694438e-01  0.3666410046  0.930825140
#>  [5138,] -1.691073e-01  4.424101e-01  0.8610674643  0.861067464
#>  [5139,]  2.310862e-01  7.699372e-01 -0.0717306292  0.231086228
#>  [5140,]  7.105175e-01  4.201116e-01  0.7105175141  0.678151099
#>  [5141,]  1.644291e-01  5.621031e-01  0.5621031341  0.562103134
#>  [5142,]  5.799579e-01  5.799579e-01  0.5799579437  0.579957944
#>  [5143,]  1.198719e-02  7.680036e-01  0.7680035937  0.768003594
#>  [5144,]  3.372912e-01  3.372912e-01  0.3372912218  0.337291222
#>  [5145,] -1.386629e-02  4.017704e-01  0.4017703867  0.401770387
#>  [5146,]  1.507129e-01  7.058754e-01  0.7058753534  0.705875353
#>  [5147,] -5.397274e-02  4.748228e-01  0.1113300374  1.272437784
#>  [5148,]  2.157315e-03  6.307489e-01  0.4665051225  1.362307142
#>  [5149,]  2.137561e-01  2.137561e-01  0.7194022153  0.728202737
#>  [5150,]  2.938313e-01  4.027911e-01  0.1701739092  0.293831281
#>  [5151,]  1.174632e-01  1.174632e-01  0.1209356911  0.706787294
#>  [5152,]  8.314602e-02  6.270627e-01  0.7484311139  0.627062694
#>  [5153,]  1.953082e-01  5.208407e-01  0.6068421540  0.959690242
#>  [5154,] -6.963259e-02  3.767032e-01  0.7167875526  0.716787553
#>  [5155,]  1.803035e-01  4.782318e-01  0.4782318287  0.814863848
#>  [5156,]  3.877729e-01  3.877729e-01  0.3877729456  1.131100132
#>  [5157,]  4.162668e-01  4.162668e-01  0.4162667976  0.749375036
#>  [5158,]  4.370577e-01  4.370577e-01  0.5755801747  0.437057703
#>  [5159,]  4.306662e-01  4.306662e-01  0.4306661923  0.430666192
#>  [5160,]  6.697943e-01  6.697943e-01  0.6697943445  0.669794345
#>  [5161,]  5.686825e-01  5.686825e-01  0.5686825367  0.568682537
#>  [5162,] -3.616457e-02  3.341806e-01  0.5687137624  0.765650399
#>  [5163,]  6.055019e-03  2.503368e-01  0.4648600116  0.759930034
#>  [5164,]  2.647081e-01  6.900507e-01  0.5356646141  0.535664614
#>  [5165,] -1.235435e-01  5.847392e-01  0.5847392092  0.584739209
#>  [5166,]  6.504123e-01  6.504123e-01  0.2720114677  0.650412265
#>  [5167,]  2.327011e-01  4.971242e-01  0.4750574508  0.475057451
#>  [5168,]  2.840965e-01  6.020059e-01  0.2840965278  0.284096528
#>  [5169,]  5.054958e-01  9.259401e-01  0.5054957920  0.505495792
#>  [5170,]  5.789547e-01  4.543033e-01  0.5789547367  0.823431733
#>  [5171,]  1.366728e-01 -1.163448e-01  0.2829898308  0.874625866
#>  [5172,]  8.500947e-02  9.412228e-01  1.0765704423  0.706409063
#>  [5173,]  1.949827e-01  1.129176e+00  0.7218505079  1.072670271
#>  [5174,]  2.036082e-01  2.036082e-01  0.6636645797  0.663664580
#>  [5175,]  1.602661e-01  6.498750e-01  0.7367819045  0.734335689
#>  [5176,] -1.241883e-01  5.724879e-01  0.6195318787  0.572487932
#>  [5177,]  2.752089e-01  1.030747e-01  0.7963186872  0.626433463
#>  [5178,]  2.233370e-01  2.233370e-01  1.0952348144  0.876886006
#>  [5179,]  2.480988e-01  2.480988e-01  0.2480988261  0.506675162
#>  [5180,]  2.293638e-01  2.293638e-01  0.2293638405  0.323323955
#>  [5181,]  4.144149e-01  4.144149e-01  0.4144149499  0.414414950
#>  [5182,]  1.619039e-02  1.619039e-02  0.0161903892  1.240266975
#>  [5183,]  2.133521e-01  2.133521e-01  0.2133520941  0.213352094
#>  [5184,] -2.447099e-01  4.896248e-01  0.4896247828  0.489624783
#>  [5185,]  5.970962e-02  4.570736e-01  0.6557833244  0.655783324
#>  [5186,]  3.636911e-01  5.352751e-01  0.5352750835  0.535275084
#>  [5187,]  2.941104e-01  2.941104e-01  0.2941104134  0.611298012
#>  [5188,]  5.893736e-02  5.893736e-02  0.0589373641  0.774274011
#>  [5189,]  4.469568e-01  5.960245e-01  0.6047157586  0.604715759
#>  [5190,]  1.098161e-01  6.125074e-01  0.6125073849  0.789656318
#>  [5191,]  2.892986e-01  4.501326e-01  0.9912966662  0.634637751
#>  [5192,]  2.095936e-01  6.147309e-01  0.2095935953  0.264996700
#>  [5193,]  1.453087e-01  6.083761e-01  0.1453086551  0.145308655
#>  [5194,]  4.111627e-01  4.111627e-01  0.4111626785  0.411162679
#>  [5195,]  5.007569e-01  5.007569e-01  0.5007568963  0.500756896
#>  [5196,]  4.817194e-01  4.451254e-01  0.4817194372  0.481719437
#>  [5197,]  5.313998e-01  5.313998e-01  0.5313997667  0.531399767
#>  [5198,]  5.723098e-01  5.723098e-01  0.5723098478  0.572309848
#>  [5199,]  3.427673e-01  3.427673e-01  0.3427673210  0.342767321
#>  [5200,]  5.612766e-01  5.612766e-01  0.5612766088  0.561276609
#>  [5201,]  6.636023e-01  6.636023e-01  0.6636023310  0.663602331
#>  [5202,]  4.166298e-01  4.166298e-01  0.4349770899  0.416629844
#>  [5203,]  5.392427e-01  5.392427e-01  0.3213057694  0.539242728
#>  [5204,]  1.314259e-01  4.454973e-01  0.2947656256  0.131425890
#>  [5205,]  1.418079e-01  4.508877e-01  0.4508877190  0.647281767
#>  [5206,]  3.007879e-01  5.467750e-01  0.6221323239  0.622132324
#>  [5207,]  5.065117e-01  7.279298e-01  0.7279297853  0.506511741
#>  [5208,]  4.377086e-01  4.115462e-01  0.4377085962  0.437708596
#>  [5209,]  1.225499e-01  6.396118e-01  0.1225499276  0.298455353
#>  [5210,] -2.562262e-01  1.413646e-01  0.4967175624  0.496717562
#>  [5211,]  4.825274e-01  4.825274e-01  0.4792169358  0.280797530
#>  [5212,]  2.258975e-01  6.537956e-01  0.6567407177  0.653795588
#>  [5213,]  4.953086e-01  7.237725e-01  0.4953086293  0.495308629
#>  [5214,]  6.798167e-01  6.798167e-01  0.6798167155  0.679816715
#>  [5215,]  4.420405e-01  4.420405e-01  0.4420404910  0.875312785
#>  [5216,]  1.959988e-01  1.246039e-01  0.3505318282  0.350531828
#>  [5217,]  3.426667e-01  3.426667e-01  0.7894402322  0.751869252
#>  [5218,]  7.318022e-01  2.626836e-01  0.7318022315  0.731802231
#>  [5219,]  4.294049e-01  2.170590e-01  0.2170590218  0.735781899
#>  [5220,] -2.014712e-01  3.348401e-01  0.6739603656  0.673960366
#>  [5221,]  1.585865e-01  8.281269e-01  0.1585864670  0.828126931
#>  [5222,]  1.399687e-01  3.923038e-01  0.3923038407  0.392303841
#>  [5223,]  1.181691e-01  1.181691e-01  0.4691768034  0.651013465
#>  [5224,]  2.703241e-01  3.704940e-01  0.2703240548  0.559903726
#>  [5225,]  4.229941e-01  4.229941e-01  0.6329169889  0.632916989
#>  [5226,]  3.062669e-01  3.062669e-01 -0.0002098282  0.306266864
#>  [5227,]  2.919326e-01  7.041500e-01  0.7041499746  0.291932595
#>  [5228,]  4.222969e-01  4.222969e-01  0.4222969430  0.422296943
#>  [5229,]  4.004996e-01  4.004996e-01  0.4004995837  0.400499584
#>  [5230,]  4.429299e-01  4.429299e-01  0.4429299069  0.442929907
#>  [5231,]  5.611705e-01  5.611705e-01  0.5611705340  0.884825184
#>  [5232,]  3.516945e-01  3.516945e-01  0.3516944704  0.636872118
#>  [5233,]  2.118270e-01  6.150856e-01  0.6150856188  0.615085619
#>  [5234,]  2.616809e-01  5.909502e-01  0.4444446502  1.246155623
#>  [5235,] -2.567099e-02  4.966896e-01  0.8182988234  0.915104661
#>  [5236,]  4.095704e-01  3.274027e-01  0.4095704408  0.700604802
#>  [5237,]  1.159195e-01  7.742917e-01  0.7742916691  0.441339338
#>  [5238,] -1.494230e-01  6.780194e-01  0.5390568991  0.678019386
#>  [5239,]  4.260469e-02  9.430738e-01  0.3726413000  0.735532590
#>  [5240,]  3.808276e-01  3.808276e-01  0.3808275525  0.910803305
#>  [5241,] -4.552201e-02  4.861626e-01  0.4557689676  1.307280707
#>  [5242,] -1.317642e-01  5.722923e-01  0.6371764589  0.637176459
#>  [5243,]  1.842459e-01  6.918566e-01  0.6918566186  0.718015695
#>  [5244,]  3.044464e-01  3.044464e-01  0.3044464359  1.032252436
#>  [5245,]  7.964985e-02  7.964985e-02  0.2891203865  1.369989520
#>  [5246,] -3.670578e-01  2.546947e-01  0.2546947112  0.909251465
#>  [5247,]  2.766237e-01  2.055643e-01  0.2766237192  0.944194436
#>  [5248,]  4.274388e-02 -4.035787e-03  0.1513771491  0.933930345
#>  [5249,] -1.247421e-01  2.832032e-01  1.1224032394  0.996111199
#>  [5250,] -1.243457e-01  6.286151e-01  0.6125853889  0.628615057
#>  [5251,] -9.547720e-03  6.912278e-01  0.6912277826  0.887136545
#>  [5252,]  2.640834e-01  3.831676e-01  0.7350015982  0.824709546
#>  [5253,]  5.964461e-02  4.701832e-01  0.2561801485  0.527174482
#>  [5254,] -3.123855e-02  5.571706e-01  0.5571706141  0.869237632
#>  [5255,]  1.682252e-01  1.682252e-01  1.0000399985  0.873504645
#>  [5256,]  7.233322e-01  9.492888e-01 -0.0930911195  0.949288829
#>  [5257,]  2.896810e-01  3.293388e-01  0.2896810145  0.380905755
#>  [5258,]  4.483495e-01  3.313962e-01  0.6411131549  0.410359708
#>  [5259,]  4.525598e-01  3.976268e-01  0.6210614607  0.962540183
#>  [5260,]  2.611567e-01  5.621054e-01  0.5523142724  0.552314272
#>  [5261,]  3.320013e-01  3.320013e-01  0.3320013370  0.332001337
#>  [5262,]  3.393010e-01  3.393010e-01  0.3393010378  0.339301038
#>  [5263,]  3.801915e-01  8.704473e-01  0.3801914851  0.870447289
#>  [5264,] -5.803875e-01  4.299216e-01  0.4299215702  0.429921570
#>  [5265,]  5.913764e-01  5.540113e-01  0.5540113258  0.591376434
#>  [5266,]  5.784357e-01  5.784357e-01  0.5784357323  0.862214979
#>  [5267,] -4.956087e-01  8.313360e-01  0.3527145111  0.831335965
#>  [5268,] -4.256530e-02  6.408128e-01 -0.0425652992  0.640812825
#>  [5269,] -1.720492e-02  2.216709e-01 -0.0172049241  0.512477586
#>  [5270,]  4.189189e-02  8.240667e-01  0.1922458881  0.783968129
#>  [5271,]  2.857662e-02  3.597750e-01  0.3584033046  0.720863730
#>  [5272,]  2.851273e-01  2.851273e-01  0.2851272744  0.534197177
#>  [5273,]  6.421301e-01  4.710476e-01  0.5405858651  0.993340450
#>  [5274,]  2.756406e-01  5.369031e-01  0.5369030840  0.544610881
#>  [5275,]  4.075820e-01  4.075820e-01  0.3470794791  0.407581971
#>  [5276,]  4.754502e-01  3.153443e-01  0.7873319193  0.787331919
#>  [5277,]  2.772486e-01  3.390385e-01  0.1460853436  0.852759530
#>  [5278,]  4.642037e-01  3.051654e-01  0.4642036610  0.799439326
#>  [5279,]  4.538869e-01  3.561065e-01  0.6324815281  0.453886894
#>  [5280,] -1.668691e-01  1.341073e-01  0.5105610166  0.943512925
#>  [5281,]  1.327121e-01  6.859292e-01  0.4580901285  0.914744321
#>  [5282,] -1.701783e-02  7.870781e-01  0.3785548290  0.378554829
#>  [5283,]  3.998081e-01  3.759938e-01  0.2122606392  0.688373585
#>  [5284,] -2.392348e-01  4.338588e-01  0.6934803560  0.433858759
#>  [5285,]  5.181279e-01  4.933339e-01  0.5181279108  0.518127911
#>  [5286,] -1.823073e-01  6.644886e-01  0.6485996759  0.664488583
#>  [5287,]  3.813071e-02  5.809924e-01  0.5809923691  0.580992369
#>  [5288,]  2.776072e-01  5.500985e-01  0.5500985144  0.550098514
#>  [5289,]  4.314312e-01  4.314312e-01  0.4314311678  0.431431168
#>  [5290,]  4.269370e-01  4.269370e-01  0.4269370439  0.426937044
#>  [5291,]  2.533455e-01  2.533455e-01  0.2533454860  0.253345486
#>  [5292,]  6.614741e-01  6.614741e-01  0.6614741402  0.661474140
#>  [5293,]  5.213652e-01  5.213652e-01  0.5213651750  0.521365175
#>  [5294,]  4.488608e-01  4.455190e-01  0.4488607593  0.448860759
#>  [5295,]  2.691319e-01  5.018433e-01  0.5018433285  1.108999294
#>  [5296,]  3.188556e-01  5.889106e-01  0.3188556321  0.896448077
#>  [5297,]  4.257631e-01  4.257631e-01  0.7145086301  0.425763051
#>  [5298,]  6.108953e-01  3.400346e-01  0.6700265192  0.610895255
#>  [5299,]  3.930681e-01  2.946220e-02  0.5332236177  0.393068122
#>  [5300,]  5.495282e-01  5.495282e-01  0.6913429934  0.691342993
#>  [5301,]  2.654464e-01  5.875556e-01  0.3342980758  0.587555606
#>  [5302,]  3.478102e-01  3.478102e-01  0.8387650213  0.838765021
#>  [5303,]  5.738987e-01  5.738987e-01  0.1631037538  0.555024428
#>  [5304,]  6.546297e-01  6.560400e-01  0.6276361056  0.654629651
#>  [5305,]  1.093323e-01  7.817210e-01  0.1093323406  0.755627191
#>  [5306,]  2.797984e-01  5.550285e-01  0.5550284789  0.479485518
#>  [5307,]  1.572474e-01  1.100788e+00  0.1572473753  0.570714470
#>  [5308,]  1.873511e-01  3.781699e-01  0.1873511189  0.533796286
#>  [5309,]  1.923728e-01  2.581138e-02  0.5809645415  0.320692490
#>  [5310,]  2.456813e-02  5.896865e-01  0.3991283629  0.589686519
#>  [5311,] -7.219693e-02  4.250058e-01  0.4250057782  0.509720489
#>  [5312,] -3.462850e-03  6.645367e-01  0.6645367255  0.664536725
#>  [5313,]  8.316272e-02  5.592567e-01  0.5592566704  0.559256670
#>  [5314,]  6.057748e-01  6.057748e-01  0.6057747711  0.605774771
#>  [5315,]  5.428249e-01  5.428249e-01  0.5428248933  0.542824893
#>  [5316,]  4.604302e-01  2.697844e-01  0.4604302252  0.460430225
#>  [5317,]  3.205082e-01  2.198308e-01  0.3205082305  0.320508231
#>  [5318,] -1.529813e-01  3.813795e-01  0.3930934769  0.381379545
#>  [5319,] -1.807554e-01  5.935776e-01  0.5935776271  0.593577627
#>  [5320,]  7.141223e-02  4.240280e-01  0.4240280087  0.424028009
#>  [5321,]  4.071015e-01  4.071015e-01  0.4071015279  0.407101528
#>  [5322,]  4.974986e-01  4.974986e-01  0.4974986332  0.497498633
#>  [5323,]  3.713411e-01  3.713411e-01  0.3713410837  0.854577646
#>  [5324,]  2.988771e-01  2.530829e-01  0.4382638413  0.298877114
#>  [5325,]  2.705853e-01  5.429217e-01  0.2705852516  0.542921698
#>  [5326,]  7.856945e-01  7.856945e-01  0.7856945208  0.693538276
#>  [5327,]  3.885900e-01  3.885900e-01  0.4614737113  0.388590000
#>  [5328,]  3.613545e-01  3.613545e-01  0.3613544589  0.361354459
#>  [5329,] -2.114686e-01 -2.114686e-01 -0.2114685517  0.614471317
#>  [5330,] -3.543576e-01  6.837987e-01  0.5901339459  0.256828989
#>  [5331,]  4.679130e-01  4.679130e-01  0.4679130361  0.467913036
#>  [5332,]  5.261492e-01  5.261492e-01  0.5261492234  0.526149223
#>  [5333,]  3.266373e-01  4.580526e-01  0.6942468709  0.458052593
#>  [5334,]  5.488447e-01  5.488447e-01  0.5712757472  0.548844706
#>  [5335,]  1.861809e-01  8.544363e-02  0.1861808582  0.713121303
#>  [5336,]  2.425983e-01  3.507819e-01  0.7847256905  0.784725690
#>  [5337,]  4.997775e-01  4.997775e-01  0.4791683086  0.499777468
#>  [5338,]  6.118562e-01  6.118562e-01  0.8935904995  0.611856201
#>  [5339,]  5.767356e-01  5.767356e-01  0.5758496300  0.576735616
#>  [5340,]  4.739681e-01  6.776151e-01  0.4739680724  0.677615140
#>  [5341,]  6.098817e-01  6.098817e-01  0.6098817366  0.609881737
#>  [5342,]  7.224311e-01  7.224311e-01  0.7224311297  0.722431130
#>  [5343,]  4.545396e-01  4.545396e-01  0.4545396496  0.454539650
#>  [5344,]  4.234037e-01  4.234037e-01  0.4234036950  0.423403695
#>  [5345,]  4.587686e-01  4.587686e-01  0.4587685942  0.458768594
#>  [5346,]  7.267490e-02  5.079024e-01  0.5079024450  0.507902445
#>  [5347,]  3.769225e-01  3.769225e-01  0.3769225331  0.376922533
#>  [5348,]  7.643459e-01  7.643459e-01  0.7643459144  0.764345914
#>  [5349,]  2.031012e-01  5.128145e-01  0.5128145035  0.512814503
#>  [5350,] -1.484979e-01  7.125128e-01  0.7125128472  0.712512847
#>  [5351,]  4.705429e-01  4.705429e-01  0.4705428676  0.470542868
#>  [5352,]  3.836116e-01  4.171269e-01  0.3836116328  0.743907144
#>  [5353,] -1.306545e-01  3.928791e-01  0.3889775218  0.392879140
#>  [5354,]  2.951052e-01  2.951052e-01  0.2951052194  0.295105219
#>  [5355,]  5.681193e-01  5.681193e-01  0.4348185713  0.568119316
#>  [5356,] -1.612924e-01  6.930178e-01  0.6930177748  0.564029987
#>  [5357,]  3.951103e-01  3.951103e-01  0.3350864591  0.395110342
#>  [5358,]  4.378724e-01  4.378724e-01  0.4378723995  0.437872400
#>  [5359,]  5.297537e-01  5.297537e-01  0.5297537184  0.529753718
#>  [5360,]  2.739538e-01  5.219660e-01  0.2739538342  0.521966046
#>  [5361,] -1.529018e-01  4.344987e-01  0.4344986861  0.434498686
#>  [5362,]  2.375600e-01  4.555183e-01  0.5816791524  0.455518342
#>  [5363,]  4.185174e-01  4.185174e-01  0.4185174229  0.418517423
#>  [5364,]  3.662614e-01  3.662614e-01  0.3662613683  0.366261368
#>  [5365,]  3.001436e-01  8.493040e-01  0.3001435648  0.849303993
#>  [5366,]  1.176795e-01  1.176795e-01  0.5353506192  0.726833399
#>  [5367,]  1.735967e-02  4.701616e-01  0.1717611023  0.754964891
#>  [5368,] -1.513231e-01  4.132515e-01  0.6526982833  0.652698283
#>  [5369,] -6.393532e-02  4.539947e-01  0.5809178881  0.453994676
#>  [5370,]  5.949438e-01  5.949438e-01  0.5949438412  0.594943841
#>  [5371,]  3.012384e-01  7.973831e-01  0.0288530687  0.797383143
#>  [5372,]  3.015878e-01  3.015878e-01  0.3015878248  0.301587825
#>  [5373,]  5.628989e-01  5.628989e-01  0.5628989316  0.562898932
#>  [5374,]  4.304184e-01  4.304184e-01  0.4304184463  0.430418446
#>  [5375,]  5.044368e-01  5.044368e-01  0.5044368209  0.504436821
#>  [5376,]  9.060348e-02  6.633508e-01  0.6633508317  0.663350832
#>  [5377,]  3.302586e-01  3.302586e-01  0.8500807068  0.850080707
#>  [5378,]  5.418798e-01  6.936374e-01  0.6936374463  0.905061759
#>  [5379,]  5.015172e-01  5.015172e-01  0.6603238375  0.501517173
#>  [5380,]  2.613880e-01  5.284173e-01  0.5987053516  0.409870655
#>  [5381,]  4.165146e-01  5.633179e-01  0.5397270694  0.746267419
#>  [5382,] -3.058217e-03  5.411165e-01  0.3515755128  0.623656452
#>  [5383,] -9.878202e-02  6.411890e-01  0.6411890494  0.641189049
#>  [5384,]  2.768588e-01 -3.132396e-01  0.6317651078  0.631765108
#>  [5385,]  1.705480e-01  1.705480e-01  0.7846878185  0.784687818
#>  [5386,]  2.552452e-01  2.552452e-01  0.2552452416  0.720688118
#>  [5387,]  4.372647e-01  9.068093e-01  0.5218298957  0.906809328
#>  [5388,]  1.140073e-01  4.756306e-01  0.4756305983  0.475630598
#>  [5389,]  4.206887e-02  5.758004e-01  0.5758004426  0.575800443
#>  [5390,]  3.635021e-01  3.635021e-01  0.3635020714  0.363502071
#>  [5391,]  3.070040e-01  4.893942e-01  0.4893942090  0.489394209
#>  [5392,]  3.614288e-01  7.543907e-01  0.7543906873  0.754390687
#>  [5393,]  3.182763e-01  6.598601e-01  0.3182762750  0.318276275
#>  [5394,]  3.285148e-01  3.285148e-01  0.3285147761  0.328514776
#>  [5395,]  3.393442e-01 -2.164208e-01  0.5430920333  0.339344167
#>  [5396,]  1.041499e-01  8.514487e-01  0.7183291867  0.718329187
#>  [5397,]  6.187479e-01  1.110373e+00  0.4087534083  1.110372950
#>  [5398,] -6.701189e-02  2.891728e-01  0.6665163048  1.107208876
#>  [5399,]  7.349523e-02  7.258876e-02  0.5899378492  0.874343669
#>  [5400,]  1.857259e-01  1.378649e-01  0.7116258846  0.711625885
#>  [5401,] -3.072235e-01  4.797719e-01  0.4613974299  1.006648592
#>  [5402,]  1.746181e-02  5.148449e-01  0.6601088700  0.999453219
#>  [5403,]  1.539469e-01  6.235446e-01  0.1539468697  0.849396548
#>  [5404,]  3.304918e-01  8.728830e-01  0.5916802065  0.448745788
#>  [5405,]  4.371941e-01  4.371941e-01  0.4837352659  0.437194076
#>  [5406,]  5.858277e-01  5.858277e-01  0.3779881086  0.377988109
#>  [5407,]  4.572491e-01  4.572491e-01  0.4572491105  0.457249110
#>  [5408,] -2.095857e-01  4.087662e-01  0.4087661841  0.408766184
#>  [5409,]  4.824567e-01  4.824567e-01  0.4824567082  0.482456708
#>  [5410,]  6.720183e-01  6.720183e-01  0.6720183389  0.672018339
#>  [5411,]  3.610760e-01  3.610760e-01  0.7235006506  0.723500651
#>  [5412,]  5.738774e-01  8.013531e-01  0.8013530529  0.573877420
#>  [5413,]  3.937614e-01  5.425398e-01  0.5425397940  0.542539794
#>  [5414,]  8.025559e-02  6.853809e-01  0.0841294221  0.685380883
#>  [5415,]  4.548309e-01  4.548309e-01  0.4548309096  1.003598482
#>  [5416,] -8.624878e-02  8.964017e-01  0.6761413404  0.896401667
#>  [5417,] -1.150048e-01 -1.150048e-01  0.7516453300  0.811449687
#>  [5418,]  2.565853e-01  7.480904e-01  0.7480903582  0.748090358
#>  [5419,]  4.856524e-02  1.999456e-01  0.8763626663  0.876362666
#>  [5420,] -1.063367e-01  2.476612e-01  0.3386101636  0.625712175
#>  [5421,] -1.708495e-01  3.380701e-01  0.7109252108  0.710925211
#>  [5422,] -4.800525e-02  7.757447e-01  0.4545148741  0.775744710
#>  [5423,]  4.624164e-01  4.624164e-01  0.4624164401  0.727613070
#>  [5424,]  4.076245e-01  4.076245e-01  0.4475957949  0.593060842
#>  [5425,]  9.143906e-02  6.169017e-01  0.6169016965  0.616901696
#>  [5426,]  2.626360e-01  6.733226e-01  0.6733225720  0.673322572
#>  [5427,]  3.504967e-01  5.248302e-01  0.4528473373  0.452847337
#>  [5428,]  3.682500e-01  4.412909e-01  0.3682500274  0.576316358
#>  [5429,]  4.496387e-01  9.250177e-01  0.9250177058  0.724759588
#>  [5430,] -1.645038e-01  6.188965e-01  0.7206092580  0.720609258
#>  [5431,]  2.015755e-01  2.387052e-01  0.3179379979  1.025903012
#>  [5432,]  9.474930e-02  1.913246e-01  0.2667558948  0.925691328
#>  [5433,]  4.387502e-01  4.055231e-01  0.8145894614  0.814589461
#>  [5434,]  9.035195e-02  9.661762e-01  0.6559328731  0.655932873
#>  [5435,]  1.039270e-01  1.131658e+00  0.1039270222  0.906194781
#>  [5436,] -2.195485e-01  8.433820e-02  0.4210977024  0.942597103
#>  [5437,]  4.550849e-01  8.072834e-01  0.5838392345  0.583839235
#>  [5438,] -4.121103e-01  7.547008e-01  0.7547008480  0.754700848
#>  [5439,] -2.698144e-01  2.343344e-01  0.3088367761  0.645570917
#>  [5440,]  7.269278e-01  3.123352e-01  0.7269277687  0.726927769
#>  [5441,]  2.558569e-01  5.381116e-01  0.7388071990  0.538111645
#>  [5442,]  8.876893e-02  6.869359e-01  0.6837398928  0.683739893
#>  [5443,]  2.643810e-01  5.347585e-01  0.5347584669  0.534758467
#>  [5444,]  2.427646e-01  4.654344e-01  0.4654344080  0.242764559
#>  [5445,]  5.354030e-02  1.357184e-01  0.6513245202  0.782647024
#>  [5446,] -4.998564e-01  6.389871e-01  0.9468358736  0.946835874
#>  [5447,]  5.412130e-01  5.412130e-01  0.5412130045  0.541213005
#>  [5448,]  1.252346e-01  5.296625e-01  0.4018858088  0.732029054
#>  [5449,]  2.363566e-01  6.790144e-01  0.3037941472  0.786429275
#>  [5450,]  2.644759e-01  5.265744e-01  0.3675408462  0.979730059
#>  [5451,]  4.703691e-01  5.476648e-01  0.4023729017  0.547664826
#>  [5452,]  6.108541e-01  6.108541e-01  0.6108541276  0.610854128
#>  [5453,] -5.862268e-02  5.575381e-01  0.5575380921  0.557538092
#>  [5454,]  4.308501e-01  4.308501e-01  0.4308500729  0.430850073
#>  [5455,]  4.598742e-01  1.423260e-01  0.4598742474  0.459874247
#>  [5456,] -1.028064e-02  5.497325e-01  0.5497325334  0.493766364
#>  [5457,]  3.452485e-01  3.452485e-01  0.4559367550  0.546168924
#>  [5458,]  3.623267e-01  3.623267e-01  0.5478619871  0.547861987
#>  [5459,]  8.403684e-02  7.481524e-01  0.7481524167  0.748152417
#>  [5460,]  2.050057e-01  3.221665e-01  0.7584482247  0.194751422
#>  [5461,]  2.347812e-01  4.153743e-01  0.0535533794  0.415374317
#>  [5462,]  8.607910e-02  1.778815e-01  0.1778814920  0.679772156
#>  [5463,]  1.688862e-01  4.310494e-01  0.7510083615  0.431049373
#>  [5464,]  1.134477e-02  8.365809e-01  0.8365808859  0.836580886
#>  [5465,]  4.930006e-01  4.930006e-01  0.4930005911  0.781841163
#>  [5466,]  3.398868e-01  3.398868e-01  0.6754176534  0.339886819
#>  [5467,]  6.144170e-01  6.201310e-01  0.6144170107  0.909213848
#>  [5468,] -4.533355e-02  6.713911e-01  0.6713910861  0.671391086
#>  [5469,]  4.894600e-01  4.894600e-01  0.4894600167  0.910081640
#>  [5470,]  4.764961e-01  8.555351e-01  0.4764960694  0.855535137
#>  [5471,]  2.451884e-01  8.880033e-01  0.7130631717  0.888003304
#>  [5472,]  4.037222e-01  5.404163e-01  0.5404163202  0.596897083
#>  [5473,]  3.926815e-01  7.905773e-01  0.5078979543  0.506380104
#>  [5474,]  2.080489e-01  5.613538e-01  0.7152024343  0.715202434
#>  [5475,]  5.916702e-02  6.089866e-01  0.4892932408  0.059167021
#>  [5476,]  3.598939e-01  1.050103e+00  0.5816814404  0.581681440
#>  [5477,]  4.423764e-01  8.612907e-01  0.4085494320  0.442376361
#>  [5478,]  1.985491e-01  6.516140e-01  0.8497385933  0.849738593
#>  [5479,]  1.317711e-01  5.788614e-01 -0.1739526994  0.619298540
#>  [5480,]  2.606755e-02  4.703066e-01  0.4396504758  0.547432697
#>  [5481,] -5.144302e-03  4.835472e-01  0.4835471586  0.211967406
#>  [5482,]  4.808143e-01  6.629611e-01  0.9927400717  0.039612214
#>  [5483,]  3.279991e-01  1.609041e-01  0.4454058774  0.445405877
#>  [5484,]  3.473517e-02  4.799150e-01  0.0347351746  0.828652203
#>  [5485,]  4.428951e-01  5.007718e-01  0.6672010698  0.683705984
#>  [5486,]  5.353881e-01  5.353881e-01  0.6321608139  0.686458344
#>  [5487,] -5.565375e-01  8.679351e-01  0.8679351425  0.867935142
#>  [5488,] -3.127940e-01  6.687229e-02  0.6252012511  0.625201251
#>  [5489,]  4.761533e-01  4.761533e-01  0.4761532671  0.476153267
#>  [5490,]  1.760964e-01  5.148397e-01  0.5148396652  0.514839665
#>  [5491,]  3.125357e-01  6.403291e-01  0.3125357414  0.640329053
#>  [5492,]  9.549086e-01  6.998643e-01  0.6998643468  0.954908601
#>  [5493,]  5.168444e-01  5.168444e-01  0.5168444174  0.516844417
#>  [5494,]  6.417531e-01  6.417531e-01 -0.2659846015  0.641753139
#>  [5495,]  6.282453e-01  6.282453e-01  0.6282453242  0.555384974
#>  [5496,]  1.829108e-01  5.864444e-01  0.3587744859  0.358774486
#>  [5497,]  2.059218e-01  6.734707e-01 -0.0548097904  0.673470686
#>  [5498,]  2.622008e-01  7.034381e-01  0.2622008118  0.564969446
#>  [5499,]  1.608362e-01  7.899398e-01  0.4123227184  0.871028347
#>  [5500,]  2.835758e-01  4.699886e-01  0.4699886306  0.469988631
#>  [5501,]  2.324688e-02  6.407278e-01  0.3077577198  0.885978167
#>  [5502,]  5.080371e-02  7.719627e-01  0.4433309620  0.771962651
#>  [5503,] -9.065703e-02  5.598070e-01  0.5744658783  0.559807006
#>  [5504,]  6.439514e-02  5.196969e-01  0.5196969265  0.519696926
#>  [5505,]  6.068069e-01  6.068069e-01  0.6068069241  0.430518008
#>  [5506,]  3.403299e-01  3.403299e-01  0.3403298921  0.486955489
#>  [5507,]  2.541353e-01  4.125064e-01  0.2541353303  0.254135330
#>  [5508,]  3.876811e-01  3.876811e-01  0.3876811137  0.387681114
#>  [5509,]  3.651362e-01  3.651362e-01  0.3651362413  0.468389964
#>  [5510,]  5.629569e-02  5.814452e-01  0.3410416565  0.709243171
#>  [5511,]  2.012509e-01  8.822230e-01  0.7824132681  0.882222952
#>  [5512,]  3.342558e-01  6.762612e-01  0.5312299890  0.741198878
#>  [5513,]  5.257083e-01  6.877975e-01  0.5257083260  0.525708326
#>  [5514,]  2.347947e-01  5.285217e-01  0.5285217323  0.373622222
#>  [5515,]  1.734901e-01  3.015864e-01  0.1734900580  0.149131917
#>  [5516,] -2.005572e-01  3.835410e-01  0.3835409585  0.588008699
#>  [5517,] -3.061740e-01  4.076425e-01  0.4076425295  0.807171634
#>  [5518,]  6.795866e-02  5.179390e-01  0.5179390465  0.847827340
#>  [5519,]  5.095723e-01  9.023041e-02  0.6801997752  1.079429866
#>  [5520,]  6.721771e-02  3.152639e-01  0.3152639447  0.897464656
#>  [5521,]  9.446326e-01  9.446326e-01  0.9446325656  0.944632566
#>  [5522,] -4.850488e-01  6.469943e-01  0.6469943020  0.646994302
#>  [5523,]  5.122947e-01  5.122947e-01  0.5122946763  0.512294676
#>  [5524,]  5.966261e-01  5.966261e-01  0.5966260687  0.596626069
#>  [5525,]  4.252265e-01  4.252265e-01  0.4252265190  0.425226519
#>  [5526,]  6.583904e-01  6.583904e-01  0.6583904474  0.838234820
#>  [5527,]  2.131624e-01  2.131624e-01  0.2131623562  0.495209063
#>  [5528,]  4.987162e-01  6.603309e-01  0.4987161532  0.902397301
#>  [5529,]  7.139087e-02  6.258646e-01  0.6258646287  0.625864629
#>  [5530,]  1.755293e-01  5.027083e-01  0.5027082729  0.502708273
#>  [5531,]  1.519104e-03  7.316943e-01  0.3369086095  0.731694288
#>  [5532,]  1.751092e-01  6.040143e-01  0.6040143058  0.573059035
#>  [5533,]  1.453178e-01  7.234562e-01  0.4778636869  0.699436019
#>  [5534,]  4.641445e-01  4.788810e-01  0.4788809769  1.181335119
#>  [5535,]  3.180362e-01  3.951988e-01  0.3604450943  0.499934967
#>  [5536,]  9.237460e-02  6.449175e-01  0.7075078958  0.652732134
#>  [5537,]  2.535964e-01  7.647542e-01  0.2816566476  0.673028335
#>  [5538,]  4.400517e-01  4.918529e-01  0.3557170537  0.724766496
#>  [5539,]  2.533739e-01  6.836455e-01  0.5847034684  0.971350626
#>  [5540,] -2.852290e-03  6.199846e-01  0.8001514857  0.800151486
#>  [5541,]  4.686105e-03  3.475756e-01  0.3475755712  0.816073932
#>  [5542,] -1.845155e-01  8.246113e-01  0.4134663269  0.930176720
#>  [5543,] -1.387208e-01  7.332727e-01  0.8687466323  0.574993208
#>  [5544,]  8.732771e-02  6.635298e-01  0.5048437527  0.497797666
#>  [5545,] -2.882164e-01  2.497051e-01  0.6170568162  0.632106945
#>  [5546,] -2.161456e-01  6.454600e-01  0.3403255627  0.952668321
#>  [5547,]  2.477783e-01  4.565293e-01  0.7208394075  0.914143518
#>  [5548,]  2.173930e-01  3.604628e-01  0.8200436222  0.820043622
#>  [5549,] -2.571995e-02  7.004392e-01  0.7004392131  0.841811163
#>  [5550,] -1.107108e-01  5.043124e-01  0.1360011419  0.801463898
#>  [5551,] -1.294012e-01  5.970579e-01  0.5970579373  0.667140087
#>  [5552,]  2.558128e-01  5.488663e-01  0.5488662910  0.548866291
#>  [5553,]  6.593698e-01  6.593698e-01  0.6593698187  0.659369819
#>  [5554,]  6.007165e-01  6.007165e-01  0.6007165290  0.600716529
#>  [5555,]  3.654647e-01  3.047922e-01  0.8700047851  0.870004785
#>  [5556,]  3.764411e-01  3.764411e-01  0.3764410501  0.984935287
#>  [5557,]  2.467838e-01  2.467838e-01  0.2467838368  1.176851754
#>  [5558,]  3.255612e-01  3.255612e-01  0.3255612402  0.900509368
#>  [5559,] -6.438967e-02  7.356129e-01  0.6889356162  0.688935616
#>  [5560,]  3.830006e-01  3.336070e-01  0.3500870809  0.940105090
#>  [5561,]  2.162253e-01  1.041424e+00  0.5640630155  1.000600989
#>  [5562,]  2.634996e-01  7.519614e-01  0.2449903038  1.293771506
#>  [5563,]  4.305726e-01  2.447588e-01  0.4305726167  0.620295245
#>  [5564,] -2.074401e-02  2.158624e-01  0.7570393348  0.712189608
#>  [5565,]  4.246899e-01  4.246899e-01  0.4246899255  0.424689926
#>  [5566,]  4.320023e-01  4.320023e-01  0.4320022854  1.216117488
#>  [5567,]  1.001184e-01  1.001184e-01 -0.0051775446  0.704919792
#>  [5568,]  4.444562e-01  2.298170e-01  0.4444562336  0.872963860
#>  [5569,]  2.051361e-02  5.059661e-01  0.5059661199  0.533777384
#>  [5570,] -4.804484e-02  3.745259e-01  0.3745258888  0.374525889
#>  [5571,]  9.688349e-02  4.315231e-01  0.4315231486  0.431523149
#>  [5572,]  5.877891e-01  5.877891e-01  0.5877890684  0.587789068
#>  [5573,]  4.069904e-01  3.806895e-01  0.4069904455  0.599976359
#>  [5574,]  3.026809e-01  4.882702e-01 -0.0759220153  0.488270203
#>  [5575,]  1.280214e-01  2.467965e-01  0.2467964877  0.246796488
#>  [5576,]  1.004925e-01  7.742369e-01  0.7742369479  0.513287936
#>  [5577,] -1.848898e-01  2.994525e-01  0.7364364478  0.299452456
#>  [5578,]  3.700976e-01  7.918290e-01  0.7918289925  0.370097603
#>  [5579,]  6.930401e-01  6.930401e-01  0.3479355131  0.693040124
#>  [5580,]  2.188633e-01  2.129772e-01  0.4369366760  0.703078457
#>  [5581,]  2.442650e-01  2.442650e-01  0.7825634456  0.782563446
#>  [5582,]  7.277368e-01  4.022480e-01  0.7277368119  0.633942869
#>  [5583,]  4.351732e-01  4.351732e-01  0.7207309658  0.435173203
#>  [5584,]  3.659001e-01  5.089863e-01  0.5089863317  0.508986332
#>  [5585,]  2.708838e-01  6.383679e-01  0.6383678574  0.638367857
#>  [5586,]  4.781020e-01  4.707168e-01  0.4707168189  0.470716819
#>  [5587,] -2.038620e-01  6.697254e-01  0.6697253829  0.669725383
#>  [5588,]  4.013219e-01  4.013219e-01  0.7681341580  0.768134158
#>  [5589,]  6.724635e-01  6.724635e-01  0.6724634634  1.094636253
#>  [5590,]  3.211624e-01  3.211624e-01  0.3211623935  1.083897692
#>  [5591,] -1.551210e-01  4.183271e-01  0.4183271020  0.816450022
#>  [5592,]  3.499557e-01  5.765581e-01  0.5765581489  0.576558149
#>  [5593,]  1.566296e-01  2.948526e-01  0.2948526227  0.505364296
#>  [5594,]  2.002853e-01  2.002853e-01  0.7640576358  0.709400113
#>  [5595,]  2.639180e-01  4.243244e-01  0.8756277977  0.632648805
#>  [5596,]  2.228911e-01  7.571598e-01  0.7571598199  0.757159820
#>  [5597,]  5.766397e-01  6.671390e-01  0.6206070197  0.576639665
#>  [5598,]  4.942765e-01  4.942765e-01  0.4942764617  0.494276462
#>  [5599,]  5.617330e-01  5.617330e-01  0.5617330011  0.561733001
#>  [5600,]  7.482131e-01  7.482131e-01  0.7482131056  0.748213106
#>  [5601,]  4.643437e-01  4.643437e-01  0.4643437080  0.464343708
#>  [5602,]  6.697431e-01  6.697431e-01  0.6697430911  0.669743091
#>  [5603,]  3.869172e-01  3.869172e-01  0.7468613809  0.746861381
#>  [5604,]  2.480406e-01  6.973271e-01  0.3251047658  0.697327144
#>  [5605,] -6.908518e-02 -6.908518e-02 -0.1478367074  0.354566014
#>  [5606,]  9.424030e-02  9.424030e-02  0.3495226944  0.408983471
#>  [5607,]  2.260409e-01  7.693553e-01  0.4916885570  0.769355342
#>  [5608,]  5.702149e-01  5.569224e-01  0.2216773173  0.917286688
#>  [5609,]  1.034097e-01  5.674228e-01  0.3476213967  0.500823733
#>  [5610,] -8.798766e-03  4.431230e-01  0.3170291016  0.688997638
#>  [5611,]  2.618697e-01  2.618697e-01  0.5238608543  0.970997375
#>  [5612,]  3.807499e-02  4.857206e-01  0.7729138338  0.575542547
#>  [5613,] -1.186059e-01  4.187263e-01  0.4678976051  0.643397248
#>  [5614,]  2.826166e-01  6.275071e-01  0.5331295037  1.090295606
#>  [5615,]  2.445253e-01  6.750464e-01  0.4614434496  0.672915461
#>  [5616,]  3.025846e-01  5.530122e-01  0.4861838357  0.553012171
#>  [5617,]  1.108704e-01  5.019110e-01  0.4990788458  0.501911031
#>  [5618,] -3.606248e-02  7.411423e-01  0.7846634963  0.735506627
#>  [5619,] -1.617334e-01  6.838502e-01  0.8373976034  0.837397603
#>  [5620,] -1.406539e-01  2.808019e-01  0.6713537620  0.272684465
#>  [5621,] -1.027500e-01  6.396087e-01  0.6396087164  0.765929851
#>  [5622,]  3.661990e-01  6.806603e-01  0.3258767725  0.771303692
#>  [5623,]  4.866328e-01  7.291885e-01  0.4866327692  0.486632769
#>  [5624,]  4.724295e-01  6.962739e-01  0.4724295290  0.902313062
#>  [5625,] -1.645745e-02  6.912307e-01  0.9883508075  0.691230749
#>  [5626,]  7.124014e-02  5.635983e-01  0.5101037190  0.510103719
#>  [5627,]  8.242991e-02  7.284312e-01  0.7284311930  0.728431193
#>  [5628,]  4.473460e-01  4.129388e-01  0.7855370673  0.677348607
#>  [5629,]  1.284409e-01  5.761411e-01  0.8696446116  0.580703298
#>  [5630,]  4.837575e-02  1.296646e-01  0.6776165037  0.449244212
#>  [5631,] -2.363510e-01  4.234203e-01  0.6595213817  1.196015336
#>  [5632,] -2.515649e-02  4.351992e-02  0.8113328505  0.811332851
#>  [5633,]  3.698096e-01  3.698096e-01  0.8718590838  0.873935662
#>  [5634,]  1.723328e-01  1.479876e-01  0.1479876340  1.039946156
#>  [5635,]  3.749142e-01  7.858314e-01  0.6897524611  0.785831377
#>  [5636,]  4.226863e-01  4.226863e-01  0.5637111324  0.750314349
#>  [5637,]  5.336816e-01  4.886238e-01  0.4433219779  0.533681595
#>  [5638,]  5.071002e-01  6.077676e-01  0.7066410670  0.820349270
#>  [5639,]  1.668276e-01  5.161554e-01  0.8079581147  0.703359025
#>  [5640,]  8.132469e-02  6.293229e-01  0.7750234978  0.775023498
#>  [5641,]  2.559212e-01  8.303812e-01  0.8303812080  0.556787285
#>  [5642,]  1.607212e-01  7.797521e-01  0.7015516809  0.701551681
#>  [5643,]  3.069324e-01  2.193518e-01  0.7971550273  0.797155027
#>  [5644,]  1.686335e-01  6.560538e-01  0.6560538157  0.656856022
#>  [5645,]  9.577737e-01  6.140731e-01  0.1699170541  0.957773685
#>  [5646,]  6.256627e-01  1.008638e+00  0.1831813486  0.625662707
#>  [5647,]  1.008200e-01 -5.507853e-02  0.5317585572  1.061564752
#>  [5648,]  3.389381e-01  5.431746e-01  0.6306569511  0.630656951
#>  [5649,]  1.080110e-01  7.099638e-01  0.9736469185  0.973646919
#>  [5650,]  2.002499e-01  2.002499e-01  0.2002499368  0.851461943
#>  [5651,]  1.238952e-01  6.783170e-01  0.2111681013  0.678316962
#>  [5652,]  1.800793e-01  5.882107e-01  0.6803248935  0.680324893
#>  [5653,]  2.308312e-01  6.634413e-01  0.6634413133  0.663441313
#>  [5654,]  2.825716e-02  5.665058e-01  0.0282571620  0.500388461
#>  [5655,]  3.481643e-01  4.355667e-01  0.2780938373  0.795165245
#>  [5656,]  9.832234e-02  3.701363e-01  0.0983223361  0.998426060
#>  [5657,]  3.337661e-01  6.113312e-01  0.6113311588  0.611331159
#>  [5658,]  5.981929e-01  5.981929e-01  0.5981929222  0.598192922
#>  [5659,]  3.083090e-01  3.083090e-01  0.3083090271  0.308309027
#>  [5660,]  6.668274e-01  6.668274e-01  0.6668274254  0.666827425
#>  [5661,]  2.576777e-01  8.860753e-01  0.8950542652  0.895054265
#>  [5662,] -1.003679e-01  6.680571e-01  0.6680570877  0.668057088
#>  [5663,] -1.301040e-01  6.109234e-01  0.6109233881  0.610923388
#>  [5664,]  4.481699e-02  4.751983e-01  0.3812108357  0.475198284
#>  [5665,]  4.437858e-01  4.140552e-01  0.4140551802  0.443785777
#>  [5666,]  3.384270e-01  3.384270e-01  0.3384269901  0.338426990
#>  [5667,]  4.415896e-01  4.415896e-01  0.4415896113  0.441589611
#>  [5668,]  4.540675e-01  4.540675e-01  0.4540674913  0.454067491
#>  [5669,]  7.487766e-01  7.487766e-01  0.7487765810  0.748776581
#>  [5670,]  7.296138e-01  6.703803e-01  0.5039844169  0.670380323
#>  [5671,]  5.661097e-01  5.525630e-01  0.5525630461  0.552563046
#>  [5672,]  6.077993e-01  6.077993e-01  0.6077992882  0.607799288
#>  [5673,]  9.413556e-02  4.613600e-01  0.3597179982  0.461360029
#>  [5674,]  3.790231e-01  4.271531e-01  0.3790231435  1.109452481
#>  [5675,]  4.219466e-01  4.219466e-01  0.5783058262  0.578305826
#>  [5676,]  2.726638e-01  2.726638e-01  0.2726637912  0.629430218
#>  [5677,]  2.495156e-02 -7.016389e-02  0.6869684466  0.847382889
#>  [5678,]  2.061006e-01  7.034823e-01  0.6076247810  0.908717926
#>  [5679,] -3.448932e-01  5.525632e-01  0.6564457501  1.024875574
#>  [5680,]  5.440689e-01  5.440689e-01  0.6241419647  0.994941196
#>  [5681,] -2.685522e-01  7.561459e-01  0.6479369854  0.736263592
#>  [5682,] -1.220111e-01  1.010791e+00  0.4802776032  0.251497260
#>  [5683,] -2.609989e-01  2.703808e-01  0.6183526514  0.618352651
#>  [5684,]  1.156999e-01  3.254801e-01  0.3254801363  0.399264883
#>  [5685,] -1.917115e-01  3.387659e-01  0.4071168416  0.338765927
#>  [5686,]  2.262889e-01  4.636391e-01  0.3346763525  0.463639145
#>  [5687,] -6.602236e-02  4.822876e-01  0.3974470466  0.892517540
#>  [5688,]  1.309197e-01  6.413159e-01  0.4213360103  0.421336010
#>  [5689,]  6.377082e-01  6.377082e-01  0.6377082311  0.637708231
#>  [5690,]  5.119598e-01  4.483408e-01  0.4483407865  0.448340786
#>  [5691,]  7.626475e-01  7.626475e-01  0.7626475307  0.762647531
#>  [5692,]  6.079064e-01  6.017682e-01  0.6017681847  0.607906426
#>  [5693,]  7.980587e-01  7.980587e-01  0.0797752069  0.798058741
#>  [5694,]  2.933344e-01  4.704169e-01  0.8190490091  0.819049009
#>  [5695,]  3.776783e-01  3.776783e-01  0.3776783479  0.669241399
#>  [5696,]  7.200983e-02  5.577018e-01  0.5577018034  0.072009827
#>  [5697,] -1.813478e-01  5.511671e-01  0.5511671428  0.551167143
#>  [5698,]  1.565931e-01  5.035572e-01  0.5828581791  0.582858179
#>  [5699,]  4.308456e-01  4.841236e-01  0.7627626056  0.484123637
#>  [5700,]  5.788404e-01  1.594803e+00  0.5788403923  0.578840392
#>  [5701,]  6.873871e-01  6.873871e-01  0.6873870946  0.687387095
#>  [5702,]  5.715136e-01  5.715136e-01  0.5715136075  1.062493913
#>  [5703,] -8.381003e-02  3.259784e-01  0.3259783961  0.810577647
#>  [5704,]  1.825214e-01  8.823270e-01  0.0796998788  0.882327027
#>  [5705,]  7.273298e-01 -2.409199e-02  0.7273298047  0.727329805
#>  [5706,]  4.666501e-01  4.840150e-01  0.4840149598  0.878162911
#>  [5707,]  5.441662e-01  5.441662e-01  0.5441662090  0.535431727
#>  [5708,]  2.622301e-01  2.622301e-01  1.1052490898  1.105249090
#>  [5709,] -4.416509e-01  3.106625e-01  0.8132711442  0.693555834
#>  [5710,]  1.384155e-01  4.294071e-01  0.3914268001  0.671304765
#>  [5711,] -5.986134e-02  5.137759e-01  0.5137759228  0.681804665
#>  [5712,]  2.055868e-01  4.011148e-01  0.4124992988  0.399932761
#>  [5713,]  1.388483e-01  2.300780e-01  0.6111758456  0.611175846
#>  [5714,]  3.578260e-01  5.921296e-01  0.5247674806  1.111082331
#>  [5715,]  4.512352e-01  1.146325e+00  0.2751107755  0.451235166
#>  [5716,]  4.340077e-01  4.340077e-01  0.4340076643  0.523045318
#>  [5717,]  3.926206e-01  3.926206e-01  0.1484314815  0.703311182
#>  [5718,]  6.545825e-01  8.007827e-01  0.4030144854  0.654582524
#>  [5719,] -1.302581e-01  9.034619e-01  0.2825749343  0.835345820
#>  [5720,] -2.090951e-01  5.161341e-01  0.3202094350  0.764560325
#>  [5721,]  2.527987e-01  5.605042e-01  0.6923674801  0.782532373
#>  [5722,]  5.497286e-01  4.829369e-01  0.5497285950  0.188834980
#>  [5723,]  2.902749e-01  6.292137e-01  0.3520457830  0.940097556
#>  [5724,] -4.715208e-01  6.125251e-01  0.7070129100  0.981245908
#>  [5725,]  5.388988e-01  5.780820e-01  0.5388988105  0.578081953
#>  [5726,]  2.541374e-01  2.541374e-01  0.6776882429  0.677688243
#>  [5727,]  2.986298e-01  4.324257e-01  0.1157807097  1.157214112
#>  [5728,]  1.712923e-01  5.648057e-01  0.5648056926  0.747926676
#>  [5729,]  6.154098e-01  6.154098e-01  0.6154097954  0.615409795
#>  [5730,]  6.491666e-01  6.491666e-01  0.6491665883  0.649166588
#>  [5731,]  1.500073e-01  3.875860e-01  0.3875860383  1.166795543
#>  [5732,]  1.609074e-01  2.197346e-01  0.2197346276  0.219734628
#>  [5733,]  2.524798e-01  2.524798e-01  0.2524797997  0.252479800
#>  [5734,] -6.118357e-01  4.564071e-01  0.0692934585  1.197071037
#>  [5735,]  4.005307e-02  4.274890e-01  0.4123759334  0.412375933
#>  [5736,]  4.514124e-01  4.514124e-01  0.4514124064  0.451412406
#>  [5737,]  2.590403e-01  2.590403e-01  0.2590403058  0.353399277
#>  [5738,]  3.557803e-01  3.557803e-01  0.5569943923  0.556994392
#>  [5739,]  1.828165e-02  1.828165e-02  0.7048119304  0.704811930
#>  [5740,]  4.517285e-01  5.843927e-01  0.5843927263  0.667220607
#>  [5741,]  1.345158e-01  4.949019e-01  0.4949019385  0.788032765
#>  [5742,]  1.137606e-01  5.506769e-01  0.6631317842  0.663131784
#>  [5743,]  6.887128e-02  6.999295e-01 -0.0441106351  0.504602346
#>  [5744,] -9.106620e-02  5.610914e-01  0.5610913866  0.561091387
#>  [5745,] -3.415692e-01  5.295175e-01  0.0331744014  0.492280414
#>  [5746,] -3.338556e-01  8.191477e-01  0.5620366466  0.621184518
#>  [5747,] -2.732563e-01  4.561880e-01  0.2079558686  0.456188048
#>  [5748,]  2.234266e-01  4.076247e-01  0.2234265953  0.425824203
#>  [5749,]  1.488751e-01  5.789515e-01  0.5789515330  0.578951533
#>  [5750,] -1.089986e-01  5.840224e-01  0.3037178954  0.945637633
#>  [5751,]  4.480537e-01  4.480537e-01  0.4480536743  0.766318863
#>  [5752,]  5.750134e-01  7.225891e-01  1.1391576516  0.722589089
#>  [5753,]  3.695751e-01  8.046801e-01  0.8046800517  0.369575100
#>  [5754,]  3.791637e-01  3.791637e-01  0.3791637093  0.379163709
#>  [5755,]  6.260426e-01  3.941342e-01  0.0609823825  0.626042623
#>  [5756,]  2.550811e-01  4.929977e-01  0.2550811391  0.488637780
#>  [5757,]  4.166976e-01  4.166976e-01  0.4166976442  0.416697644
#>  [5758,]  2.443180e-01  2.443180e-01  0.1698790706  0.449920462
#>  [5759,]  3.527974e-01  4.586102e-01  0.3527973667  0.640187007
#>  [5760,]  2.876962e-01  3.828121e-01  0.3595219957  0.954741333
#>  [5761,]  2.724349e-01  6.102825e-01  0.2990233853  0.610282522
#>  [5762,]  4.885753e-01  4.885753e-01  0.4885753179  0.488575318
#>  [5763,] -3.021817e-01  9.718624e-01  0.5030558833  0.503055883
#>  [5764,]  5.740091e-01  5.740091e-01  0.5740091072  0.574009107
#>  [5765,] -5.925486e-02  4.512420e-01  0.4512420009  0.451242001
#>  [5766,] -3.260737e-02  3.829662e-01  0.8406740712  0.894581533
#>  [5767,]  4.713409e-02  5.385211e-01  0.9861552805  0.981648520
#>  [5768,] -1.183717e-01  4.013639e-01  1.0629596903  1.062959690
#>  [5769,]  3.076029e-01  3.076029e-01  0.3076028913  0.768541550
#>  [5770,]  4.030544e-01  4.030544e-01  0.5973226970  0.403054438
#>  [5771,]  6.210834e-02  4.889473e-01  0.4889472775  0.488947277
#>  [5772,]  4.123417e-01  6.081404e-01  0.4123417115  0.753587257
#>  [5773,]  1.764502e-01  5.172446e-01  0.5812101345  0.581210134
#>  [5774,]  3.792998e-01  7.864873e-01  0.7864873357  0.847917225
#>  [5775,]  7.078656e-01  3.962176e-01  0.7078656082  0.707865608
#>  [5776,] -1.238144e-01  1.330172e-01  0.4182095579  0.681029564
#>  [5777,]  1.293939e-01  7.660952e-01  0.2867627214  0.538843009
#>  [5778,]  2.850916e-03  5.451106e-01  0.5919438696  0.591943870
#>  [5779,]  2.775564e-01  2.775564e-01  0.7143901366  0.277556364
#>  [5780,]  3.595174e-01  4.852918e-01  0.7013728859  0.701372886
#>  [5781,]  9.248244e-02  7.080864e-01  0.3878383429  0.708086427
#>  [5782,]  1.065426e-01  3.005664e-01  0.4836391237  1.056497912
#>  [5783,]  1.826639e-01  5.287673e-01  0.1826638574  0.950872948
#>  [5784,]  2.699675e-01  2.699675e-01  0.2759950145  0.765875181
#>  [5785,]  2.867685e-01  9.490633e-01  0.3652207655  0.349797032
#>  [5786,]  3.947569e-01  8.723538e-01  0.8723537702  0.394756932
#>  [5787,]  6.882756e-01  6.882756e-01  0.6882755750  0.688275575
#>  [5788,] -1.085207e+00  7.086706e-01  0.7086705758  0.708670576
#>  [5789,]  2.225406e-01  6.039205e-01  0.6039204770  0.603920477
#>  [5790,]  1.928302e-02  2.183775e-01  0.2183775167  0.695295732
#>  [5791,]  1.788549e-01  7.942459e-01  0.5835437515  0.646121220
#>  [5792,]  3.453162e-01  4.678145e-01  0.4678144722  0.467814472
#>  [5793,]  2.509752e-01  2.509752e-01  0.2509751831  0.250975183
#>  [5794,]  4.184350e-01  4.184350e-01  0.5878179180  0.418435021
#>  [5795,]  5.485549e-01  5.485549e-01  0.5485549262  0.560269352
#>  [5796,]  4.675481e-02  6.499105e-01  0.5435169665  0.649910545
#>  [5797,]  1.389711e-01  2.550658e-01  0.6482376053  0.624594638
#>  [5798,]  2.973436e-01 -2.572110e-02  0.8628100872  0.592877163
#>  [5799,] -5.608834e-02  4.594617e-01  0.5984553521  0.598455352
#>  [5800,] -1.353667e-01  2.491577e-01  0.1600349831  0.466339212
#>  [5801,]  2.146830e-01  3.703460e-01  0.2763020494  0.370345979
#>  [5802,] -5.334861e-02  5.170943e-01  0.7687523466  0.768752347
#>  [5803,]  1.353583e-01  6.289427e-01  0.3236202322  0.135358284
#>  [5804,]  5.005477e-01  4.207799e-01  0.2948576075  0.500547699
#>  [5805,]  4.408887e-01  4.408887e-01  0.4778306735  0.440888664
#>  [5806,] -1.989019e-02  4.184000e-01  0.4184000021  0.723639527
#>  [5807,]  4.603345e-01  4.603345e-01  0.4603345127  0.709912650
#>  [5808,]  1.754792e-01  5.544076e-01  0.5544075809  0.175479242
#>  [5809,] -5.534382e-02  6.796800e-01  0.6796800229  0.679680023
#>  [5810,]  2.861484e-02  4.724415e-01  0.4724415349  0.980339027
#>  [5811,] -1.167052e-01  5.532167e-01  0.9994645439  0.553216676
#>  [5812,] -9.395155e-02  3.648378e-01  0.7164466657  0.716446666
#>  [5813,] -2.297466e-02  6.579287e-01  0.6579287353  0.657928735
#>  [5814,]  1.668436e-01  6.362251e-01  0.6362251166  0.636225117
#>  [5815,] -3.654063e-02 -3.654063e-02  1.0418942898  1.041894290
#>  [5816,]  7.735773e-01  7.735773e-01  0.8008348335  0.800834834
#>  [5817,] -3.739595e-01  6.038307e-01  0.6038307500  0.603830750
#>  [5818,]  3.501204e-01  5.709267e-01  0.6804083162  0.680408316
#>  [5819,]  4.218489e-01  4.218489e-01  0.4218488901  0.618311221
#>  [5820,] -7.887085e-02  4.038518e-01  0.4038518479  0.747310128
#>  [5821,] -2.465966e-01  7.847226e-01  0.8950005966  0.895000597
#>  [5822,] -1.251440e-01  5.623598e-01  0.6240768261  0.812580495
#>  [5823,]  8.922038e-02  3.175389e-01  0.4129601030  0.412960103
#>  [5824,]  2.112148e-01  3.967136e-01  0.2112147764  0.396713552
#>  [5825,]  3.448101e-01  3.448101e-01  0.3448100671  0.988146798
#>  [5826,]  3.922334e-01  5.458051e-01  0.3922333714  0.430954498
#>  [5827,]  4.719003e-01  5.972528e-01  0.4719003421  0.597252846
#>  [5828,]  1.836426e-01  3.695092e-01  0.4426833287  0.442683329
#>  [5829,]  3.764576e-01  3.764576e-01  0.3764576000  0.376457600
#>  [5830,]  2.115218e-01  2.950889e-01  0.2950888842  0.295088884
#>  [5831,]  6.839723e-02  5.613648e-01  0.0683972345  0.555054395
#>  [5832,]  3.103255e-01  7.074648e-01  0.7074648065  0.707464807
#>  [5833,]  6.236726e-01  6.236726e-01  0.6236726173  0.623672617
#>  [5834,]  5.910429e-01  5.910429e-01  0.5910429150  0.591042915
#>  [5835,]  6.691555e-02  6.011968e-01  0.6011968229  0.601196823
#>  [5836,]  5.046565e-01  5.046565e-01  0.5046565141  0.504656514
#>  [5837,]  5.646711e-01  4.665359e-01  0.5646710597  0.564671060
#>  [5838,]  3.782997e-01  3.782997e-01  0.5256164324  0.525616432
#>  [5839,]  4.392466e-01  4.392466e-01  0.4293998458  0.439246570
#>  [5840,]  4.959502e-01  4.959502e-01  0.4959501849  0.495950185
#>  [5841,]  2.823267e-01  2.823267e-01  0.2823267147  0.516025460
#>  [5842,]  1.817291e-01  6.900325e-01  0.1817291023  0.690032546
#>  [5843,]  3.867576e-01  7.117334e-01  0.3867575509  0.711733419
#>  [5844,] -5.229801e-02  4.035416e-01  0.4035415518  0.403541552
#>  [5845,]  9.977112e-02  5.498616e-01  0.5409527032  0.540952703
#>  [5846,]  1.517851e-01  4.998602e-01  0.4998601541  0.968111664
#>  [5847,]  4.507971e-01  3.482954e-01  0.4507970974  1.128853937
#>  [5848,] -6.818114e-02  5.084986e-01  0.5084986326  0.629356383
#>  [5849,]  5.274391e-01  4.586114e-01  0.8403258651  0.840325865
#>  [5850,]  6.903036e-01 -9.731931e-02  0.6903035965  0.690303597
#>  [5851,]  6.719446e-01  3.485538e-01  0.2667861257  0.671944603
#>  [5852,]  2.275964e-01  4.307319e-01  0.2275963562  0.769996999
#>  [5853,]  3.756743e-01  5.078760e-01  0.5468667980  0.507875954
#>  [5854,]  6.314410e-01  6.314410e-01  0.3962091108  0.631441010
#>  [5855,]  7.244287e-01  7.244287e-01  0.7689621728  0.724428676
#>  [5856,]  5.191706e-01  3.606790e-01  0.5191705642  0.813642286
#>  [5857,]  3.155592e-01  7.306516e-01  0.4873234441  0.872007032
#>  [5858,]  4.544820e-01  6.971057e-01  0.6971056944  0.676846173
#>  [5859,]  2.901203e-01  2.901203e-01  0.6587452704  0.780552868
#>  [5860,] -4.550660e-01  7.655320e-01  0.7655319650  0.655260406
#>  [5861,]  4.656347e-01  3.709158e-01  0.3709158309  0.465634690
#>  [5862,]  4.486364e-01  2.142310e-01  0.4486363662  0.644380661
#>  [5863,]  4.864458e-02  5.401354e-01  0.4567063781  0.456706378
#>  [5864,]  3.217387e-01  3.217387e-01  0.3217386823  0.517255976
#>  [5865,]  5.179758e-01 -1.311111e-02  0.3745438967  0.517975762
#>  [5866,]  5.232219e-02  5.232219e-02  0.0523221912  0.696981268
#>  [5867,]  8.558017e-02  7.326567e-01  0.3573182988  0.410884260
#>  [5868,]  2.403622e-01  5.828701e-01  0.2403622254  0.582870096
#>  [5869,]  3.194192e-01  3.194192e-01  0.7174966575  0.374011436
#>  [5870,]  3.782812e-01  5.950078e-01  0.3782812374  0.595007776
#>  [5871,]  3.176574e-03  5.943958e-01  0.1147958098  0.594395832
#>  [5872,]  1.171490e-02  5.578256e-01  0.5578256139  0.557825614
#>  [5873,]  5.355782e-01  5.355782e-01  0.5355782210  0.535578221
#>  [5874,]  6.556662e-01  6.556662e-01  0.6556662354  0.655666235
#>  [5875,]  4.316930e-01  4.316930e-01  0.4316930192  0.431693019
#>  [5876,]  4.862266e-01  4.862266e-01  0.4862266131  0.486226613
#>  [5877,] -3.123325e-02  6.320800e-01  0.6275867790  0.632079982
#>  [5878,]  6.214802e-01  6.214802e-01  0.4288937080  0.621480186
#>  [5879,] -3.483152e-01  4.173707e-01  0.5925781488  0.592578149
#>  [5880,]  3.233495e-01  3.233495e-01 -0.0682677057  0.757056102
#>  [5881,]  3.492055e-01  3.492055e-01  0.3492055269  0.576454358
#>  [5882,]  6.013644e-01  6.013644e-01  0.6013644110  0.601364411
#>  [5883,]  4.849607e-01  4.849607e-01  0.4849606780  0.484960678
#>  [5884,]  5.416211e-01  5.416211e-01  0.5416210831  0.541621083
#>  [5885,]  4.302142e-01  4.302142e-01  0.4302142454  0.430214245
#>  [5886,]  4.218283e-01  8.255035e-01  0.4218282976  0.421828298
#>  [5887,]  6.731976e-01  6.731976e-01  0.6731976008  0.673197601
#>  [5888,]  6.468645e-01  7.877918e-01  0.7877917537  0.787791754
#>  [5889,]  6.705910e-01  6.705910e-01  0.6705910044  0.670591004
#>  [5890,]  7.353159e-01  7.353159e-01  0.7353158900  0.735315890
#>  [5891,]  3.245245e-01  3.245245e-01  0.3245245032  0.324524503
#>  [5892,]  4.262089e-01  4.262089e-01  0.4262088926  0.414409474
#>  [5893,]  4.085546e-01  4.085546e-01  0.7498844470  0.749884447
#>  [5894,]  4.905266e-01  4.905266e-01  0.4905265753  0.490526575
#>  [5895,] -3.090052e-01  5.889858e-01  0.5889858317  0.588985832
#>  [5896,]  5.464912e-01  5.464912e-01  0.5464911775  0.546491178
#>  [5897,]  6.341475e-01  6.341475e-01  0.6341475395  0.634147540
#>  [5898,] -1.715451e-01  8.130766e-01  0.6706613112  0.813076572
#>  [5899,]  1.291058e-01  6.703169e-01  0.6703168776  0.670316878
#>  [5900,]  1.289430e-01  5.925270e-01  0.5925270241  0.592527024
#>  [5901,]  2.389882e-01  5.490887e-01  0.5490887089  0.549088709
#>  [5902,]  1.790724e-01  5.685835e-01  0.5685835306  0.764376701
#>  [5903,]  1.480145e-01  4.509941e-01  0.6855964775  0.450994110
#>  [5904,]  9.575556e-02  5.053637e-01  0.0957555584  0.802288043
#>  [5905,] -3.430325e-02  8.914262e-01  0.2882302618  0.561744713
#>  [5906,] -4.510570e-02  5.626047e-01  0.1167278936  1.236497840
#>  [5907,]  1.650670e-01  4.008474e-01  0.5868914431  0.165067012
#>  [5908,]  3.051660e-01  4.086456e-01  0.4540055846  0.674632790
#>  [5909,]  3.030014e-01  2.816147e-01  0.5430452335  0.670604357
#>  [5910,]  6.059694e-01  6.059694e-01  0.6059694468  0.605969447
#>  [5911,]  2.380122e-01  2.511182e-01  0.4057420993  0.405742099
#>  [5912,]  3.031868e-02  7.055354e-01  0.7055354195  1.045084628
#>  [5913,]  2.302205e-01  5.869749e-01  0.8652948986  0.873063945
#>  [5914,]  6.710918e-02  6.757985e-01  0.5154631695  0.929644940
#>  [5915,]  5.883015e-02  7.671546e-01  0.7581231245  0.767154591
#>  [5916,] -2.053408e-01  3.088349e-01  0.5439201873  0.892568039
#>  [5917,]  4.793858e-01  8.667125e-02  0.0996032424  0.479385849
#>  [5918,]  2.784782e-01  2.784782e-01  0.2784782468  0.278478247
#>  [5919,]  3.775235e-01  3.775235e-01  0.3775234914  0.377523491
#>  [5920,]  4.217980e-01  4.898551e-01  0.3000567595  0.421798037
#>  [5921,]  1.149940e-01  4.535050e-01  0.4535050177  0.472018692
#>  [5922,]  1.309136e-01  6.979084e-01  0.6979083847  0.697908385
#>  [5923,] -9.541956e-02  6.493160e-01  0.6493160065  0.649316007
#>  [5924,]  6.338752e-01  6.338752e-01  0.6338752208  0.633875221
#>  [5925,]  3.189145e-01  3.189145e-01  0.3189144794  0.318914479
#>  [5926,]  3.856992e-01  3.856992e-01  0.3856992343  0.385699234
#>  [5927,]  2.779652e-01  7.076238e-01  0.7076238029  0.854068322
#>  [5928,]  7.045162e-02  4.719885e-01  0.4719884508  0.669240342
#>  [5929,]  3.138857e-03  3.831549e-01  0.3831549029  0.383154903
#>  [5930,] -2.438206e-01  4.064459e-01  0.7171805152  0.632776981
#>  [5931,]  4.901909e-01  3.453131e-01  0.5887153669  0.739089330
#>  [5932,]  6.372758e-01  8.847779e-01  0.6011576660  0.884777928
#>  [5933,]  5.556129e-01  4.909183e-01  0.4648257181  0.490918284
#>  [5934,]  2.214262e-01  4.575587e-01  0.4265488538  0.457558697
#>  [5935,]  4.298521e-01  4.298521e-01  0.2652211277  0.429852123
#>  [5936,]  2.749014e-01  3.463312e-01  0.3897946674  0.274901355
#>  [5937,] -2.632747e-01  3.329470e-01  0.0611511504  0.220413047
#>  [5938,]  1.469081e-02  4.792737e-01  0.8268014978  0.479273666
#>  [5939,]  2.059426e-01  5.434947e-01  0.6899123514  0.788280350
#>  [5940,]  4.975463e-01  5.153934e-01  0.5314604221  0.717649524
#>  [5941,]  3.162098e-01  6.536429e-01  0.7760254496  0.578948010
#>  [5942,] -3.270044e-01  7.238184e-01  0.4370185105  0.723818399
#>  [5943,] -5.106887e-03  4.341031e-01  0.4341030585  0.814276222
#>  [5944,]  3.668077e-01  8.211588e-01  0.7933320423  0.793332042
#>  [5945,]  2.212093e-01  8.469122e-01  0.3683127817  1.123047166
#>  [5946,]  2.666397e-01  6.975507e-01  0.5202243942  0.927599880
#>  [5947,]  2.432208e-01  5.791880e-01  0.5791879580  0.653169706
#>  [5948,]  2.159527e-01  3.544193e-01  0.9841850693  0.712515869
#>  [5949,]  2.917745e-01  5.841664e-01  0.5841663864  0.648151135
#>  [5950,]  4.395969e-01  4.395969e-01  0.4395969234  0.970533313
#>  [5951,] -4.351489e-01  5.226177e-01  0.5994254117  0.902461949
#>  [5952,]  3.477261e-01  7.547636e-01  0.3477260782  0.754763607
#>  [5953,]  2.970939e-01  2.970939e-01  0.6942819762  0.694281976
#>  [5954,]  5.654579e-01  6.700082e-01  0.5654578866  0.565457887
#>  [5955,]  5.974072e-01  5.974072e-01  0.5974072275  0.597407228
#>  [5956,] -1.304052e-02  4.877096e-01  0.4877095710  0.750868913
#>  [5957,]  2.063472e-01  4.764223e-01  0.4810564665  0.797627255
#>  [5958,]  3.112103e-01  7.713913e-01  0.9956376820  0.771391313
#>  [5959,]  3.965419e-01  3.965419e-01  0.5231488889  0.523148889
#>  [5960,]  6.572790e-01  6.297938e-01  0.6572790123  0.696624068
#>  [5961,]  5.229796e-01  4.154566e-01  0.5229795937  0.900295050
#>  [5962,] -1.000160e-01  6.130543e-01  0.6207008529  0.620700853
#>  [5963,]  4.979786e-02  8.635986e-01 -0.0723687072  0.863598644
#>  [5964,] -3.850098e-01  8.422222e-01  0.5510887066  0.551088707
#>  [5965,] -3.074850e-02  6.188917e-01  0.6188917128  0.618891713
#>  [5966,] -1.637219e-01  6.856440e-02  0.9518082757  0.951808276
#>  [5967,]  2.391594e-01  7.858767e-01  0.7390786656  0.883955711
#>  [5968,]  5.359863e-01  6.004856e-01  0.7702323463  0.831483216
#>  [5969,]  2.426038e-01  7.072404e-01  0.6326926775  0.707240377
#>  [5970,]  3.534956e-01  3.534956e-01  0.7080691295  0.586706059
#>  [5971,]  4.877349e-01  6.785670e-01  0.6785670002  0.487734884
#>  [5972,]  3.774984e-01  3.778197e-01  0.7601924741  0.743940260
#>  [5973,]  2.675211e-01  1.612951e-01  0.2715241481  0.782966001
#>  [5974,]  3.847134e-01  3.847134e-01  0.7422473822  0.806112177
#>  [5975,] -3.600616e-01  3.649932e-01  0.9046919829  0.904691983
#>  [5976,]  3.407855e-01  4.617443e-01  0.4617442891  0.461744289
#>  [5977,]  5.231607e-01  5.231607e-01  0.5231607332  0.523160733
#>  [5978,] -2.338026e-01  7.137968e-01  0.7137967724  0.713796772
#>  [5979,] -1.038275e-01  3.565236e-01  0.6779720440  0.677972044
#>  [5980,]  4.088508e-01  7.323183e-01  0.2477057581  0.732318317
#>  [5981,]  3.091805e-01  6.368707e-01  0.5617557041  0.636870742
#>  [5982,]  1.156227e-01  1.156227e-01  0.6897970907  0.562057745
#>  [5983,]  7.008278e-01  3.225461e-01  0.7008277821  0.322546146
#>  [5984,]  1.321742e-01  4.110145e-01  0.5388854597  0.538885460
#>  [5985,]  1.601373e-01  3.743280e-01  0.1601373031  1.052134654
#>  [5986,] -2.354530e-01  5.060021e-01  0.2153430808  1.194608619
#>  [5987,]  3.268230e-01  2.743941e-01  0.3940130038  1.215876829
#>  [5988,]  5.389416e-01  5.107346e-01  0.3331439399  0.015242901
#>  [5989,]  3.883125e-01  6.118661e-01  0.6118661043  0.611866104
#>  [5990,]  1.638342e-01  6.581138e-01  0.6581137690  0.686655456
#>  [5991,] -1.981558e-01  6.614435e-01  0.7512300364  0.661443514
#>  [5992,] -1.368238e-02  6.383747e-01  0.5325572170  0.532557217
#>  [5993,]  3.604236e-01  3.604236e-01  0.3604236306  0.360423631
#>  [5994,] -9.012094e-02  4.307428e-01  0.4307427658  0.430742766
#>  [5995,]  4.072039e-01  4.072039e-01  0.4072038716  0.407203872
#>  [5996,]  4.233449e-01  4.233449e-01  0.4233448654  0.423344865
#>  [5997,]  4.411974e-01  4.411974e-01  0.4411973605  0.441197361
#>  [5998,] -2.315830e-03  6.462764e-01  0.6462764437  0.646276444
#>  [5999,] -1.533929e-01  3.734313e-01  0.5705505233  0.570550523
#>  [6000,]  4.052161e-02  6.258757e-01  0.6258756864  0.625875686
#>  [6001,]  2.891437e-01  5.274676e-01  0.8755098797  0.527467561
#>  [6002,]  6.040952e-01  6.040952e-01  0.5418653265  0.749856578
#>  [6003,]  5.137664e-01  5.168666e-01  0.6095497905  0.750658149
#>  [6004,]  4.362167e-01  8.017287e-01  0.4362167210  0.801728684
#>  [6005,]  5.331669e-01  6.312694e-01  0.6312693599  0.631269360
#>  [6006,]  4.058155e-01  2.652833e-01  0.4058155476  0.405815548
#>  [6007,]  2.508256e-01  4.402682e-01  0.2508255938  0.771096780
#>  [6008,]  4.178091e-01  4.114059e-01  0.0788348242  0.759189594
#>  [6009,]  1.443852e-01  4.703851e-01  0.5653201321  0.981619695
#>  [6010,] -2.636947e-01  2.850161e-01  0.7257751780  0.898040908
#>  [6011,]  4.528024e-01  3.534691e-01  0.6364908820  1.055107614
#>  [6012,]  3.382308e-01  4.835970e-01  0.6764242147  0.930137835
#>  [6013,]  4.650493e-01  2.742313e-01  0.4650493124  0.931436143
#>  [6014,]  1.472564e-01  1.472564e-01  0.2849599273  1.216701883
#>  [6015,]  2.122542e-01  2.122542e-01  0.2122541985  0.887709970
#>  [6016,]  2.886819e-01  2.886819e-01  0.8139207344  0.813920734
#>  [6017,]  4.015962e-01  2.765130e-01  0.7203436112  0.720343611
#>  [6018,]  2.320364e-01  5.270268e-01  0.7848603005  0.232036358
#>  [6019,]  2.280265e-01  6.108269e-01  0.6652209513  0.291791405
#>  [6020,] -1.302075e-01  6.210393e-01  0.5586083542  0.621039271
#>  [6021,]  2.542411e-01  2.892848e-01  0.8103122110  0.664912034
#>  [6022,]  1.085005e-01  4.189661e-01  0.6915794035  0.808478488
#>  [6023,]  6.345766e-01  9.640018e-01  0.7086265300  0.964001849
#>  [6024,]  1.034523e+00  8.502016e-01  0.6934987053  1.034523189
#>  [6025,]  2.503819e-01  3.099107e-01  0.6919404127  0.879521583
#>  [6026,]  3.310846e-01  7.647993e-01  0.7647992867  0.764799287
#>  [6027,]  4.940694e-01  6.592239e-01  0.4940693605  0.494069360
#>  [6028,]  3.878357e-01  2.303719e-01  0.3878357267  0.987535208
#>  [6029,]  1.177768e-02  4.642160e-01  0.5858614076  1.249582388
#>  [6030,]  3.420719e-01  6.921615e-01  0.5148786627  0.342071907
#>  [6031,]  2.416528e-01  4.939870e-01  0.2416528343  0.241652834
#>  [6032,] -2.522365e-01  7.879974e-01  0.5838242094  0.787997394
#>  [6033,] -2.346347e-01  5.319390e-01  0.3977700227  0.767516742
#>  [6034,] -4.382417e-02  5.970455e-01  0.9876459865  0.987645986
#>  [6035,] -1.762638e-01  6.477245e-01  0.6477245135  0.647724513
#>  [6036,] -2.573271e-01  7.262202e-01  0.7262201900  0.726220190
#>  [6037,]  3.229246e-01  1.288663e-01  0.3229246074  0.610838988
#>  [6038,]  4.998675e-02  2.989348e-01  0.0499867519  0.955147326
#>  [6039,] -1.870877e-01  5.472832e-01  0.5472832295  1.119452444
#>  [6040,]  1.228543e-01  5.598522e-01  0.5598521791  0.559852179
#>  [6041,]  2.339893e-02  6.329498e-01  0.6329497732  0.632949773
#>  [6042,] -1.225156e-01  6.365323e-01  0.6365323352  0.764203627
#>  [6043,]  4.666444e-01  4.327357e-01  0.4327357252  0.432735725
#>  [6044,]  5.507772e-01  5.507772e-01  0.5507772039  0.550777204
#>  [6045,]  5.132102e-01  5.132102e-01  0.5132101708  0.513210171
#>  [6046,]  6.917530e-01  6.917530e-01  0.6917529839  0.376761591
#>  [6047,] -2.093918e-01  7.703860e-01  0.0984682911  0.770385955
#>  [6048,]  2.442701e-03  1.519200e-01  0.9233569071  0.923356907
#>  [6049,] -8.348562e-02  7.530074e-01  0.6461156782  0.789172556
#>  [6050,]  5.012722e-01  5.012722e-01  0.5590180609  0.837331343
#>  [6051,]  3.272503e-01  6.607638e-01  0.6607637559  0.660763756
#>  [6052,]  4.579295e-01  4.579295e-01  0.4579294708  0.457929471
#>  [6053,]  3.371265e-01  3.371265e-01  0.3371265224  0.337126522
#>  [6054,]  6.199593e-01  6.199593e-01  0.6199592892  0.619959289
#>  [6055,] -1.427682e-01  3.498799e-01  0.3498799122  0.349879912
#>  [6056,]  3.522743e-01  7.719328e-01  0.3522742879  0.633583433
#>  [6057,]  2.716849e-01  2.716849e-01  0.2716848966  0.271684897
#>  [6058,]  5.603403e-01  5.603403e-01  0.5603402730  0.560340273
#>  [6059,]  6.020836e-01  6.020836e-01  0.6020835924  0.602083592
#>  [6060,]  7.494540e-01  7.494540e-01  0.7494539860  0.749453986
#>  [6061,]  5.321775e-01  5.321775e-01  0.5321775068  0.532177507
#>  [6062,] -4.191958e-01  5.242985e-01  0.5242985387  0.319870064
#>  [6063,]  3.747544e-01  3.747544e-01  0.2194483931  0.219448393
#>  [6064,]  3.250115e-01  3.250115e-01  0.5221835994  0.522183599
#>  [6065,]  2.888489e-01  7.326134e-01  0.7326133633  0.732613363
#>  [6066,] -1.095200e-01  1.094370e+00  1.0943703287  1.094370329
#>  [6067,]  1.092854e-01  4.366447e-01  0.4366447077  0.436644708
#>  [6068,]  4.004136e-01  4.004136e-01  0.4004135790  0.400413579
#>  [6069,]  4.324621e-01  4.324621e-01  0.4324620711  0.432462071
#>  [6070,]  5.286324e-01  5.783172e-01  0.5286323515  0.528632352
#>  [6071,] -2.533948e-01  5.109070e-01  0.8864574130  0.886457413
#>  [6072,]  2.733989e-01  8.204795e-01  0.8204794877  1.311882467
#>  [6073,] -1.824467e-01  6.046433e-01  0.6447244879  0.604643283
#>  [6074,]  3.834658e-01  3.834658e-01  0.3834658016  0.383465802
#>  [6075,]  2.015110e-01  3.249000e-01  0.3249000290  0.201511000
#>  [6076,]  5.432381e-01  5.432381e-01  0.1153598507  1.047854683
#>  [6077,]  1.274608e-01  1.274608e-01  0.8531714104  0.943633371
#>  [6078,]  2.870852e-01  4.160609e-01  0.5596362783  0.559636278
#>  [6079,]  4.447995e-01  5.045339e-01  0.5045339180  0.504533918
#>  [6080,]  6.079995e-01  6.079995e-01 -0.0664765793  0.607999467
#>  [6081,]  6.847657e-01  4.912647e-01  0.7313151409  0.684765682
#>  [6082,]  6.271500e-01  3.641325e-01  0.6820403694  0.682040369
#>  [6083,] -5.073957e-01  8.347147e-01  0.8347146937  0.834714694
#>  [6084,]  5.695991e-01  3.390301e-01  0.5540998486  0.599267839
#>  [6085,]  3.172795e-02  4.922470e-01  0.4414360569  0.621331889
#>  [6086,] -1.702717e-01  3.172641e-01  0.8384837466  1.129515361
#>  [6087,]  7.640776e-02  5.086369e-01  0.6433667336  0.643366734
#>  [6088,]  5.914383e-01  6.745693e-01  0.6745693039  0.591438277
#>  [6089,]  1.601257e-01  4.006155e-01  0.1601256776  0.910019654
#>  [6090,]  1.573396e-01  3.889608e-01  0.4159099524  0.867000742
#>  [6091,]  5.416614e-01  4.574426e-01  0.4574425692  0.608139923
#>  [6092,]  5.392219e-01  3.984474e-01  0.3984473665  0.398447366
#>  [6093,]  2.497553e-01  6.263705e-01  0.3500550748  0.626370511
#>  [6094,]  1.142331e-01  5.256483e-01  0.1142330668  0.375966142
#>  [6095,]  9.509596e-02  1.765669e-01  0.4411306688  0.441130669
#>  [6096,]  2.831613e-01  2.831613e-01  0.2223359042  0.703300809
#>  [6097,]  3.419984e-01  3.350116e-01  0.4713210631  0.471321063
#>  [6098,]  5.010694e-01  5.010694e-01  0.5829060399 -0.305059381
#>  [6099,]  2.468065e-01  6.211422e-01  0.6399589164  0.639958916
#>  [6100,]  7.915392e-02  6.919957e-01  0.7061266188  0.706126619
#>  [6101,] -2.080198e-02  6.639779e-01  0.6639779069  0.663977907
#>  [6102,]  5.166421e-01  5.166421e-01  0.5166421224  0.516642122
#>  [6103,]  4.095141e-02  5.386093e-01  0.5386092560  0.538609256
#>  [6104,]  2.693673e-01  5.400737e-01  0.5400737085  0.540073708
#>  [6105,]  2.781664e-01  4.962697e-01  0.2781664320  0.496269680
#>  [6106,]  2.772905e-01  2.772905e-01  0.6599937106  0.440061476
#>  [6107,] -1.997388e-01  4.239947e-01  0.4678745508  1.065392416
#>  [6108,] -5.889903e-02  2.994378e-01  0.0611049194  0.806693342
#>  [6109,]  2.542079e-01  1.383498e-01  0.2542079488  0.891589214
#>  [6110,]  4.517201e-01  1.973223e-01  0.1011117134  0.885232952
#>  [6111,]  4.419741e-01  4.419741e-01  0.4401464261  0.751351926
#>  [6112,]  5.152897e-01  4.861850e-01  0.5152896832  0.877233362
#>  [6113,]  2.300855e-01 -2.844121e-02  0.4824776067  0.539065715
#>  [6114,]  2.605456e-01  2.605456e-01  0.4282551326  0.988105684
#>  [6115,] -1.603608e-01  4.400997e-01  0.2829067047  0.414809176
#>  [6116,]  1.958422e-01  3.454376e-01  0.7270640671  0.727064067
#>  [6117,]  3.984848e-01  6.579154e-01  0.6579154103  0.657915410
#>  [6118,]  3.962895e-01 -1.098020e-01  0.3962894644  0.583760283
#>  [6119,]  8.282693e-02  3.929979e-01  0.7485888156  0.844448550
#>  [6120,]  1.951483e-01  1.951483e-01  0.5779831344  0.756433587
#>  [6121,]  2.384923e-01  5.913431e-01  0.5913431446  0.749881762
#>  [6122,]  9.904577e-01  3.638571e-01  0.4124736239  0.990457736
#>  [6123,]  2.884306e-01  3.857361e-01  0.4797203039  0.843866024
#>  [6124,]  2.319976e-01  3.044335e-01  0.4963348959  1.038813556
#>  [6125,]  2.806614e-01  5.830006e-01  0.5094250079  0.509425008
#>  [6126,] -1.364835e-01  1.681136e-01  0.1959900476  0.779795700
#>  [6127,]  1.685356e-01  1.685356e-01  0.3678554765  0.456593089
#>  [6128,] -3.718160e-01  2.549153e-01  0.3430526988  0.254915289
#>  [6129,]  4.238948e-01  4.903387e-01  0.4536012845  0.490338710
#>  [6130,]  2.862866e-01  6.682919e-01  0.8228930362  0.668291882
#>  [6131,]  1.251984e-01  7.772716e-01  0.7772716027  0.777271603
#>  [6132,] -1.627807e-01  5.591191e-01  0.5591190976  0.748987800
#>  [6133,] -1.652160e-01  6.121634e-01  0.6823391217  0.814394243
#>  [6134,]  8.766991e-03  5.043643e-01  0.5025800704  0.502580070
#>  [6135,]  4.453975e-01  4.849944e-01  0.4453974736  0.518467305
#>  [6136,] -4.571341e-02  4.312354e-01  0.4312354071  0.431235407
#>  [6137,]  1.278590e-01  4.458027e-01  0.4458027433  0.445802743
#>  [6138,]  3.476722e-02  5.996256e-01  0.5996255820  0.599625582
#>  [6139,]  2.332088e-01  6.235241e-01  0.6235240511  0.623524051
#>  [6140,]  3.883615e-01  3.883615e-01  0.6183571736  0.747025453
#>  [6141,]  6.347746e-01  2.760098e-01  0.2760097716  0.276009772
#>  [6142,]  4.211607e-01  4.211607e-01  0.4211606761  0.407750570
#>  [6143,]  4.211266e-01  1.509330e-01  0.4211266276  0.421126628
#>  [6144,]  4.291203e-01  4.291203e-01  0.4291202619  0.429120262
#>  [6145,]  3.994445e-01  3.994445e-01  0.3994445258  0.399444526
#>  [6146,]  5.104731e-01  5.104731e-01  0.5308972163  0.510473115
#>  [6147,] -1.434391e-01  7.204497e-01  0.7204497091  0.421386864
#>  [6148,]  3.384552e-01  3.384552e-01  0.3384551696  0.338455170
#>  [6149,]  3.397909e-01  3.397909e-01  0.3397909003  0.339790900
#>  [6150,]  3.728799e-01  3.728799e-01  0.3728798864  0.668949173
#>  [6151,]  5.019220e-01  5.019220e-01  0.5019219703  0.956585878
#>  [6152,]  3.290762e-01  8.074078e-01  0.6416271770  0.329076213
#>  [6153,] -1.408917e-01  6.219961e-01  0.6219960636  0.621996064
#>  [6154,]  4.879825e-01  4.879825e-01  0.4879825273  0.487982527
#>  [6155,] -1.161484e-01  5.887855e-01  0.5887855281  0.845954641
#>  [6156,]  3.926257e-01  3.926257e-01  0.3926256732  0.392625673
#>  [6157,]  5.436341e-01  5.436341e-01  0.5436340776  0.543634078
#>  [6158,]  9.980528e-02  4.640249e-01  0.4640249121  0.632949023
#>  [6159,]  5.677306e-01  8.370471e-01  0.8370470723  0.837047072
#>  [6160,]  6.429960e-01  6.429960e-01  0.6429959675  0.771152457
#>  [6161,]  9.781294e-02  4.404078e-01  0.5751086230  0.575108623
#>  [6162,]  1.591788e-01  4.403644e-01  0.3023466095  0.477675641
#>  [6163,] -5.582644e-01  2.844951e-01  0.8079001198  0.807900120
#>  [6164,] -3.488506e-01  5.495435e-01  0.4783455976  0.478345598
#>  [6165,]  6.108616e-02  6.108616e-02  0.8193494273  0.164267145
#>  [6166,]  7.157955e-01  1.203472e-01  0.5749989786  0.715795540
#>  [6167,]  1.522618e-01  4.613432e-01  0.4613431771  0.300829707
#>  [6168,] -3.381990e-01  5.909405e-03  0.5157594396  0.478242507
#>  [6169,]  2.698302e-02  4.345693e-01  0.3950297743  0.394713618
#>  [6170,]  1.560961e-01  6.169820e-02  0.1560961079  0.447202338
#>  [6171,]  2.515809e-01  2.515809e-01  0.2515808640  0.251580864
#>  [6172,]  1.516292e-01  4.603663e-01  0.5630938382  0.460366266
#>  [6173,] -1.782180e-01  6.931022e-01  0.7413406161  0.318811926
#>  [6174,] -1.243010e-01  1.438763e-01  0.9195754459  0.919575446
#>  [6175,] -7.882612e-02  5.382394e-01  0.5382393771  0.538239377
#>  [6176,]  2.728619e-01  2.728619e-01  0.2728618767  0.272861877
#>  [6177,]  5.870779e-01  5.870779e-01  0.5870779300  0.587077930
#>  [6178,] -4.861990e-03  2.118608e-01  0.2118607823  1.138200074
#>  [6179,] -1.558656e-01  1.152065e+00  0.0846679209  0.599718797
#>  [6180,]  6.814737e-01  6.761341e-01  0.2934377856  0.293437786
#>  [6181,]  6.060946e-02  6.682247e-01  0.4822885432  0.668224720
#>  [6182,]  1.311318e-01  3.131430e-01  0.3131430120  0.775211810
#>  [6183,]  2.041299e-01  4.657075e-01  0.4657075186  0.417010861
#>  [6184,] -6.372695e-02  5.078555e-01  0.3900418866  0.642176105
#>  [6185,] -4.077141e-01  1.393539e-01  0.7472910452  0.747291045
#>  [6186,]  1.201509e-01  4.332932e-01  0.4309336223  0.120150880
#>  [6187,]  1.766614e-01  4.588602e-01  0.4588602050  0.790159834
#>  [6188,]  2.546762e-01  2.928353e-01  0.2928353023  0.636870457
#>  [6189,]  2.063852e-01  4.354730e-01  0.4354730032  0.435473003
#>  [6190,]  4.393817e-01  4.393817e-01  0.4393817385  0.439381739
#>  [6191,]  2.711119e-01  5.313877e-01  0.5313876555  0.531387655
#>  [6192,]  1.499186e-01  5.317982e-01  0.5317981738  0.531798174
#>  [6193,]  5.092588e-01  5.349791e-01  0.5349791008  0.834073361
#>  [6194,] -2.462008e-01  5.970316e-01  0.2375040816  0.795497776
#>  [6195,]  8.406106e-02  8.406106e-02  0.2820476162  0.887448435
#>  [6196,]  4.378241e-01  1.052917e+00  0.8312211838  0.831221184
#>  [6197,]  2.500974e-01  2.500974e-01  0.2500974448  0.654748641
#>  [6198,]  2.430005e-01  2.430005e-01  0.2430005098  0.928489984
#>  [6199,] -9.959389e-02  7.373281e-01  0.7373280569  0.737328057
#>  [6200,]  1.650839e-01  7.172302e-01  0.6042449993  0.717230166
#>  [6201,]  1.296465e-01  5.017281e-01  0.5756171667  0.575617167
#>  [6202,]  3.398501e-01  1.497162e-01  0.0288465070  1.054503597
#>  [6203,]  1.614230e-01  3.934283e-01  0.4092454958  0.894429885
#>  [6204,]  4.492959e-01  4.492959e-01  0.4492959404  0.449295940
#>  [6205,]  4.180938e-01  4.180938e-01  0.4180938461  0.418093846
#>  [6206,]  7.782379e-01  7.782379e-01  0.7782378961  0.778237896
#>  [6207,]  3.994261e-01  3.994261e-01  0.3994261245  0.892541528
#>  [6208,]  4.959084e-01  4.959084e-01  0.6015875144  0.495908356
#>  [6209,]  4.105543e-01  4.105543e-01  0.5730370172  0.716650785
#>  [6210,]  4.958776e-01  4.958776e-01  0.7508336349  0.495877559
#>  [6211,]  3.577258e-01  7.967932e-01  0.5540616955  0.554061695
#>  [6212,]  2.987624e-01  6.810560e-01  0.6863007556  0.686300756
#>  [6213,]  2.385752e-01  7.323895e-01  0.7323895293  0.732389529
#>  [6214,]  1.489517e-01 -1.969431e-01  0.4903786320  0.910724518
#>  [6215,]  1.472631e-01  7.608690e-01  0.2417409860  0.760868972
#>  [6216,]  1.812567e-01  1.728266e-01  0.8310904938  0.831090494
#>  [6217,]  1.119496e-02  7.711620e-01  0.3118896888  0.771161977
#>  [6218,]  3.064844e-01  6.502053e-01  0.2901198852  0.638195902
#>  [6219,]  9.379996e-02  6.885601e-01  0.4021160309  0.402116031
#>  [6220,] -1.405476e-01  7.350271e-01  0.0573194237  0.735027092
#>  [6221,]  4.416964e-01  2.857807e-01  0.4416964339  0.441696434
#>  [6222,] -1.013475e-01  3.391128e-01  0.4951383814  0.690567291
#>  [6223,]  6.052069e-01  5.460236e-01  0.7024218924  0.605206927
#>  [6224,]  2.391839e-01  2.956611e-01  0.3509836760  0.717223858
#>  [6225,]  4.952889e-01  5.366845e-01  0.5366844871  0.234533106
#>  [6226,]  4.919288e-01  5.627934e-01  0.5145342322  0.491928790
#>  [6227,]  7.680683e-02  2.773040e-01  0.0768068295  0.076806829
#>  [6228,]  7.364088e-01  7.364088e-01  0.7349760376  0.148381114
#>  [6229,]  3.701430e-01  6.815866e-01  0.6815866169  0.681586617
#>  [6230,]  2.557454e-01  7.531356e-01  0.5251798588  0.753135632
#>  [6231,]  2.308174e-02  5.920963e-01  0.6284957174  0.900194122
#>  [6232,]  5.958432e-02  4.226465e-01  0.6376008962  0.637600896
#>  [6233,]  2.968697e-01  7.168674e-01  0.7168673932  0.716867393
#>  [6234,]  3.293921e-01  2.387115e-01  0.6914409612  0.691440961
#>  [6235,]  2.029406e-01  2.397119e-01  0.2397119066  0.239711907
#>  [6236,]  5.205464e-01  5.205464e-01  0.5205464326  1.000913966
#>  [6237,]  5.327515e-01  5.327515e-01  0.5327515282  0.532751528
#>  [6238,]  4.533703e-01  4.533703e-01  0.4533703121  0.453370312
#>  [6239,]  5.703648e-01  2.862995e-01  0.3028302152  0.302830215
#>  [6240,]  5.010419e-01  5.010419e-01  0.5010419394  0.033143812
#>  [6241,]  2.454222e-01  2.454222e-01  0.2454222187  0.742451507
#>  [6242,]  4.639212e-01  2.281375e-01  0.4639211640  0.808159109
#>  [6243,]  8.215165e-02  3.674302e-01  0.3674301973  0.727497410
#>  [6244,] -1.584304e-02  5.155458e-01  0.5155458096  0.515545810
#>  [6245,]  3.588161e-02  3.588161e-02  0.4312395168  0.431239517
#>  [6246,]  2.958322e-01  2.151715e-01  0.2151714767  0.505802275
#>  [6247,]  4.420085e-01  1.841494e-02  0.4420084942  0.442008494
#>  [6248,]  5.854387e-01  5.854387e-01  0.5854386886  0.585438689
#>  [6249,]  6.297687e-01  6.297687e-01  0.6297686978  0.629768698
#>  [6250,]  5.458645e-01  5.458645e-01  0.5458644683  0.545864468
#>  [6251,]  4.804157e-01  4.804157e-01  0.4804156951  0.480415695
#>  [6252,]  6.521757e-01  6.521757e-01  0.6521756670  0.652175667
#>  [6253,]  6.215910e-01  6.215910e-01  0.6215909635  0.621590964
#>  [6254,]  4.143965e-01  7.870218e-01  0.7870217928  0.787021793
#>  [6255,] -2.240624e-01  3.037288e-01  0.3037287889  0.251812957
#>  [6256,]  1.333554e-01  4.765939e-01  0.1137240751  0.356376158
#>  [6257,]  8.840918e-02  7.281336e-01  0.5312938515  0.683290463
#>  [6258,]  5.488979e-01  7.187199e-01  0.6262708588  0.718719933
#>  [6259,]  7.863084e-02  4.722786e-01  0.9988700476  0.657430039
#>  [6260,]  2.229480e-01  2.229480e-01  0.4066085380  0.734682234
#>  [6261,]  4.845018e-01  1.597117e-01  0.7284586884  0.776344896
#>  [6262,]  4.714284e-01  6.291969e-01  0.9077272867  0.308395277
#>  [6263,] -1.097378e-01  7.743721e-01 -0.1097378238  0.602435719
#>  [6264,]  3.313517e-01  5.651429e-01  0.5502466671  0.550246667
#>  [6265,]  2.163376e-01  9.177251e-01  0.8862100908  0.886210091
#>  [6266,]  1.410463e-01  5.367355e-01  0.5367354602  1.102202010
#>  [6267,]  6.904005e-02  3.403996e-01  0.7349581058  0.340399642
#>  [6268,]  3.303981e-01  8.641102e-01  0.5782291836  0.760239618
#>  [6269,]  3.144549e-01  3.144549e-01  0.6145024387  0.870355759
#>  [6270,]  3.717336e-01  6.781596e-01  0.4985116162  0.678159581
#>  [6271,]  5.089582e-01  5.089582e-01  0.4964325265  0.508958163
#>  [6272,]  3.271205e-01  3.271205e-01  0.3413569315  1.012255159
#>  [6273,]  2.923288e-01  4.719831e-01  0.2923287726  0.292328773
#>  [6274,]  1.886248e-01  4.909543e-01  0.4909543168  0.490954317
#>  [6275,]  2.751909e-01  2.751909e-01  0.4000740156  0.275190876
#>  [6276,]  2.132961e-01  2.132961e-01  0.2132960979  0.698627184
#>  [6277,]  2.179800e-01  7.963384e-01  0.2746625515  0.796338443
#>  [6278,]  4.284978e-01  3.906996e-01  0.4541995517  0.619698366
#>  [6279,]  2.710120e-01  2.710120e-01  0.2421085528  0.975552614
#>  [6280,]  3.101024e-01  3.521651e-01  0.6768271259  0.580141553
#>  [6281,]  3.979291e-01  3.979291e-01  0.5887343595  0.397929074
#>  [6282,]  2.788947e-01  5.266490e-01  0.5266490088  0.526649009
#>  [6283,]  7.122449e-01  7.122449e-01  0.7122448504  0.712244850
#>  [6284,]  2.911935e-01  4.833303e-01  0.2911934708  0.723766913
#>  [6285,] -1.706802e-01  4.699716e-01  0.4699716355  0.469971636
#>  [6286,]  2.200164e-01  2.200164e-01  0.2200163741  0.552643430
#>  [6287,] -9.416828e-02  2.543122e-01  0.4479732557  0.790840676
#>  [6288,] -2.042236e-01  2.105867e-01  0.0230343016  0.417510847
#>  [6289,]  5.842336e-01  5.619796e-01  0.3589548443  0.584233616
#>  [6290,]  2.193730e-01  6.249620e-01  0.6249619653  0.908719949
#>  [6291,]  3.042769e-01  5.010401e-01  0.3042769485  0.304276949
#>  [6292,]  2.832190e-01  6.593956e-01  0.2832189739  0.659395583
#>  [6293,]  4.502519e-01  4.502519e-01  0.4502518607  0.542278394
#>  [6294,]  2.819962e-01  3.682762e-01  0.3622663365  0.709717532
#>  [6295,]  2.780919e-01  4.291922e-01  0.5138766542  0.596207284
#>  [6296,] -9.862603e-02  5.438757e-01  0.5438756695  0.744898983
#>  [6297,]  3.178306e-01  5.990314e-01  0.4431926920  0.669387270
#>  [6298,]  6.212389e-02  5.153559e-01  0.5153558715  0.515355871
#>  [6299,]  2.625810e-01  2.625810e-01  0.2625810193  0.637614703
#>  [6300,]  3.750896e-01  1.104128e-01  0.8209240276  0.820924028
#>  [6301,]  6.075812e-01 -1.864933e-01  0.6075811771  0.607581177
#>  [6302,]  4.759534e-01  3.642199e-01  0.4759533645  0.845761098
#>  [6303,] -2.156877e-01  4.757583e-01  0.4718239577  1.232272715
#>  [6304,]  6.739760e-02  5.849211e-01  0.6853577791  0.584921120
#>  [6305,]  6.559908e-02  4.402341e-01  0.4402341401  0.441691832
#>  [6306,] -8.758563e-02  5.577164e-01  0.5577163835  0.369836006
#>  [6307,]  1.927882e-01  1.215193e-01  0.2216334785  0.221633478
#>  [6308,]  4.157017e-01  4.157017e-01  0.4157016684  1.169986170
#>  [6309,]  3.063882e-01  3.063882e-01  0.3063881651  0.306388165
#>  [6310,]  1.319574e-01  5.847258e-01  0.1319574320  0.131957432
#>  [6311,] -2.995890e-02  5.508264e-01  0.5508264365  0.550826437
#>  [6312,]  1.482307e-01  4.642856e-01  0.4949060240  0.667208464
#>  [6313,]  1.244512e-01  7.101716e-01  0.7101716076  0.710171608
#>  [6314,] -4.067150e-01  2.613204e-02  0.3804996288  0.380499629
#>  [6315,]  7.502342e-03  6.603840e-01  0.6603840353  0.660384035
#>  [6316,]  1.926978e-01  6.636261e-01  0.5259147793  0.918917043
#>  [6317,] -6.161864e-02  5.039731e-01  0.5039731423  0.772642711
#>  [6318,] -2.604305e-01  7.084382e-01  0.6391752668  0.775068569
#>  [6319,]  5.888065e-02  5.123715e-01  0.5123714779  0.711160416
#>  [6320,] -1.422164e-01  5.529777e-01  0.3887438208  0.552977726
#>  [6321,]  1.732339e-01  4.550333e-01  0.8034055659  0.622508906
#>  [6322,]  4.909045e-01  5.351816e-01  0.8461361629  0.622300223
#>  [6323,]  1.466837e-01  7.627359e-01  0.7627359311  0.762735931
#>  [6324,]  2.625633e-01 -6.792017e-02  0.5355766946  0.748354830
#>  [6325,]  9.926187e-02  5.103119e-01  0.0992618690  0.850615153
#>  [6326,] -3.829634e-01  9.096009e-02  0.6216951189  0.437288612
#>  [6327,]  3.010996e-01  8.564783e-01  0.6934591503  0.592091304
#>  [6328,]  3.716912e-01  3.716912e-01  0.4929107042  0.456638719
#>  [6329,]  4.008429e-01  7.433955e-01  0.2924752673  0.411453527
#>  [6330,]  3.135905e-01  5.243768e-01  0.2853753738  0.609774134
#>  [6331,] -7.142005e-02  7.985596e-01  0.3700490696  0.798559601
#>  [6332,]  4.718323e-01  6.901947e-01  0.2389184335  0.918968940
#>  [6333,]  2.170313e-01  6.283158e-01  0.6997080385  0.699708039
#>  [6334,]  4.951484e-01  5.898944e-01  0.4951484439  0.495148444
#>  [6335,] -4.392600e-03  4.875660e-01  0.4875660350  0.705622023
#>  [6336,]  4.129942e-01  6.050268e-01  0.5285152807  0.605026830
#>  [6337,]  4.707087e-01  5.368753e-01  0.6917019727  0.691701973
#>  [6338,]  3.753557e-01  7.740187e-01  0.7200350626  0.774018740
#>  [6339,]  5.079507e-01  5.079507e-01  0.7090828609  0.507950744
#>  [6340,]  5.213945e-01  5.213945e-01  0.5213945122  0.521394512
#>  [6341,]  5.563570e-01  5.563570e-01  0.5563570186  0.999568287
#>  [6342,]  5.603860e-01  5.603860e-01  0.8956491724  0.560386040
#>  [6343,]  5.012269e-01  1.687792e-01  0.5012269493  0.501226949
#>  [6344,]  6.452305e-02  3.998085e-01  0.3998085470  0.399808547
#>  [6345,]  4.600790e-01  4.600790e-01  0.4600789927  0.460078993
#>  [6346,]  6.348053e-01  6.348053e-01  0.6348052572  0.634805257
#>  [6347,]  5.644487e-01  5.644487e-01  0.5644487357  0.564448736
#>  [6348,]  4.493510e-01  4.493510e-01  0.4493510343  0.449351034
#>  [6349,]  4.377803e-01  5.690719e-01  0.5690718955  0.569071895
#>  [6350,]  4.426980e-01  4.426980e-01  0.4426980314  0.442698031
#>  [6351,]  3.995643e-01  3.995643e-01  0.3995642807  0.399564281
#>  [6352,]  5.500986e-01  5.500986e-01  0.5500986280  0.550098628
#>  [6353,]  5.332626e-01  5.332626e-01  0.5332626111  0.533262611
#>  [6354,]  5.728689e-01  5.728689e-01  0.5728689195  0.572868919
#>  [6355,]  7.000714e-01  7.000714e-01  0.7000713911  0.700071391
#>  [6356,]  2.423250e-01  2.423250e-01  0.4553284218  0.455328422
#>  [6357,]  3.440873e-02  4.999756e-01  0.4999756243  0.499975624
#>  [6358,]  1.615486e-01  7.024767e-01  0.7024767073  0.702476707
#>  [6359,]  2.029542e-01  5.999114e-01  0.2029542196  0.599911368
#>  [6360,] -2.328942e-01  7.545183e-01  0.7545182540  0.754518254
#>  [6361,]  5.369901e-01  6.839573e-01  0.5369900817  0.683957306
#>  [6362,]  2.663615e-01  5.942026e-01  0.5942026053  0.769730805
#>  [6363,]  2.444776e-01  7.822988e-01  0.7822988014  0.782298801
#>  [6364,]  1.361667e-01  6.589608e-01  0.6589607878  0.658960788
#>  [6365,]  3.771498e-01  4.064135e-01  0.1505907800  0.167523547
#>  [6366,]  5.537040e-01  4.248126e-01 -0.0246882557  0.553704005
#>  [6367,]  2.783375e-01  3.628463e-01  0.5012009821  0.365375363
#>  [6368,]  1.937588e-01  3.829384e-01  0.3829384019  0.382938402
#>  [6369,]  4.902073e-01  4.902073e-01  0.4902072805  0.490207281
#>  [6370,]  4.411413e-01  4.411413e-01  0.4411412562  0.441141256
#>  [6371,] -3.637963e-01  7.630501e-01  0.7630501415  0.763050141
#>  [6372,]  9.696504e-02  9.696504e-02  0.7141058937  0.714105894
#>  [6373,]  3.502757e-01  2.920321e-01  0.2920321090  0.292032109
#>  [6374,]  4.275932e-01  4.275932e-01  0.4275931764  0.885782245
#>  [6375,]  2.760861e-01  2.760861e-01  0.2760861339  0.276086134
#>  [6376,]  4.456815e-01  4.456815e-01  0.4456815050  0.445681505
#>  [6377,]  4.079892e-01  6.743505e-01  0.4079892307  0.674350514
#>  [6378,]  6.382396e-01  6.382396e-01  0.6382395729  0.638239573
#>  [6379,]  5.397828e-01  5.397828e-01  0.5397828047  0.539782805
#>  [6380,]  3.756088e-01 -7.660012e-02  0.3756088388  0.375608839
#>  [6381,] -1.840824e-01  4.143860e-01  0.4143859619  0.414385962
#>  [6382,]  6.227467e-01  6.227467e-01  0.6605792842  0.622746746
#>  [6383,]  3.780481e-01  3.780481e-01  0.3780480958  0.378048096
#>  [6384,]  5.864518e-01  5.864518e-01  0.5864517794  0.586451779
#>  [6385,]  4.151999e-01  4.151999e-01  0.4151999387  0.415199939
#>  [6386,]  2.509515e-01  2.509515e-01  0.2509515008  0.250951501
#>  [6387,]  1.964769e-01  1.964769e-01  0.1964769114  0.526312688
#>  [6388,]  1.040263e-01  5.064714e-02  0.6304079831  0.547266745
#>  [6389,]  3.810487e-01  4.902573e-01  0.9788111298  0.978811130
#>  [6390,]  2.475247e-01  1.379685e-01  0.6207619627  1.095154470
#>  [6391,]  6.780211e-02  2.909804e-01  0.8893558796  0.965557835
#>  [6392,] -1.625125e-01  9.161390e-01  0.3298561730  0.791968107
#>  [6393,]  5.068738e-01  6.337594e-01  0.4020820020  0.633759382
#>  [6394,]  5.172467e-01  5.412012e-01  0.2778284717  0.580553865
#>  [6395,]  1.116754e-01  2.476987e-01  0.3930072853  0.111675393
#>  [6396,]  4.517595e-01  6.783969e-01  0.0153774613  0.598899923
#>  [6397,]  5.311662e-01  2.687334e-01  0.3641731678  0.531166207
#>  [6398,]  3.449783e-01  9.790175e-01  0.3449783304  0.802265697
#>  [6399,]  4.106416e-01  9.670868e-01  0.2759074758  0.985973563
#>  [6400,]  3.670390e-01  5.315593e-01  0.1978467544  0.197846754
#>  [6401,] -2.297191e-02  6.420838e-01  0.6696148252  0.191240227
#>  [6402,] -2.124116e-01  6.788637e-01 -0.1165583116  1.184075902
#>  [6403,]  1.505507e-01  7.012324e-01  0.4511687487  0.150550725
#>  [6404,]  4.503552e-01  5.122536e-01  0.4503552206  0.450355221
#>  [6405,]  4.064292e-01  4.064292e-01  0.2992408309  0.299240831
#>  [6406,]  3.145442e-01  3.145442e-01  0.3145441579  0.314544158
#>  [6407,]  2.487699e-01  2.487699e-01  0.5484277901  0.683705828
#>  [6408,] -1.952890e-01  6.749221e-01  0.1851422997  0.203021611
#>  [6409,]  1.675298e-01  3.371163e-01  0.6312484372  0.681048480
#>  [6410,]  3.859893e-01  6.213405e-01  0.6505944292  0.650594429
#>  [6411,]  1.332501e-01  6.325572e-01  0.6325571742  0.632557174
#>  [6412,]  3.581230e-01  3.581230e-01  0.6917373294  0.691737329
#>  [6413,] -1.660143e-01  1.465717e-01  0.5500219431  0.550021943
#>  [6414,] -1.077380e-01  6.762679e-01  0.6762679206  0.676267921
#>  [6415,]  2.595448e-01  6.578251e-01  0.6578250853  0.657825085
#>  [6416,]  3.051844e-01  3.051844e-01  0.6467516216  0.646751622
#>  [6417,] -3.244428e-01  7.114800e-01  0.7114799699  0.711479970
#>  [6418,]  4.008374e-01  6.985444e-01  0.4008374382  0.400837438
#>  [6419,]  3.329636e-01  6.103648e-01  0.5918232613  0.610364753
#>  [6420,]  5.093756e-01  5.093756e-01  0.5093755743  0.509375574
#>  [6421,]  2.491311e-01  2.491311e-01  0.2491311354  0.249131135
#>  [6422,]  1.099881e-01  1.099881e-01  0.5670677916  0.567067792
#>  [6423,]  4.018714e-01  4.964904e-01  0.4018713553  0.598581741
#>  [6424,] -8.851770e-02  5.808813e-01  0.8325752311  0.832575231
#>  [6425,] -1.524677e-02  6.199922e-01  0.6199921623  1.143014538
#>  [6426,]  2.454405e-01  4.489305e-01  0.4489304626  0.245440544
#>  [6427,] -2.521263e-01  4.449194e-01  0.2267829480  0.483470658
#>  [6428,]  2.522293e-01  8.431127e-01  0.3955646707  0.843112694
#>  [6429,]  1.806506e-01  1.806506e-01  0.3836936718  0.520144144
#>  [6430,]  2.756461e-02  6.097258e-01  0.6097257982  0.577269873
#>  [6431,]  2.948808e-01  7.505269e-01  0.6321880713  0.632188071
#>  [6432,]  1.788027e-01  5.924579e-01  0.5924578800  0.592457880
#>  [6433,]  4.715442e-01  4.715442e-01  0.7156439783  0.608414356
#>  [6434,]  6.339355e-01  6.692431e-01  0.6339355163  0.805576250
#>  [6435,]  5.752660e-02  4.274797e-01  0.7497633740  0.427479672
#>  [6436,]  9.583706e-02  3.293636e-01  0.6889680490  0.688968049
#>  [6437,]  4.220408e-01  3.921562e-01  0.5452258902  0.708201844
#>  [6438,] -8.495139e-02  1.003542e+00  0.2739692101  1.121421159
#>  [6439,] -1.173178e-01  5.722802e-01  0.4033356118  0.668632416
#>  [6440,] -7.284810e-02  5.821044e-01  0.5821044397  0.606508714
#>  [6441,] -2.495314e-01  4.131158e-01  0.4161348997  0.885666480
#>  [6442,]  1.818119e-01  5.123116e-01  0.3402281769  0.771515946
#>  [6443,]  2.200820e-02  3.015845e-01  0.2550021543  0.804655790
#>  [6444,]  6.581841e-03  5.996267e-01  0.5996267448  0.958794145
#>  [6445,] -1.164367e-01  4.366383e-01  0.4942288832  0.675045197
#>  [6446,]  3.270310e-01  5.587313e-01  0.5587313021  0.570917938
#>  [6447,]  2.598035e-01  7.139466e-01 -0.1242097968  0.713946621
#>  [6448,]  1.758842e-01  1.758842e-01  0.2259582149  0.175884228
#>  [6449,]  4.067163e-01  4.067163e-01  0.3076187111  0.631545891
#>  [6450,] -7.979110e-02  7.000335e-01 -0.2153384887  0.448029858
#>  [6451,] -1.551595e-01  5.776244e-01  0.8305869750  0.979552496
#>  [6452,]  5.257097e-02  4.633715e-01  0.7461825887  0.557286767
#>  [6453,]  6.275593e-01  6.275593e-01  0.7847597489  0.627559306
#>  [6454,] -2.967373e-01  6.549714e-01  0.1935791417  0.654971376
#>  [6455,] -1.789126e-02  3.845474e-01  0.2355058871  0.829424436
#>  [6456,]  1.172830e-01  8.708566e-02  0.5954939048  0.808707127
#>  [6457,] -1.670605e-02  6.631829e-01  0.3762742856  0.608708274
#>  [6458,]  1.939097e-01  5.113698e-01  0.4764696872  0.486326377
#>  [6459,]  6.815184e-02  5.434256e-01  0.6629274748  0.662927475
#>  [6460,]  1.977242e-01  8.132387e-01  0.8132386938  0.635719219
#>  [6461,]  6.706931e-01  6.706931e-01  0.5385101297  0.557667652
#>  [6462,]  5.673412e-01  7.650130e-01  0.5075116968  0.427603251
#>  [6463,]  2.180202e-01  2.957231e-01  0.6174814212  0.617481421
#>  [6464,]  3.490280e-01  5.574190e-01  0.7596961225  0.759696123
#>  [6465,]  3.473824e-01  6.309489e-01  0.6309488522  0.804031697
#>  [6466,]  5.951919e-02  7.447043e-01  0.2183223853  0.878078711
#>  [6467,]  4.141347e-01  7.632377e-01  0.6300032467  0.929857827
#>  [6468,]  2.015824e-01  4.887024e-01  0.4887023978  0.812724636
#>  [6469,]  4.930877e-01  4.930877e-01  0.4909995390  0.490999539
#>  [6470,] -8.374278e-02  3.992253e-01  0.3992253089  0.399225309
#>  [6471,]  3.413821e-01  2.995173e-01  0.5330698597  0.533069860
#>  [6472,]  2.577747e-01  4.370276e-01  0.4370276479  0.337635382
#>  [6473,]  2.426345e-01  6.844379e-01  0.2426345271  0.869548194
#>  [6474,]  5.834878e-01  2.076293e-01  0.4467664696  0.446766470
#>  [6475,]  3.899567e-01  3.899567e-01  0.3899567476  0.389956748
#>  [6476,]  3.796719e-01  3.796719e-01  0.3796719244  0.379671924
#>  [6477,]  5.814341e-01  5.814341e-01  0.5814340846  0.581434085
#>  [6478,] -2.094352e-01  5.323276e-01 -0.2094352411  0.532327593
#>  [6479,]  2.614207e-01  6.512810e-01  0.6512809578  0.651280958
#>  [6480,] -1.939444e-01  3.808847e-01  0.3808846862  0.712209313
#>  [6481,] -8.816770e-03  5.569072e-01  0.4234361579  0.794954556
#>  [6482,]  2.500395e-01  9.642289e-01  0.2321389903  0.844002439
#>  [6483,] -2.294243e-01  7.188379e-01  0.6125964911  0.718837926
#>  [6484,] -1.405208e-01  5.138869e-01  0.6359373467  0.635937347
#>  [6485,] -1.228116e-01  4.811899e-01  0.4811899145  0.745022978
#>  [6486,] -9.034828e-02  4.547023e-01  0.4849806028  0.788738998
#>  [6487,] -9.140939e-02  4.123741e-01  0.7588381363  0.696916906
#>  [6488,]  6.396072e-02  4.805373e-01  0.4805373401  0.546227021
#>  [6489,]  3.331857e-01  4.216583e-01  0.8034096590  1.014143938
#>  [6490,]  4.950686e-01  4.950686e-01  0.4950685720  0.495068572
#>  [6491,]  2.648209e-01  3.780308e-01  0.7015415748  0.701541575
#>  [6492,]  3.946134e-01  3.946134e-01  0.3946133872  0.394613387
#>  [6493,]  3.152303e-01  3.152303e-01  0.1628772461  0.315230337
#>  [6494,]  1.917168e-01 -2.712054e-02  0.1917168021  0.534445969
#>  [6495,]  1.862760e-01  5.579977e-01  0.5579976582  0.557997658
#>  [6496,]  1.838465e-01  3.409663e-01  0.1838465195  0.452416057
#>  [6497,]  5.054084e-01  5.054084e-01  0.5054084343  0.469831325
#>  [6498,]  1.070656e-02  6.655253e-01  0.3671856044  0.665525268
#>  [6499,]  3.807499e-02  3.942335e-01  0.5013445974  0.913289521
#>  [6500,] -1.314306e-02  3.920746e-01  0.6027724002  0.549253626
#>  [6501,]  5.260634e-01  5.260634e-01  0.5260634028  0.532971576
#>  [6502,]  7.258161e-01  3.589118e-01  0.3589117732  0.725816141
#>  [6503,]  2.890749e-01  8.063570e-01  0.8063570139  0.806357014
#>  [6504,]  5.288201e-01  5.288201e-01 -0.1584972094  0.528820123
#>  [6505,]  7.432660e-01  1.282618e-01  0.7432660372  0.743266037
#>  [6506,]  3.628978e-01  8.058812e-01  0.5159297687  0.362897770
#>  [6507,]  5.206608e-01  5.068494e-01  0.5206607814  0.520660781
#>  [6508,]  7.098450e-01  7.098450e-01  1.0157758199  0.709844992
#>  [6509,]  6.877911e-01  6.877911e-01  0.6877911233  0.687791123
#>  [6510,] -3.027643e-02  7.026589e-01  0.1862993632  0.702658866
#>  [6511,] -6.367730e-02  5.939535e-01  0.5939535025  0.593953502
#>  [6512,]  4.736616e-02  5.605543e-01  0.3214133719  0.560554325
#>  [6513,]  3.557837e-01  2.850339e-01  0.4132038457  0.643006176
#>  [6514,]  4.303415e-01  4.408796e-01  0.5177659494  0.929668485
#>  [6515,]  4.110094e-01  4.110094e-01  0.4110093935  0.864718274
#>  [6516,]  3.995938e-01  3.995938e-01  0.8288699959  0.828869996
#>  [6517,]  1.185808e-01  1.185808e-01  0.8726516578  0.664891025
#>  [6518,]  3.125823e-01  2.785914e-01  0.6780941772  0.874425878
#>  [6519,] -1.678710e-01  3.370054e-01  0.3370054222  0.937916145
#>  [6520,]  3.078201e-02  5.950747e-01  0.5950746515  0.656763368
#>  [6521,]  4.345183e-01  4.345183e-01  0.6043849852  0.434518315
#>  [6522,] -3.823500e-02 -3.823500e-02  0.3547259850  0.753593922
#>  [6523,] -1.393467e-01  6.774701e-01  0.5817559141  0.694525075
#>  [6524,]  4.214224e-01  4.828897e-01  0.4867948596  0.421422378
#>  [6525,]  3.207161e-01  4.792906e-01  0.2883167251  0.718120844
#>  [6526,]  3.285142e-01  6.641546e-01 -0.0226562212  0.664154639
#>  [6527,]  1.303232e-01  3.479105e-01  0.3479104818  0.797081971
#>  [6528,]  7.233458e-01  5.588719e-01  0.5588719032  1.350693795
#>  [6529,]  6.106525e-01  6.106525e-01  0.6106525419  0.610652542
#>  [6530,]  4.583379e-01  4.583379e-01  0.4583379018  0.978985994
#>  [6531,]  3.341241e-01  5.815672e-01  0.5815672414  0.695083992
#>  [6532,]  5.300981e-01  7.635713e-02  0.5300980721  0.718544822
#>  [6533,]  3.456089e-01  4.862824e-01  0.6262832281  0.626283228
#>  [6534,]  4.130362e-01  4.130362e-01  0.4130362046  0.723713282
#>  [6535,]  3.524912e-01  3.524912e-01  0.3524911670  0.509233825
#>  [6536,]  1.661438e-01  6.499791e-01  0.6499790894  1.022288864
#>  [6537,] -1.105227e-01  1.992804e-01  0.1992804067  0.986595478
#>  [6538,]  5.108021e-01  5.108021e-01  0.5108021213  0.729513368
#>  [6539,]  1.585213e-01  6.301889e-01  0.8810333249  0.881033325
#>  [6540,]  5.254265e-01  2.095209e-01  0.5254265415  0.864529292
#>  [6541,]  2.703131e-01 -5.296636e-02  0.4077759224  0.270313093
#>  [6542,]  2.530779e-01  4.855371e-01  0.2530779099  0.973504850
#>  [6543,]  1.712085e-01  5.792026e-01  0.5792025734  0.405541654
#>  [6544,]  2.852478e-01  4.987825e-01  0.3619400054  0.361940005
#>  [6545,]  2.442465e-01  2.333029e-01  0.2333028936  0.233302894
#>  [6546,]  4.531419e-01  3.243146e-01  0.3243146312  0.324314631
#>  [6547,]  5.159889e-01  5.159889e-01  0.5159889402  0.515988940
#>  [6548,]  4.641190e-01  4.641190e-01  0.4641190007  0.462344540
#>  [6549,]  3.458768e-01  1.534540e-01  0.6553741703  0.655374170
#>  [6550,]  7.056806e-02  4.015536e-01  0.1920884882  0.517883799
#>  [6551,]  8.353582e-03  8.353582e-03  0.0083535821  0.742683846
#>  [6552,]  4.480303e-01  7.246407e-01  0.5957859258  0.804080308
#>  [6553,] -1.628092e-01  6.276507e-01  0.6117780926  0.627650709
#>  [6554,]  3.309257e-01  3.309257e-01  0.3309257061  0.330925706
#>  [6555,]  1.809796e-01  1.809796e-01  0.1809796372  0.650808320
#>  [6556,]  1.603209e-01  5.707878e-01  0.7079347943  0.516580442
#>  [6557,]  4.446712e-01  8.737705e-01  0.0986133739  0.873770548
#>  [6558,]  4.180338e-01  4.180338e-01  0.4180338079  1.037101547
#>  [6559,]  3.914298e-01  2.473989e-01  0.4104627508  1.072573641
#>  [6560,] -8.526817e-02  5.068167e-01  0.4918359059  0.911511501
#>  [6561,] -1.672426e-01  5.105816e-01  0.6061639111  0.606163911
#>  [6562,] -2.337929e-01  4.254764e-01  0.4254764052  0.425476405
#>  [6563,] -2.068798e-02 -4.395139e-03  0.3728443898  0.372844390
#>  [6564,]  4.610632e-02  6.466247e-01  0.6466247172  0.621943884
#>  [6565,]  3.039595e-01  5.013465e-01  0.7288149481  0.555083978
#>  [6566,]  2.378273e-01  9.592072e-01  0.7202547535  1.035032650
#>  [6567,]  1.950821e-01  1.950821e-01  0.6632313252  0.769958441
#>  [6568,]  1.121955e-01  3.214353e-01  1.0055563735  0.342404615
#>  [6569,]  3.171607e-01  4.063505e-01  0.5730671204  0.317160692
#>  [6570,]  4.485051e-01  3.855281e-01  0.5699241779  0.385528057
#>  [6571,]  2.767136e-01  6.585274e-01  0.7263311771  0.726331177
#>  [6572,]  6.197567e-02  4.376497e-01  0.5549309430  0.519071740
#>  [6573,]  5.175874e-01  6.059926e-01  0.6059925693  0.587242320
#>  [6574,]  6.465729e-01  3.624199e-01  0.3624198500  0.646572867
#>  [6575,]  6.835010e-01  4.179315e-02  0.6835009924  0.683500992
#>  [6576,]  1.864189e-01  1.864189e-01  0.6939842140  0.593108293
#>  [6577,]  1.376567e-01  5.404601e-01  0.7190658885  0.719065888
#>  [6578,]  1.433790e-01  4.480054e-01  0.3532538777  0.604937105
#>  [6579,]  3.613135e-01  4.645012e-01  0.7392680213  0.805335559
#>  [6580,]  3.610108e-01  3.610108e-01  0.4279988976  0.743250029
#>  [6581,]  2.974927e-01  2.974927e-01  0.4852977610  0.822362298
#>  [6582,]  4.620172e-01  4.131339e-01  0.4620171784  0.824018661
#>  [6583,]  3.574599e-01  5.077330e-01  0.3853968500  1.136865009
#>  [6584,]  2.317166e-01  3.633827e-01  0.3916939891  0.885313597
#>  [6585,]  2.207261e-01  4.676659e-01  0.4676658758  0.760161332
#>  [6586,]  1.533024e-01  6.719989e-01  0.6719988686  0.721279309
#>  [6587,]  1.362344e-02  6.053158e-01  0.6332179470  1.182398922
#>  [6588,] -4.530031e-03  4.136652e-01  0.5834711588  0.583471159
#>  [6589,]  7.029936e-01  7.029936e-01  0.7029935697  0.702993570
#>  [6590,] -2.258428e-01  6.064091e-01  0.6064091400  0.737775568
#>  [6591,]  3.363098e-01  3.955063e-01  0.7637321092  0.326013264
#>  [6592,]  2.741650e-01  2.741650e-01  0.5306684942  0.530668494
#>  [6593,]  6.599628e-01  6.599628e-01  0.6599627548  0.659962755
#>  [6594,] -6.688768e-02  4.288320e-01  0.4288319829  0.428831983
#>  [6595,] -8.055096e-02  2.030795e-01  0.2030795360  0.790609686
#>  [6596,] -1.987147e-01  5.306482e-01  0.5306481603  0.628657562
#>  [6597,]  3.460805e-02  2.816243e-01  0.2816243096  0.753377488
#>  [6598,]  2.933522e-01  2.933522e-01  0.2933521754  0.776964951
#>  [6599,]  9.975807e-02  7.811987e-01  0.4799438340  0.781198680
#>  [6600,]  1.275690e-01  7.093685e-01  0.3205730830  0.945316569
#>  [6601,]  5.425069e-01  7.004663e-01  0.6702585619  0.542506900
#>  [6602,]  2.635158e-01  2.909830e-01  0.1396107450  0.716112832
#>  [6603,]  1.197570e-01  4.602775e-01  0.1197570399  1.229727669
#>  [6604,] -4.095704e-01  4.686552e-01  0.3113859096  1.087536724
#>  [6605,]  7.187367e-02  1.068321e+00  0.5083644092  0.686515679
#>  [6606,]  4.116068e-01  4.086218e-01  0.5550461092  0.103918299
#>  [6607,]  3.344307e-01  2.776864e-01  0.5868164822  0.586816482
#>  [6608,]  2.693699e-01 -1.121578e-01  0.2693699478  0.551487688
#>  [6609,]  2.647217e-01  2.647217e-01  0.5500101285  0.821951822
#>  [6610,] -1.557521e-02  8.051301e-01  0.8051300968  0.608985061
#>  [6611,] -1.071880e-01  4.613013e-01  0.4613012656  0.461301266
#>  [6612,]  5.171009e-01  5.171009e-01  0.5859696816  0.642915728
#>  [6613,]  4.014497e-01  5.406471e-01  0.4014496648  0.540647117
#>  [6614,]  2.557081e-01  2.557081e-01  0.3138504154  0.255708079
#>  [6615,]  4.515940e-01  5.019342e-01  0.4961627718  0.773363310
#>  [6616,] -1.325885e-01  4.465112e-01  0.3153564241  0.800278374
#>  [6617,] -3.528637e-02  8.076998e-01  0.6842150598  0.442364561
#>  [6618,]  3.384197e-01  5.722919e-01  0.6426853236  0.690014041
#>  [6619,] -6.476601e-02  4.682549e-01  0.7543599633  0.468254875
#>  [6620,]  4.516664e-01  6.018826e-01  0.3218026316  0.451666369
#>  [6621,]  6.290065e-02  3.875581e-01  0.3875581314  0.688498294
#>  [6622,]  5.898815e-01  7.967597e-01  0.5898814934  0.796759733
#>  [6623,]  4.339678e-01  4.339678e-01  0.4339678342  1.170177127
#>  [6624,]  4.281682e-02  3.708591e-01  0.3708591231  0.587905795
#>  [6625,] -2.662423e-02  2.648699e-01  0.5061686255  0.506168626
#>  [6626,]  2.721115e-01  6.722473e-01  0.3081040038  0.620272462
#>  [6627,] -7.298109e-02  5.638755e-01  0.5638755166  0.563875517
#>  [6628,]  4.938526e-01  3.426932e-01  0.4938525974  0.398748664
#>  [6629,]  3.885575e-01  2.946190e-01  0.4929486403  0.492948640
#>  [6630,]  3.309835e-01  5.044093e-01  0.3309835315  0.504409344
#>  [6631,]  3.249801e-01  6.437237e-01  0.6437236531  0.643723653
#>  [6632,]  4.696544e-01  4.696544e-01  0.4696544408  0.469654441
#>  [6633,]  6.053274e-01  6.053274e-01  0.6053273958  0.605327396
#>  [6634,]  2.727926e-01  2.727926e-01  0.2727926098  0.272792610
#>  [6635,]  3.637637e-01  3.637637e-01  0.3637636931  0.363763693
#>  [6636,]  4.656877e-01  4.656877e-01  0.4656877412  0.465687741
#>  [6637,]  6.351967e-01  6.351967e-01  0.6351966657  0.635196666
#>  [6638,]  1.628041e-01  5.102819e-01  0.5102818666  0.658418918
#>  [6639,]  2.263972e-01  3.487091e-01  0.3487090562  1.136622360
#>  [6640,] -1.607926e-02  7.826493e-01  0.7534879879  0.753487988
#>  [6641,] -2.771406e-01  9.340691e-01  0.9443531519  0.995901718
#>  [6642,] -2.350448e-02  2.572440e-01  0.4620794545  1.123866501
#>  [6643,]  1.279092e-01  4.967617e-01  0.1375622501  1.405710113
#>  [6644,]  4.003345e-02  2.888858e-01  0.4057549820  1.045360941
#>  [6645,]  6.537208e-01  3.762875e-01  0.3762875318  0.653720755
#>  [6646,]  4.955688e-01  4.812034e-01  0.4955687637  0.754682120
#>  [6647,]  4.232534e-01  2.750132e-01  0.2750132278  0.980372809
#>  [6648,]  2.459216e-01  2.181404e-01  0.3643000453  0.789512769
#>  [6649,]  4.495187e-01  4.495187e-01  0.4495187112  0.449518711
#>  [6650,]  3.818190e-01  2.900651e-01  0.7962079050  0.796207905
#>  [6651,]  4.346511e-01  4.346511e-01  0.7194957762  0.719495776
#>  [6652,]  3.487937e-02  4.015131e-01  0.4015131261  0.932136016
#>  [6653,]  3.053834e-01  3.053834e-01  0.3053834383  0.305383438
#>  [6654,]  4.706700e-01  4.706700e-01  0.4706699901  0.470669990
#>  [6655,]  1.274811e-01  6.190150e-01  0.6190150079  0.919283203
#>  [6656,] -2.156468e-01  7.010033e-01  0.5468436453  0.701003257
#>  [6657,] -1.444816e-01  8.802165e-01  0.5560674966  0.613193195
#>  [6658,]  3.709904e-01  7.096937e-01  0.3709904490  0.903223569
#>  [6659,] -4.700031e-02  6.484405e-01  0.6484404776  0.648440478
#>  [6660,]  5.518773e-01  5.518773e-01  0.5518772560  0.551877256
#>  [6661,]  1.177793e-01  6.900825e-01  0.6900825090  0.690082509
#>  [6662,]  3.184603e-01  7.844293e-01  0.2572892425  1.253452664
#>  [6663,]  5.533788e-01  8.312040e-01 -0.0299190016  0.645870961
#>  [6664,]  2.356500e-01 -1.492725e-01  0.2356499517  0.235649952
#>  [6665,]  1.247094e+00  5.847192e-01  0.5847191740  1.410292372
#>  [6666,] -3.166314e-01  5.958409e-01  0.5958408831  0.836799377
#>  [6667,]  4.634256e-01  6.620320e-01  0.6801776905  0.901822485
#>  [6668,]  4.290645e-01  4.290645e-01  0.9520399542  0.658489991
#>  [6669,]  3.677560e-01  3.677560e-01  0.5607650006  0.560765001
#>  [6670,] -5.434613e-01  3.667996e-01  0.6244925990  0.679241206
#>  [6671,]  6.733312e-01  6.733312e-01  0.2638234968  0.673331157
#>  [6672,]  5.446023e-01  3.429157e-01  0.2275434991  0.544602332
#>  [6673,] -1.117775e-01  2.044311e-01  0.7448146729  0.422080776
#>  [6674,]  4.366358e-01  2.056994e-01  0.5679303430  0.567930343
#>  [6675,]  4.832546e-02  4.810844e-01  0.4810844414  0.481084441
#>  [6676,]  2.224219e-02  4.101347e-01  0.5542096631  0.554209663
#>  [6677,] -6.260409e-02  5.747807e-01  0.5747807405 -0.062604091
#>  [6678,]  4.362311e-01  6.475868e-01  0.6475868413  0.647586841
#>  [6679,]  4.573680e-01  4.573680e-01  0.4573680226  0.619808426
#>  [6680,]  6.852995e-01  6.852995e-01  0.6852995458  0.685299546
#>  [6681,]  7.082363e-01  3.719886e-01  0.7082362856  0.476303382
#>  [6682,]  9.285327e-02 -6.086791e-02  1.0659300926  1.065930093
#>  [6683,]  3.617917e-01  3.617917e-01  0.6073861023  0.783859921
#>  [6684,]  2.622599e-01  3.753334e-01  0.3532296453  0.825022952
#>  [6685,] -1.089291e-01  5.360489e-01  0.5360489326  0.536048933
#>  [6686,]  1.046898e-02  5.141147e-01  0.5141146554  0.894101760
#>  [6687,] -1.255188e-01  5.747664e-01  0.5747663857  0.680482555
#>  [6688,]  4.104241e-02  4.721541e-01  0.7781789203  0.778178920
#>  [6689,]  2.736165e-01  1.083313e-01  0.4881701407  0.360588836
#>  [6690,] -6.244240e-01  2.411870e-01  0.1861908522  0.865814452
#>  [6691,] -1.365565e-01  1.081634e-01  0.6750523543  0.518469037
#>  [6692,]  3.104668e-01  7.814305e-01  0.7814304687  0.819151631
#>  [6693,] -1.480963e-01  8.672252e-01  0.7594623902  0.759462390
#>  [6694,] -7.628975e-02  6.276746e-01  0.4743572253  0.711817607
#>  [6695,]  5.311487e-01  5.311487e-01  0.5311487226  0.679248276
#>  [6696,]  1.444840e-01  2.621550e-01  0.7301798733  0.754145686
#>  [6697,] -6.769386e-02  7.439430e-01  0.9275211533  0.781023904
#>  [6698,] -9.548760e-02  3.179073e-01  0.5880779257  0.768475830
#>  [6699,]  2.399710e-01  6.030088e-01  0.6030088267  0.447761118
#>  [6700,] -7.700254e-02  4.524125e-01  0.4524125407  0.452412541
#>  [6701,]  1.489075e-01  5.148460e-01  0.6882780918  0.514845986
#>  [6702,] -1.666007e-02  5.745580e-01  0.4991214843  0.574558047
#>  [6703,] -3.198615e-02  5.773398e-01  0.2527498604  0.577339818
#>  [6704,]  1.118586e-01  4.239556e-01  0.3641886412  1.053336769
#>  [6705,]  4.868407e-01  4.868407e-01  0.3842672523  0.486840736
#>  [6706,]  5.705153e-01  3.434218e-01  0.3434218273  1.166894897
#>  [6707,]  3.489797e-01  2.748103e-01  0.3489796682  0.348979668
#>  [6708,]  7.906778e-02  4.756867e-01  0.4756866702  0.536091786
#>  [6709,]  2.694390e-01  6.489297e-01  0.6489297264  0.648929726
#>  [6710,]  6.334977e-01  6.334977e-01  0.6334977069  0.633497707
#>  [6711,]  3.506795e-02  6.121472e-01  0.6121472042  0.612147204
#>  [6712,] -1.012188e-01  1.934737e-01  0.7138251154  0.713825115
#>  [6713,] -1.082090e-01  6.375254e-01  0.6375254012  0.806127528
#>  [6714,] -1.616295e-01  5.477625e-01  0.5477624870  0.513997125
#>  [6715,] -4.296477e-01  8.039241e-01  0.8648109230  0.803924112
#>  [6716,] -1.374172e-01  2.862287e-01  0.5673925374  0.567392537
#>  [6717,] -2.596693e-01  1.967614e-01  0.7376937674  0.689855123
#>  [6718,]  3.101597e-01  3.101597e-01  0.4648510253  0.805404604
#>  [6719,]  4.618388e-01  4.290955e-01  0.5472959006  0.947741841
#>  [6720,]  3.303906e-01  3.303906e-01  0.3305527930  0.330552793
#>  [6721,]  2.868032e-01  3.782267e-01  0.5856747491  0.475535265
#>  [6722,]  1.929202e-01  8.718197e-01  0.1929202393  0.726620993
#>  [6723,]  1.334263e-01  1.889833e-01  0.9804361346  0.980436135
#>  [6724,]  7.612867e-02  7.929327e-01  0.3302678726  0.792932739
#>  [6725,] -4.042911e-02  4.460592e-01  0.7343068984  0.734306898
#>  [6726,]  5.251048e-03  7.116161e-01  0.5321080499  0.532108050
#>  [6727,] -1.425457e-01  6.731890e-01  0.7159987661  0.550575835
#>  [6728,]  3.624831e-01  6.273639e-01  0.8030781997  0.627363940
#>  [6729,]  6.801111e-01  3.620689e-01  0.3505539450  0.690788984
#>  [6730,]  2.736131e-01  2.736131e-01  0.3318909579  0.657072691
#>  [6731,]  3.709120e-01  3.709120e-01  0.3615665906  0.779552672
#>  [6732,]  5.365546e-01  3.170416e-01  0.8609329867  0.860932987
#>  [6733,]  6.518913e-01  3.619573e-01  0.2549251972  0.959269426
#>  [6734,] -9.656915e-02  3.516083e-01  0.3516082620  0.817953350
#>  [6735,]  5.676060e-01  5.676060e-01  1.1742726690  0.567606018
#>  [6736,]  2.672251e-01  5.965515e-01  0.5965514640  0.596551464
#>  [6737,] -1.495081e-02  5.870748e-01  0.5870748400  0.587074840
#>  [6738,]  6.961926e-01  6.964774e-01  0.6964773783  0.696477378
#>  [6739,]  4.053791e-01  6.642615e-01  0.6642615493  0.405379113
#>  [6740,]  1.288008e-01  6.750132e-01  0.6750131719  0.128800846
#>  [6741,]  4.328792e-01  9.346482e-01  0.4328792339  0.142203419
#>  [6742,]  4.526807e-01  4.526807e-01  0.1288427854  0.238500111
#>  [6743,]  1.925749e-01  8.308413e-01  0.5904263632  0.830841254
#>  [6744,]  2.079231e-01  5.464101e-01  0.5464101389  0.546410139
#>  [6745,]  1.439732e-01  6.910667e-01  0.6910667375  0.691066738
#>  [6746,]  5.036417e-01  1.800368e-01  0.5036416798  0.180036834
#>  [6747,]  9.858107e-02  6.301124e-01  0.6301124430  0.630112443
#>  [6748,]  3.858895e-01  7.022042e-01  0.7022041866  0.702204187
#>  [6749,]  1.631957e-01  8.155864e-01  0.9140957808  0.815586409
#>  [6750,]  2.225676e-01  4.642789e-01  0.4482375040  0.733731324
#>  [6751,]  1.687964e-01  1.687964e-01  0.4402072428  0.419700279
#>  [6752,]  3.751735e-01  3.751735e-01  0.3579699213  0.300180619
#>  [6753,]  3.902864e-01  3.902864e-01  0.6522572622  0.652257262
#>  [6754,] -2.303100e-01  5.219912e-01  0.5219911788  0.521991179
#>  [6755,]  6.734256e-01  6.734256e-01  0.3460606111  0.673425624
#>  [6756,]  4.298213e-01  6.460462e-01  0.6069118759  1.105781256
#>  [6757,] -1.897456e-02  3.996827e-01  0.7899294298  0.789929430
#>  [6758,]  3.207052e-01  7.412421e-01  0.7412420958  0.741242096
#>  [6759,]  1.849315e-01  6.083797e-01  0.5900535208  0.608379659
#>  [6760,] -4.558151e-02  5.303370e-01  0.5303369745  0.530336974
#>  [6761,] -9.478633e-02  3.731751e-01  0.3731750990  0.494091482
#>  [6762,]  9.157492e-02  6.219037e-01  0.3189347804  0.271183536
#>  [6763,]  5.507742e-01  5.507742e-01  0.5507742436  0.550774244
#>  [6764,]  5.112113e-01  5.112113e-01  0.6124639062  0.612463906
#>  [6765,]  2.491809e-01  1.749827e-01  0.8624991491  0.796901455
#>  [6766,]  1.291120e-01  1.327625e-01  0.5496071140  0.541606258
#>  [6767,]  4.146071e-01  3.420600e-01  0.3420600091  1.005381393
#>  [6768,]  3.996355e-01  3.996355e-01  0.3996354787  0.604856172
#>  [6769,]  2.529928e-01  2.529928e-01  0.6886110726  0.252992758
#>  [6770,]  2.640919e-01  2.640919e-01  0.5736473107  0.433899006
#>  [6771,]  2.962114e-01  6.668348e-01  0.3130976128  0.666834790
#>  [6772,]  5.169456e-01  5.170370e-01  0.7330803256  0.517037049
#>  [6773,]  4.519857e-01  4.493967e-01  0.4493967027  0.451985744
#>  [6774,]  3.713146e-01  3.713146e-01  0.3713146081  0.762354516
#>  [6775,]  9.918863e-02  3.176131e-01  0.9943541661  0.994354166
#>  [6776,]  7.813640e-01  2.936205e-01  0.1873913613  0.498456392
#>  [6777,]  5.080893e-01  5.080893e-01  0.5080893159  0.508089316
#>  [6778,]  6.378524e-01  6.378524e-01  0.6378523747  0.637852375
#>  [6779,] -1.458595e-01  6.761113e-01  0.6761112835  0.676111283
#>  [6780,]  6.381926e-01  6.381926e-01  0.6381925583  0.638192558
#>  [6781,]  4.433192e-01  2.282166e-01  0.2282166142  0.228216614
#>  [6782,]  4.197296e-01  4.197296e-01  0.4197295918  0.419729592
#>  [6783,]  1.054250e-01  5.436781e-01  0.1758737727  0.543678150
#>  [6784,]  7.340592e-02 -9.906726e-02 -0.1689498824  0.689596764
#>  [6785,]  5.473357e-01  5.320004e-01  0.5320003915  0.532000392
#>  [6786,] -2.535201e-01  6.361413e-01  0.6361413294  0.696674470
#>  [6787,]  5.281439e-01  3.163722e-01  0.5281439070  0.505785626
#>  [6788,] -1.843920e-01  6.192072e-01  0.5170952263  0.086488334
#>  [6789,]  3.664815e-01  7.074932e-01  0.7074931943  0.707493194
#>  [6790,]  3.092408e-01  3.092408e-01  0.8451630536  0.309240824
#>  [6791,]  2.794136e-01 -2.342711e-01  0.2794136108  0.901619274
#>  [6792,]  2.029182e-01  5.288938e-01  0.3089974659  0.528893767
#>  [6793,]  3.092562e-01  3.092562e-01  0.3685082635  0.869744626
#>  [6794,]  1.813836e-01  6.750414e-01  0.6750414033  0.944646200
#>  [6795,] -7.503034e-02  7.547506e-01  0.7547506032  0.829930762
#>  [6796,]  5.652372e-02  3.545020e-01  0.3545020213  0.354502021
#>  [6797,]  1.841997e-01  6.059947e-01  0.6059947485  0.605994748
#>  [6798,]  3.878459e-01  6.274619e-01  0.4112885658  0.627461862
#>  [6799,]  4.312743e-01  5.997031e-01  0.5997031002  0.599703100
#>  [6800,]  1.360230e-01  7.163749e-01  0.1360230309  0.716374865
#>  [6801,]  4.992890e-01  4.808404e-01  0.1711167127 -0.101839176
#>  [6802,]  1.333616e-01  9.274653e-01  0.9274652833  0.927465283
#>  [6803,]  8.499685e-02  6.403483e-01  0.6403483224  0.640348322
#>  [6804,]  1.634542e-01  4.451925e-01  0.4451924631  0.445192463
#>  [6805,]  3.609464e-01  5.532117e-01  0.5532116935  0.360946361
#>  [6806,]  4.691396e-01  4.691396e-01  0.4691396198  0.574997107
#>  [6807,]  4.275132e-01  4.381207e-01  0.3422790128  0.342279013
#>  [6808,]  4.980574e-01  5.613753e-01  0.5613752973  0.561375297
#>  [6809,] -3.638510e-01  5.191059e-01  0.5191059307  0.519105931
#>  [6810,]  3.735232e-01  3.735232e-01  0.3735231662  0.373523166
#>  [6811,]  5.937581e-01  5.937581e-01  0.5387533467  0.794942407
#>  [6812,] -2.040112e-01  4.742019e-01  0.3149156163  0.474201941
#>  [6813,] -2.553439e-01  2.627724e-01  0.6280270404  0.657307765
#>  [6814,] -1.315129e-01  6.014571e-01  0.4336465998  0.700139807
#>  [6815,]  2.255525e-01  4.547632e-01  0.2255524528  0.581945459
#>  [6816,] -3.291955e-02  2.822857e-01  0.3555257858  0.597982632
#>  [6817,]  5.837119e-01  7.453350e-01  0.0902731786  0.862043720
#>  [6818,]  3.549605e-01  1.389258e-01 -0.0038161505  0.962431943
#>  [6819,]  1.895790e-01  3.424001e-01  0.4013642299  0.844590132
#>  [6820,]  3.005209e-01  3.140588e-01  0.3140588060  0.657070028
#>  [6821,]  3.755404e-01  3.254938e-01  0.3755404104  0.325493838
#>  [6822,] -7.231503e-02  4.001239e-01  0.4001238574  0.138223908
#>  [6823,]  1.676968e-01 -9.065937e-02  0.6471661323 -0.008050571
#>  [6824,] -9.246627e-02  4.762171e-01  0.7143296055  0.714329605
#>  [6825,] -3.726775e-03  3.476733e-01  0.3476732780  1.078997284
#>  [6826,]  2.161016e-01  2.161016e-01  0.2161015557  0.216101556
#>  [6827,]  3.670592e-01  1.780467e-01  0.1780466675  0.818159392
#>  [6828,]  2.705870e-02  1.294099e-01  0.4012523110  0.693696189
#>  [6829,] -3.642745e-01  8.182634e-01  0.5589041607  0.895412225
#>  [6830,]  2.307474e-01  7.157138e-01  0.9073035561  0.230747444
#>  [6831,]  7.524062e-02  9.561449e-01  0.6689289370  0.459216621
#>  [6832,] -9.240164e-02  4.344296e-01  0.4344296246  0.434429625
#>  [6833,]  2.067299e-01  5.249480e-01  0.5249480419  0.524948042
#>  [6834,]  3.194195e-01  5.882456e-01  0.5882456076  0.588245608
#>  [6835,]  2.560575e-01  5.612831e-01  0.5612830944  0.561283094
#>  [6836,]  4.364823e-01  4.364823e-01  0.1478074560  0.930828669
#>  [6837,] -1.180182e-01  3.785885e-01  0.6477976051  0.726268074
#>  [6838,] -8.679134e-02  3.641742e-01  0.6411140851  0.908200305
#>  [6839,]  1.121273e-01  3.318459e-01  0.4629305281  0.887534894
#>  [6840,] -5.825796e-02  6.601191e-01  0.1399920930  0.954070914
#>  [6841,]  1.577729e-01  7.657237e-01  0.5681445990  1.031286197
#>  [6842,]  2.457290e-01  3.941053e-01  0.2877830252  0.746419063
#>  [6843,]  5.084985e-01  5.084985e-01  0.5084985254  0.523177837
#>  [6844,]  2.063748e-01  3.724087e-01  0.3724087043  0.590808332
#>  [6845,]  2.211473e-01  8.276795e-01  0.6379357115  0.845184363
#>  [6846,]  4.345114e-01  6.118623e-01  0.4345114290  0.804582348
#>  [6847,]  2.669438e-01  2.760702e-01  0.6929869787  0.738538807
#>  [6848,]  1.926474e-01  5.874365e-01  0.6834296436  0.542539324
#>  [6849,]  5.734774e-02  8.127498e-01  0.7883852349  0.568630281
#>  [6850,] -1.742256e-01  3.618234e-01  0.8084268287  0.808426829
#>  [6851,] -1.485464e-01  3.536700e-01 -0.1304019456  0.655894481
#>  [6852,]  6.654053e-01  7.266339e-01  0.6654052546  0.665405255
#>  [6853,] -2.861097e-01  5.427260e-01  0.5427260374  1.064746817
#>  [6854,] -7.256939e-02  4.093415e-01  0.5327200590  1.125669186
#>  [6855,] -2.858877e-01  4.803388e-01  0.4080575104  0.480338798
#>  [6856,]  1.327411e-01  1.327411e-01  0.1327411246  0.132741125
#>  [6857,]  2.803217e-01  6.887348e-01  0.6887347701  0.688734770
#>  [6858,] -6.186632e-01  4.561138e-01  0.5358313892  0.456113839
#>  [6859,]  2.176318e-01  2.512747e-01  0.6585467248  0.991612193
#>  [6860,]  4.393863e-01  5.411262e-01  1.2751136021  0.113046450
#>  [6861,]  3.487671e-01  4.009019e-01  0.6801065511  0.400901866
#>  [6862,]  2.288285e-01  8.778408e-01  0.2288285266  0.228828527
#>  [6863,]  2.034692e-01  6.080358e-01  0.4347183577  0.608035788
#>  [6864,]  5.342304e-01  5.342304e-01  0.2539953701  0.534230412
#>  [6865,]  5.028055e-01  5.028055e-01  0.5028054675  0.502805467
#>  [6866,]  3.507266e-01  8.435584e-01  0.3507265771  0.843558439
#>  [6867,]  1.654272e-01  1.654272e-01  0.1654271692  0.992785242
#>  [6868,]  1.459336e-01  7.918561e-01  0.5790143095  0.576697630
#>  [6869,]  1.115160e-01  4.278625e-01  0.1154313091  0.401656375
#>  [6870,]  2.602530e-01  2.602530e-01  1.0331227068  1.017209355
#>  [6871,]  5.741194e-01  8.478942e-01  0.9562933567  0.956293357
#>  [6872,]  3.420166e-01  7.165179e-01  0.3420165697  0.342016570
#>  [6873,] -5.729814e-02  6.989641e-01  0.6535934463  0.653593446
#>  [6874,]  4.913836e-01  4.913836e-01  0.4913836223  0.533269735
#>  [6875,]  3.475291e-01  6.405683e-01  0.4701914272  0.640568299
#>  [6876,]  6.321497e-01  6.321497e-01  0.6321497069  0.632149707
#>  [6877,]  3.691224e-01  3.691224e-01  0.5966817734  0.596681773
#>  [6878,] -9.220624e-03  5.991273e-01  0.5991272890  0.599127289
#>  [6879,]  7.527029e-01  7.527029e-01  0.7527028866  0.752702887
#>  [6880,]  3.944758e-01  8.560632e-02  0.3944758349  0.839107642
#>  [6881,]  2.718916e-01  7.200289e-01  0.2718915957  0.720028879
#>  [6882,] -1.669979e-01  1.329864e-01  0.5676512729  0.567651273
#>  [6883,]  2.861707e-02  6.259699e-01  0.6259699270  0.742330924
#>  [6884,]  2.954343e-01  6.096875e-01  0.7736398086  0.773639809
#>  [6885,] -1.796454e-01  6.204774e-01  0.5866332782  0.586633278
#>  [6886,]  1.543848e-01  6.585724e-01  0.3181033785  1.198222009
#>  [6887,]  2.021199e-01  2.206626e-01  0.6460989607  0.820528064
#>  [6888,]  4.342039e-01  5.878938e-01  0.5878937920  0.923637828
#>  [6889,]  1.831536e-01  7.831351e-01  0.4486717329  0.183153648
#>  [6890,] -1.545522e-01  7.476798e-01  0.3615982121  0.361598212
#>  [6891,]  5.659880e-01  5.659880e-01  0.5659880018  0.673545785
#>  [6892,]  3.363310e-01  3.609950e-01  0.3609950337  0.336330962
#>  [6893,] -2.800289e-01  4.449852e-01  0.7591040279  0.759104028
#>  [6894,]  2.862130e-01  7.455240e-01  0.4316462594  0.920078091
#>  [6895,] -1.442396e-01  6.862396e-01  0.6018569050  0.601856905
#>  [6896,]  1.313126e-01  6.413000e-01  0.6412999665  0.614909962
#>  [6897,]  5.162609e-01  5.162609e-01  0.5162609098  0.516260910
#>  [6898,]  5.047836e-01  5.047836e-01  0.5047836089  0.504783609
#>  [6899,]  7.140147e-01  6.062514e-01  0.7140146829  0.714014683
#>  [6900,]  5.797456e-01  5.738061e-01  0.5738061086  0.573806109
#>  [6901,]  3.702003e-01  3.702003e-01  0.5433270853  0.370200320
#>  [6902,] -1.721542e-01  7.530789e-01  0.8822399708  0.753078932
#>  [6903,] -1.436641e-01  8.060365e-01  0.6767642870  0.806036452
#>  [6904,]  2.688886e-01  5.362402e-01  0.4604040091  0.633767736
#>  [6905,]  4.237112e-01  4.237112e-01  0.3876346691  0.631065984
#>  [6906,] -1.735146e-01  1.834214e-01  0.5355873004  0.324485652
#>  [6907,]  4.307081e-01  4.307081e-01  0.4307080550  0.570340863
#>  [6908,]  5.405100e-01  5.405100e-01 -0.3940398915  0.540510046
#>  [6909,]  1.654139e-01  4.698914e-01  0.1654139275  0.599746693
#>  [6910,]  4.064527e-01  4.064527e-01  0.7728411743  0.406452748
#>  [6911,]  2.209959e-01  2.209959e-01  0.1385717051  0.220995949
#>  [6912,]  3.281364e-01  7.108723e-01  0.7108722515  0.547286555
#>  [6913,]  3.532672e-01  3.339695e-01  0.4385002854  0.737275652
#>  [6914,]  3.088939e-01  2.973321e-01  1.0520096084  0.584476981
#>  [6915,]  3.183460e-01  4.159992e-01  0.3183459869  0.415999151
#>  [6916,]  4.336026e-01  3.918507e-01  0.7828886125  0.391850668
#>  [6917,]  4.348240e-01  4.278640e-01  0.4348240042  0.427864030
#>  [6918,]  4.281860e-01  4.281860e-01  0.4281860310  0.428186031
#>  [6919,]  5.814207e-01  5.814207e-01  0.5814206867  0.619941117
#>  [6920,] -1.426284e-01  5.951783e-01  0.5951782866  0.595178287
#>  [6921,]  7.298822e-01  7.298822e-01  0.7298822115  0.729882211
#>  [6922,]  4.914424e-01  4.914424e-01  0.4914423596  0.491442360
#>  [6923,]  5.616864e-01  5.616864e-01  0.5616863680  0.561686368
#>  [6924,]  2.961168e-01  2.961168e-01  0.2961167608  0.296116761
#>  [6925,]  1.174158e-01  7.893347e-01  0.1174158256  0.789334743
#>  [6926,]  3.404231e-02  5.038696e-01  0.5038695858  0.534332070
#>  [6927,]  1.141524e-01  5.528920e-01  0.5528920338  0.552892034
#>  [6928,]  4.460301e-01  4.460301e-01  0.4460301139  0.446030114
#>  [6929,]  4.913171e-01  4.913171e-01  0.4913171465  0.491317146
#>  [6930,]  6.961375e-01  6.961375e-01  0.6961375390  0.696137539
#>  [6931,]  6.114604e-01  6.114604e-01  0.6114604150  0.611460415
#>  [6932,]  7.001109e-01  7.001109e-01  0.7001108910  0.700110891
#>  [6933,]  4.556554e-01  4.556554e-01  0.4556553676  0.957847485
#>  [6934,] -2.012060e-01  1.615039e-01  0.5894643258  0.402686012
#>  [6935,] -2.465187e-01 -3.079802e-02  0.4904158307  0.490415831
#>  [6936,]  2.293902e-01  2.293902e-01  0.6900206050  0.674558950
#>  [6937,]  3.666383e-01  3.666383e-01  0.2928633259  0.674666949
#>  [6938,]  4.042918e-01  4.502989e-01  0.4042917505  0.404291750
#>  [6939,]  7.506542e-02  6.524145e-01  0.6524145109  0.652414511
#>  [6940,] -2.596845e-02  6.773159e-01  0.6773158837  0.677315884
#>  [6941,]  9.806248e-02  5.565752e-01  0.5565752447  0.556575245
#>  [6942,]  3.937038e-01  3.937038e-01  0.3937038310  0.393703831
#>  [6943,]  2.317856e-01  6.394339e-01  0.6394338731  0.985687207
#>  [6944,]  3.873448e-01  7.597803e-01  0.4336963392  1.024443056
#>  [6945,]  4.682637e-02  6.209240e-01  0.3377599056  0.620924026
#>  [6946,]  2.101809e-01  6.058076e-01  0.6058076403  0.605807640
#>  [6947,]  2.252937e-01  7.204161e-01  0.3568605065  0.720416085
#>  [6948,]  5.252568e-03  4.635643e-01  0.4091641568  0.556749180
#>  [6949,]  2.716964e-01  6.068114e-01  0.4686570753  0.773210825
#>  [6950,]  1.692509e-01  5.425504e-01  0.1692508541  0.917168867
#>  [6951,]  8.567768e-02  5.729756e-01  1.0429521208  0.572975556
#>  [6952,]  2.242441e-01  5.189038e-01  0.5189038411  0.518903841
#>  [6953,]  2.984987e-01  2.984987e-01  0.6050432712  0.605043271
#>  [6954,]  5.364344e-01  5.364344e-01  0.5364344466  0.536434447
#>  [6955,]  4.906517e-01  4.906517e-01  0.4906517056  0.490651706
#>  [6956,]  4.817914e-01  5.873580e-01  0.5873579666  0.587357967
#>  [6957,]  4.700298e-01  6.531504e-01  0.3503068840  0.653150389
#>  [6958,]  1.436979e-01  1.436979e-01  0.7179153405  0.717915340
#>  [6959,]  5.033043e-02  7.233755e-01  0.7233754820  0.723375482
#>  [6960,] -2.245803e-01  2.864010e-01  0.2864009928  0.286400993
#>  [6961,] -3.389203e-01  6.254939e-01  0.0703952875  0.070395288
#>  [6962,]  2.988417e-01  6.147551e-01  0.2988417312  0.614755115
#>  [6963,]  4.290405e-01  4.579984e-01  0.2208617271  0.457998390
#>  [6964,]  3.369007e-01  3.369007e-01  0.4864148765  0.336900666
#>  [6965,] -2.973146e-01  6.320569e-01  0.4902843881  0.490284388
#>  [6966,] -2.856709e-01  6.283805e-01  0.3425683748  0.591457879
#>  [6967,]  3.853250e-01  3.853250e-01  0.2240980520  0.385324971
#>  [6968,]  4.421437e-01  4.984018e-01  0.1369081625  0.600254556
#>  [6969,]  1.963722e-02  4.788143e-01  0.4788142842  0.751944565
#>  [6970,]  1.331945e-01  5.127941e-01  0.4535952191  0.668511722
#>  [6971,] -9.527020e-02  5.798995e-01  0.5237887103  0.523788710
#>  [6972,]  1.911269e-01  4.357131e-01  0.4357130824  0.435713082
#>  [6973,]  5.012328e-01  5.012328e-01  0.5012327669  0.501232767
#>  [6974,]  7.263182e-01  6.752400e-01  0.7263182047  0.532490633
#>  [6975,] -1.541125e-01  5.218845e-01  0.5218844613  0.489313083
#>  [6976,]  1.771673e-03  8.116215e-01  0.8116214640  0.369563827
#>  [6977,] -5.071767e-03  5.169746e-01  0.5169745764  0.516974576
#>  [6978,]  2.090525e-01  7.095001e-01  0.7095000520  0.911450328
#>  [6979,]  2.534360e-01  5.911225e-01  0.6844365684  0.684436568
#>  [6980,]  2.117118e-01  7.458944e-01  0.7342307041  0.734230704
#>  [6981,]  1.524803e-01  8.075802e-01  0.8546161571  0.590640655
#>  [6982,]  6.583871e-02  4.270495e-01  0.4726139234  0.918073945
#>  [6983,]  4.647471e-01  5.718948e-01  0.2425543256  0.571894772
#>  [6984,]  2.826219e-01  2.826219e-01  0.2076490300  0.958005549
#>  [6985,] -2.022226e-01  8.348595e-01  0.5928354392  0.731295201
#>  [6986,]  1.333533e-01  9.955757e-01  0.4722438866  0.534058887
#>  [6987,]  1.875862e-01  5.546528e-01  0.2770751327  0.554652768
#>  [6988,] -1.877611e-01  9.296539e-01  0.6274243746  0.594195082
#>  [6989,]  1.612290e-01  3.183289e-01  0.5711001886  0.432574014
#>  [6990,]  6.054281e-02  2.906519e-01  0.7209914371  0.411282288
#>  [6991,] -3.027193e-02  2.082433e-01  0.6529971710  0.652566741
#>  [6992,] -2.230274e-01  5.250298e-01  0.7557156373  0.755715637
#>  [6993,] -1.513867e-02  5.797984e-01  0.5797983681  0.579798368
#>  [6994,]  1.483060e-01  5.187075e-01  0.5187075295  0.683892638
#>  [6995,]  6.529935e-02  6.549107e-01  0.5427709015  0.542770901
#>  [6996,] -5.460591e-02  5.025511e-01  0.5025510797  0.502551080
#>  [6997,]  2.988179e-01  5.876555e-01  0.2988179212  0.587655513
#>  [6998,]  2.256792e-01  6.602282e-01  0.3244825149  0.225679192
#>  [6999,]  3.919661e-01  3.882981e-01  0.3919661276  0.391966128
#>  [7000,]  3.859195e-01  1.526566e-01  0.3859194533  0.356844830
#>  [7001,]  1.799776e-02  4.640355e-01  0.7978698883  0.776717999
#>  [7002,]  7.207215e-02  6.912464e-01  0.6912463841  0.656697318
#>  [7003,]  2.962347e-01  5.356901e-01  0.5356900711  0.535690071
#>  [7004,]  4.479037e-01  4.479037e-01  0.5140005845  0.514000585
#>  [7005,]  5.849908e-01  5.849908e-01  0.5849908007  0.584990801
#>  [7006,]  7.917359e-01  7.917359e-01  0.7917358860  0.791735886
#>  [7007,]  3.453901e-02  6.872735e-01  0.6872735082  0.627384069
#>  [7008,]  3.021434e-01  3.021434e-01  0.7407062104  0.740706210
#>  [7009,]  4.318113e-01  5.227150e-01  0.3384744633  0.431811274
#>  [7010,]  2.020957e-01  2.539643e-01  0.7089194578  0.708919458
#>  [7011,]  2.027539e-01  7.592789e-01  0.3185485710  0.759278863
#>  [7012,]  2.932313e-01  4.151175e-01  0.2932313402  0.556060944
#>  [7013,]  3.557691e-01  3.714094e-01  0.8080611430  0.355769092
#>  [7014,]  4.554117e-01  4.554117e-01  0.4554117409  0.455411741
#>  [7015,]  5.397759e-01  5.397759e-01  0.5397759421  0.579554952
#>  [7016,]  4.418703e-01  4.418703e-01  0.4418702856  0.441870286
#>  [7017,] -2.961143e-03  6.899967e-01  0.6899966722  0.689996672
#>  [7018,]  2.749090e-01  6.514696e-01  0.6514695838  0.564454682
#>  [7019,]  8.548886e-02  1.854263e-01  0.7136552047  0.553290177
#>  [7020,]  2.635794e-01  4.686099e-01  0.9901966417  0.660322368
#>  [7021,]  1.953582e-01  6.593244e-01  0.1694377882  0.896162336
#>  [7022,]  3.539850e-01  3.539850e-01  0.5142909022  0.514290902
#>  [7023,]  4.027858e-01  5.014831e-01  0.5014831386  0.501483139
#>  [7024,]  6.978114e-01  6.978114e-01  0.6978114289  0.697811429
#>  [7025,] -1.464985e-01  7.713547e-01  0.7713546797  0.546851835
#>  [7026,] -4.517227e-01  7.625732e-01  0.8733213573  0.762573242
#>  [7027,]  5.262395e-01  5.262395e-01  0.5262395337  0.526239534
#>  [7028,]  2.774598e-01  6.326592e-01  0.6326592289  0.632659229
#>  [7029,]  4.647800e-01  5.448100e-01  0.5196555689  0.544809968
#>  [7030,]  5.799995e-01  9.070499e-01  0.6300940787  0.907049886
#>  [7031,]  5.258201e-01  5.187188e-01  0.7146252574  0.525820083
#>  [7032,]  2.357628e-01  2.357628e-01  0.6633624143  0.235762807
#>  [7033,]  7.932609e-02  5.735566e-01  0.6700851117  0.670085112
#>  [7034,]  1.617227e-02  2.615105e-01  0.4241520097  0.831089056
#>  [7035,] -1.549811e-01  4.508731e-01  0.1628005592  0.843182790
#>  [7036,]  2.551014e-01  2.045229e-02  0.0204522864  1.011063461
#>  [7037,]  2.820788e-01  2.820788e-01  0.2820788315  0.753610547
#>  [7038,]  2.239139e-01  2.239139e-01  0.2239138533  0.223913853
#>  [7039,]  4.233881e-01  4.233881e-01  0.4233881485  0.423388149
#>  [7040,]  4.352488e-01  4.352488e-01  0.4352487962  0.435248796
#>  [7041,]  5.925469e-01  5.925469e-01  0.5925468879  0.592546888
#>  [7042,]  5.476842e-01  5.476842e-01  0.3297449259  0.329744926
#>  [7043,]  2.180052e-01  1.279008e-01  0.4776580835  0.477658083
#>  [7044,]  2.382502e-01  9.288358e-02  0.1994080314  0.420296292
#>  [7045,]  3.246669e-01  2.926677e-01  0.2690239193  0.219908345
#>  [7046,] -6.245713e-02  1.042639e+00  0.1825882258  1.042638612
#>  [7047,]  3.045380e-01  4.843761e-01  0.6673658257  1.158478433
#>  [7048,]  7.193764e-02  5.944792e-01  0.7176625581  0.594479216
#>  [7049,]  3.147483e-01  2.823176e-01  0.2292296734  0.807520995
#>  [7050,]  2.342319e-01  2.372465e-01  0.1317613375  1.034093577
#>  [7051,]  1.134701e-03  1.048513e+00  0.3385831716  1.048513197
#>  [7052,]  3.351339e-01  6.477077e-01  0.8772052790  0.961984326
#>  [7053,]  5.609818e-01  5.609818e-01  0.5609817777  0.560981778
#>  [7054,]  6.234810e-01  6.234810e-01  0.4027998556  0.623481044
#>  [7055,]  4.780699e-01  5.950007e-01  0.3950724379  0.621163276
#>  [7056,]  5.653863e-01  4.988159e-01 -0.0436755404  0.898461643
#>  [7057,]  1.805072e-01  1.805072e-01  0.1805071835  1.113658588
#>  [7058,]  1.611659e-01  8.846873e-01 -0.0075429421  0.884687257
#>  [7059,]  3.528891e-01  7.025385e-01  0.6855299866  0.926182815
#>  [7060,]  6.156943e-01  8.248542e-01  0.1887484237  0.874128293
#>  [7061,] -1.073002e-01  4.935291e-01  0.8018556414  0.515512865
#>  [7062,]  2.798779e-01  3.736535e-01  1.1730633578  0.551899257
#>  [7063,]  2.308469e-01  2.407076e-01  0.9491028197  1.182836841
#>  [7064,]  8.206956e-01  4.825318e-01  0.8206955618  1.064517138
#>  [7065,] -2.672079e-01  6.534454e-01 -0.2672078925  0.757261182
#>  [7066,]  2.162147e-01  7.111487e-01  0.5311186967  1.030091916
#>  [7067,] -3.107923e-01  1.388380e-01  0.6269067482  0.626906748
#>  [7068,] -1.176649e-01  4.608186e-01  0.4608185577  0.460818558
#>  [7069,] -4.541009e-01  6.514018e-01  0.6514018040  0.651401804
#>  [7070,]  2.242853e-01  6.372185e-01  0.6372184578  0.637218458
#>  [7071,]  2.146292e-01  5.590292e-01  0.4621880712  0.657896933
#>  [7072,]  2.017220e-03  6.075438e-01  0.6075438124  0.607543812
#>  [7073,]  5.151280e-01  5.151280e-01  0.5151280079  0.533911510
#>  [7074,] -1.941703e-01  5.476330e-01  0.5476329783  0.547632978
#>  [7075,]  9.040537e-02  5.557668e-01  0.1340017317  0.555766825
#>  [7076,]  2.687279e-01  2.687279e-01  0.6228644420  0.622864442
#>  [7077,] -4.327532e-01  1.551777e-01  0.1970709540  0.155177654
#>  [7078,] -6.866166e-02  3.781893e-02  0.0378189255  0.329815132
#>  [7079,]  5.787813e-02  1.135897e-01  0.5022000032  0.502200003
#>  [7080,]  1.875837e-01  1.558895e-01  0.1558895434  1.007031463
#>  [7081,]  2.598609e-01  2.598609e-01  0.2405604809  0.838812422
#>  [7082,] -7.665286e-01  6.929463e-01  0.2952870435  0.844899064
#>  [7083,]  4.976898e-02  6.879478e-01  0.6786633648  0.687947842
#>  [7084,]  2.052398e-01  6.164206e-01  0.2052398355  0.616420604
#>  [7085,]  1.620917e-01  5.144969e-01  0.5144968548  0.514496855
#>  [7086,] -8.729653e-02  4.466361e-01  0.4016474476  0.487023476
#>  [7087,] -4.261235e-02  6.761035e-01  0.4117542121  0.813661584
#>  [7088,]  3.244607e-01  1.893770e-01  0.3869546591  0.324460706
#>  [7089,]  1.834528e-01  6.162403e-01  0.0058267056  0.939047868
#>  [7090,]  3.111109e-01  3.111109e-01  0.3111109244  1.093929135
#>  [7091,]  4.661887e-01  4.661887e-01  0.4661886639  0.466188664
#>  [7092,]  3.858910e-01  3.858910e-01  0.3858910119  0.385891012
#>  [7093,]  5.520645e-01  5.520645e-01  0.5520645383  0.552064538
#>  [7094,]  4.622258e-01  4.622258e-01  0.4622257848  0.462225785
#>  [7095,]  4.292975e-01  4.292975e-01  0.4292974610  0.429297461
#>  [7096,]  8.189171e-01  8.189171e-01  0.8189170655  0.818917066
#>  [7097,]  3.320669e-01  7.390474e-01  0.7390474119  0.739047412
#>  [7098,]  4.306185e-01  8.870826e-01  0.4306184742  0.887082565
#>  [7099,] -1.356640e-01  4.983611e-01  0.4983610887  0.955263356
#>  [7100,]  6.914671e-02  2.190881e-01  0.7801311856  0.580105501
#>  [7101,] -1.606789e-02  2.986775e-01  0.7681353753  0.587876495
#>  [7102,]  3.462302e-01  5.391441e-01  0.9068695710  1.048760432
#>  [7103,]  3.803053e-02  6.040873e-01  0.6040872677  0.604087268
#>  [7104,] -2.641801e-01  2.249373e-01  0.5411061985  0.601419610
#>  [7105,]  1.548594e-01  3.791816e-01  0.5875994421  0.492417327
#>  [7106,] -1.228833e-01  5.795349e-01  0.6158113399  0.579534891
#>  [7107,] -1.938162e-01  7.767900e-01  0.4425915590  0.352978479
#>  [7108,]  3.353286e-01  6.059045e-01  0.6059045410  0.690103974
#>  [7109,]  6.137196e-01  6.137196e-01  0.6137195839  0.613719584
#>  [7110,]  2.875379e-01  2.875379e-01  0.2875378743  0.287537874
#>  [7111,]  4.350827e-01  4.350827e-01  0.5460204434  0.435082651
#>  [7112,]  1.007796e+00  3.735222e-01  0.0541896866  0.179682152
#>  [7113,]  4.070476e-01  4.070476e-01  0.2463546868  0.438294727
#>  [7114,]  4.969048e-01  4.969048e-01  0.2919735338  0.496904801
#>  [7115,] -3.010611e-01  3.732705e-01  0.4139896572  0.784801058
#>  [7116,]  2.145342e-01  4.025038e-01  0.4424136341  0.385056225
#>  [7117,]  3.588191e-01  3.588191e-01  0.3836340875  0.383634088
#>  [7118,] -3.298825e-01  6.693561e-01  0.6693150916  0.669356060
#>  [7119,]  4.687737e-02  6.915926e-01  0.6866595556  0.691592569
#>  [7120,]  1.626215e-01  6.580688e-01  0.3257265698  0.565930323
#>  [7121,]  4.516044e-02  5.160366e-01  0.4658254024  0.465825402
#>  [7122,]  3.389899e-01  3.389899e-01  0.2623248412  1.016846184
#>  [7123,] -2.330826e-01  1.032711e-01  0.2088610471  0.737730703
#>  [7124,]  3.174657e-01  7.617271e-01  0.7617271358  0.761727136
#>  [7125,] -1.550969e-01  5.484089e-01  0.5312705798  0.531270580
#>  [7126,]  4.514798e-01  6.780301e-01  0.3349433929  0.678030078
#>  [7127,]  3.024780e-02  4.043234e-01  0.0302478032  0.998789011
#>  [7128,]  1.188640e-02  4.663217e-01  0.8524296245  0.894063874
#>  [7129,]  9.503260e-02  4.430874e-01  0.6956714997  0.760374926
#>  [7130,] -1.584014e-01  5.603163e-01  0.6911110908  0.373407569
#>  [7131,]  5.173582e-02  9.085759e-01  0.8180317092  0.818031709
#>  [7132,]  1.016292e-01  6.342541e-01  0.7178260698  0.717826070
#>  [7133,]  1.381717e-01  1.381717e-01  0.9357195965  0.663556933
#>  [7134,]  3.425245e-01  3.303631e-01  0.3303631374  0.497807916
#>  [7135,]  6.257589e-01  6.257589e-01  0.6257588922  0.592002999
#>  [7136,]  1.948916e-01  6.963050e-01  0.4608974327  0.696304990
#>  [7137,]  4.008585e-02  4.008585e-02  0.2733268551  0.538788194
#>  [7138,]  2.523205e-01  3.721564e-01  0.5919824079  0.650953853
#>  [7139,]  5.691666e-01  9.643791e-01  0.5691665617  0.964379079
#>  [7140,]  9.182259e-01  2.253513e-01  0.8638813220  0.918225904
#>  [7141,]  1.449760e-01  1.094148e+00  0.8369806925  1.094148244
#>  [7142,]  6.087488e-01  2.167577e-01  0.2167577005  0.898930842
#>  [7143,]  5.908952e-01  6.378103e-03  0.5908951652  0.884769259
#>  [7144,]  6.498442e-01  5.929757e-01  0.6498441582  0.649844158
#>  [7145,]  4.235844e-01  5.868456e-01  0.5868456482  0.586845648
#>  [7146,]  4.079469e-01 -2.700073e-02  0.4079468517  0.892568479
#>  [7147,] -3.465294e-01  9.740463e-01  0.3354458904  0.974046256
#>  [7148,] -7.211851e-01 -1.794715e-01  0.3513456620  0.978300527
#>  [7149,]  1.504655e-01  6.829068e-01  0.6829068127  0.819114510
#>  [7150,] -8.588434e-02  6.467085e-01  0.8052058025  0.923508926
#>  [7151,] -1.380366e-02  6.488750e-01  0.6077342573  0.839666262
#>  [7152,] -5.372377e-02  6.683359e-01  0.5983106543  0.668335948
#>  [7153,] -5.888738e-02  7.339458e-01  0.5634856209  0.733945812
#>  [7154,]  3.056266e-01  3.433077e-01  0.4309207039  0.895984970
#>  [7155,]  4.296138e-01  4.296138e-01  0.7402810396  0.740281040
#>  [7156,] -6.170059e-02  5.374842e-01  0.5374841801  0.537484180
#>  [7157,]  1.274458e-01  5.564841e-01  0.5564840560  0.556484056
#>  [7158,]  5.341448e-01  5.341448e-01  0.5341447891  0.534144789
#>  [7159,]  5.592529e-01  5.592529e-01  0.5592529089  0.559252909
#>  [7160,]  1.766915e-01  1.766915e-01  0.3064098812  0.803782020
#>  [7161,]  1.891248e-01  5.976342e-01  0.5694000121  0.597634161
#>  [7162,]  6.093241e-02  4.044768e-01  0.4044767507  0.404476751
#>  [7163,] -1.288066e-01 -8.361685e-02  0.6573722534  0.657372253
#>  [7164,] -1.755340e-01  4.179260e-01  0.4179259769  0.417925977
#>  [7165,]  1.052255e-01  6.356244e-01  0.6999686198  0.699968620
#>  [7166,]  3.509444e-02  6.256739e-01  0.0350944359  0.625673874
#>  [7167,]  6.323417e-01  3.715840e-01  0.6323416560  0.632341656
#>  [7168,]  4.335779e-01  6.248222e-01  0.6248221876  0.624822188
#>  [7169,]  2.679487e-01  2.679487e-01  0.2679486857  0.267948686
#>  [7170,]  4.594021e-01  6.619814e-02  0.4594020512  0.459402051
#>  [7171,]  1.548704e-01  1.548704e-01  0.1548704373  0.154870437
#>  [7172,]  4.635615e-01  4.635615e-01  0.4635615120  0.463561512
#>  [7173,]  7.030131e-01  7.030131e-01  0.7441566640  0.703013120
#>  [7174,]  1.500418e-01  4.957302e-01  0.4957301679  0.495730168
#>  [7175,]  4.634388e-01  4.761627e-01  0.4761627361  0.476162736
#>  [7176,]  5.511234e-01  5.511234e-01  0.5511233633  0.551123363
#>  [7177,]  3.186406e-02  3.186406e-02  0.0318640573  0.552693490
#>  [7178,]  6.605463e-01  9.153817e-01  0.6605462890  0.339186551
#>  [7179,]  6.155851e-01  6.155851e-01  0.6155850809  0.389304497
#>  [7180,]  2.328962e-02  5.063655e-01  0.0256767228  0.573123683
#>  [7181,]  9.947790e-02  5.826548e-01  0.5826548325  0.582654832
#>  [7182,]  6.294100e-01  6.294100e-01  0.6294100229  0.629410023
#>  [7183,]  4.108013e-01  4.108013e-01  0.4108012755  0.410801275
#>  [7184,]  5.270729e-01  5.270729e-01  0.5270729044  0.527072904
#>  [7185,] -7.107857e-02  6.884691e-01  0.6884691443  0.688469144
#>  [7186,]  7.321928e-01  7.321928e-01  0.7321927596  0.732192760
#>  [7187,]  6.657182e-01  6.657182e-01  0.6657181872  0.665718187
#>  [7188,]  4.267703e-01  4.267703e-01  0.4267702560  0.426770256
#>  [7189,] -1.978074e-01  7.310830e-01  0.7310830322  0.731083032
#>  [7190,] -4.303752e-01  4.887346e-01  0.6033699156  0.488734563
#>  [7191,]  3.992407e-01  7.323867e-01  0.7323866649  0.729190303
#>  [7192,]  3.957251e-01  5.496229e-01  0.3957250784  1.130662595
#>  [7193,]  3.609101e-01  3.609101e-01  0.3609100703  0.360910070
#>  [7194,]  5.666385e-01  5.666385e-01  0.5666385355  0.566638536
#>  [7195,]  3.807167e-01  3.807167e-01  0.3807166956  0.380716696
#>  [7196,]  5.083779e-01  5.083779e-01  0.5083779331  0.508377933
#>  [7197,]  3.925736e-01  3.925736e-01  0.3925736246  0.392573625
#>  [7198,]  5.605104e-01  5.605104e-01  0.5605104007  0.560510401
#>  [7199,]  4.612426e-01  3.328166e-01  0.3328165983  0.461242598
#>  [7200,]  4.180178e-02  5.044887e-01  0.4067248589  0.437808025
#>  [7201,]  4.028410e-01  3.477530e-01  0.4598023594  1.087610397
#>  [7202,]  4.017002e-01  4.017002e-01  0.4017001531  0.401700153
#>  [7203,]  3.889870e-01  3.889870e-01  0.3889870179  1.268000086
#>  [7204,]  4.784852e-01  4.784852e-01  0.4784852333  0.478485233
#>  [7205,] -2.656875e-01  5.956833e-01  0.5956832796  0.595683280
#>  [7206,]  4.304402e-01  7.453027e-01  0.4304402335  0.430440234
#>  [7207,]  3.254780e-01  7.565141e-01  0.3254780218  0.756514124
#>  [7208,] -7.715393e-02  1.116488e-01  0.8928928900  0.892892890
#>  [7209,]  2.185285e-01  2.938955e-01  0.2185284961  0.589029887
#>  [7210,]  6.041361e-02  4.688627e-01  0.4688627281  0.468862728
#>  [7211,]  3.675653e-01  3.675653e-01  0.3675652884  0.367565288
#>  [7212,]  2.033136e-01  8.192375e-01  0.7438253763  0.584166293
#>  [7213,]  9.826702e-02  5.492742e-01  0.5508499861  0.549274218
#>  [7214,]  2.424782e-01  5.470583e-01  0.4224702970  0.630148158
#>  [7215,]  6.166394e-03  7.277190e-01  0.5694124536  0.569412454
#>  [7216,]  2.906959e-01  3.755727e-01  0.3375167452  0.816766750
#>  [7217,]  4.426257e-01  3.290700e-01  0.4391457554  0.897688183
#>  [7218,]  4.136451e-01  3.115647e-01  0.0931605674  0.375081438
#>  [7219,]  4.124848e-01  9.862111e-02  0.5032464712  0.412484840
#>  [7220,]  1.978478e-01  3.786837e-01  0.1978477759  0.627124034
#>  [7221,]  3.779438e-01  3.081316e-01  0.3779438159  0.848772439
#>  [7222,]  3.032258e-02  4.203461e-01  0.8865326788  0.723880812
#>  [7223,]  4.564059e-01  7.353858e-01  0.4564059312  1.052842733
#>  [7224,]  2.118984e-01  7.619698e-01  0.6838797368  0.761969764
#>  [7225,]  1.370625e-01  4.242584e-01  0.4242584444  1.016500084
#>  [7226,]  6.184004e-01  6.571846e-01  0.6184004447  0.618400445
#>  [7227,]  5.075481e-01  5.075481e-01  0.5075480698  0.507548070
#>  [7228,]  6.698364e-01  1.008962e+00  0.6698364451  0.669836445
#>  [7229,]  4.975622e-01  4.975622e-01  0.4975622221  0.497562222
#>  [7230,]  4.373163e-01  4.373163e-01  0.4373163121  0.437316312
#>  [7231,]  1.725998e-01  5.359698e-01  0.1725998489  0.702564801
#>  [7232,]  5.749984e-01  5.749984e-01  0.5749984243  0.851054869
#>  [7233,]  4.257227e-01  4.257227e-01  0.4257226734  0.425722673
#>  [7234,]  6.371664e-01  6.371664e-01  0.6371663590  0.637166359
#>  [7235,]  6.200811e-01  6.200811e-01  0.6200811068  0.620081107
#>  [7236,]  4.898746e-01  4.898746e-01  0.4898746056  0.489874606
#>  [7237,]  4.059883e-01  4.059883e-01  0.4059882675  0.405988268
#>  [7238,]  5.041751e-01  5.041751e-01  0.5041751457  0.504175146
#>  [7239,]  3.831108e-01  3.831108e-01  0.3831108200  0.906745389
#>  [7240,]  4.286811e-01  4.286811e-01  0.4286811240  0.357453486
#>  [7241,] -2.819404e-02  6.103212e-01 -0.0281940352  0.777765556
#>  [7242,]  5.267797e-01  3.665057e-01  0.3665056619  1.019807995
#>  [7243,]  4.644022e-01  4.644022e-01  0.4644021589  0.799874903
#>  [7244,]  4.384297e-01  4.384297e-01  0.4384297215  0.438429722
#>  [7245,]  4.371683e-01  8.125395e-01  0.4371683078  0.437168308
#>  [7246,]  1.956383e-01  9.642915e-01  0.3724815708  0.964291532
#>  [7247,]  1.396405e-01  4.850433e-01  0.4850433380  0.833308588
#>  [7248,] -3.899067e-02  7.905180e-01 -0.0389906747  0.595992691
#>  [7249,]  9.520114e-02  9.520114e-02  0.7743197775  0.095201140
#>  [7250,]  5.034175e-01  5.034175e-01  0.5711746515  0.571174651
#>  [7251,]  5.577604e-01  5.577604e-01  0.5577604394  0.557760439
#>  [7252,]  5.343080e-01  5.343080e-01  0.5343080075  0.534308007
#>  [7253,] -1.879530e-02  6.332508e-01  0.6332507779  0.633250778
#>  [7254,]  1.955589e-01  5.983157e-01  0.5983157180  0.598315718
#>  [7255,]  1.509269e-01  7.225745e-01  0.7225745462  0.722574546
#>  [7256,]  5.991606e-01  5.991606e-01  0.5991605852  0.599160585
#>  [7257,] -8.739840e-02  3.043487e-01  0.6382508836  0.638250884
#>  [7258,] -6.260941e-02  3.915484e-01  0.5610210387  0.561021039
#>  [7259,] -2.619689e-01  1.791167e-01  0.1791166794  0.832224533
#>  [7260,] -8.853188e-02  5.089418e-01  0.4983701909  0.420179813
#>  [7261,]  5.750760e-01  5.750760e-01  0.5640691364  0.575075991
#>  [7262,]  5.557509e-01  5.557509e-01  0.5557508913  0.555750891
#>  [7263,]  3.950429e-01  6.379348e-01  0.3950428924  0.637934840
#>  [7264,]  1.184580e-01  4.526503e-01  0.4526502553  0.675728076
#>  [7265,] -1.342999e-01  6.437744e-01  0.2902479589  0.290247959
#>  [7266,] -5.890103e-02  6.713871e-01  0.6713870702  0.675225592
#>  [7267,] -1.684765e-01  6.757371e-01  0.6757370587  0.675737059
#>  [7268,]  2.570560e-02  5.749136e-01  0.5749135646  0.574913565
#>  [7269,] -1.736235e-01  2.920178e-01  0.2920178350  0.518061635
#>  [7270,]  2.052893e-01 -1.505191e-01  0.4146882830  0.566957959
#>  [7271,] -1.726965e-01 -1.202759e-01  0.0926156913  0.563279572
#>  [7272,]  1.232189e-01  6.059469e-01  0.6059469442  0.605946944
#>  [7273,] -4.597211e-02  3.568831e-01  0.3568831487  0.868414931
#>  [7274,] -7.912733e-02  5.191091e-01  0.2449979815  0.864720006
#>  [7275,]  4.294132e-01  4.294132e-01  0.5030948582  0.882699773
#>  [7276,]  2.971604e-01  5.229141e-01  0.7301226016  0.522914124
#>  [7277,] -4.558563e-02  4.696077e-01 -0.0455856299  0.822130258
#>  [7278,] -1.629858e-01  7.543653e-01  0.7543653477  0.754365348
#>  [7279,]  1.489131e-03  4.112318e-01  0.5720819125  0.783243486
#>  [7280,]  1.679642e-01  5.216841e-01  0.5216841008  0.778055921
#>  [7281,]  7.080769e-01  7.080769e-01  0.6471630508  0.708076910
#>  [7282,]  5.818755e-01  4.932985e-01  0.4932985090  0.559216264
#>  [7283,]  6.333595e-01  6.333595e-01  0.6333595350  0.633359535
#>  [7284,]  4.492814e-01  4.492814e-01  0.4492813578  0.326061436
#>  [7285,]  4.555336e-01  4.555336e-01  0.2916832796  0.455533608
#>  [7286,] -2.347844e-01  8.004836e-01  0.8004835551  0.800483555
#>  [7287,] -3.113773e-01  4.493576e-01  0.1034898264  0.835171713
#>  [7288,]  2.735383e-01  7.840912e-01  0.7840912138  1.033935889
#>  [7289,]  2.708623e-01  9.906911e-01  0.1765483105  0.632974604
#>  [7290,]  4.611628e-01  4.611628e-01  0.2290105410  0.583631088
#>  [7291,]  1.421655e-01  3.370313e-01  0.3141766979  0.666107860
#>  [7292,]  1.355258e-02  6.402652e-01  0.6218160059  0.621816006
#>  [7293,] -1.125579e-01  1.529977e-01  0.6113209366  0.551811029
#>  [7294,] -3.111977e-02  7.380218e-01  0.9311000388  0.705271933
#>  [7295,]  5.205593e-01  5.109059e-01  0.4519235575  0.622974617
#>  [7296,]  1.794649e-01  6.093585e-01  0.0991969521  0.614932018
#>  [7297,]  1.071376e-01  5.697550e-01  0.8136217541  0.813621754
#>  [7298,]  3.073023e-01  7.778403e-01  0.2203075801  0.757722101
#>  [7299,] -4.419673e-01  8.884548e-01  0.5433034394  0.888454767
#>  [7300,]  1.643956e-01  4.211344e-01  0.4211344026  0.887884881
#>  [7301,]  2.718505e-01  2.549425e-01  0.3279650840  0.928418675
#>  [7302,]  2.191075e-01  5.987207e-01  0.5987207014  0.822263491
#>  [7303,] -1.106230e-01  5.007664e-01  0.3412976609  0.550905059
#>  [7304,]  1.268152e-01  2.406710e-01  0.6987281843  0.878727558
#>  [7305,]  1.833811e-02  7.351917e-01  0.6186284962  0.575940525
#>  [7306,]  4.762917e-01  6.325551e-01  0.6325551018  0.632555102
#>  [7307,]  1.824773e-01  3.862453e-01  0.3862453311  0.386245331
#>  [7308,]  2.127904e-01  2.127904e-01  0.2127903949  0.212790395
#>  [7309,]  7.339745e-02  7.661758e-01  0.7661757880  0.766175788
#>  [7310,]  3.517991e-01  3.517991e-01  0.3517991000  0.351799100
#>  [7311,]  3.475030e-01  3.475030e-01  0.3475029513  0.347502951
#>  [7312,]  2.756667e-01  2.756667e-01  0.2756666880  0.275666688
#>  [7313,]  3.445188e-01  3.445188e-01 -0.1606963024  0.101574159
#>  [7314,]  2.974519e-01  2.974519e-01  0.4826266917  0.297451877
#>  [7315,]  6.792903e-01  4.702942e-01  0.6792902707  0.679290271
#>  [7316,]  1.877386e-01  4.885560e-01  0.3841765685  1.109923064
#>  [7317,]  1.904648e-01  1.390719e-02  0.1904647582  0.419567604
#>  [7318,] -2.383357e-01  4.342256e-01  0.2693127759  0.772919948
#>  [7319,]  2.843128e-01 -5.334619e-02  0.8291922338  0.735504837
#>  [7320,]  2.535430e-01  2.535430e-01  0.7295406175  0.729540617
#>  [7321,]  1.645805e-01  5.421997e-01  0.7036580504  0.703658050
#>  [7322,] -8.694635e-02  3.229739e-02  0.8548282112  0.854828211
#>  [7323,]  3.796479e-01  4.872172e-01  1.3361473796  0.379647922
#>  [7324,]  9.104053e-02  5.238649e-01  0.2970221049  0.781355418
#>  [7325,]  9.857687e-02  4.503578e-01  0.4503577794  1.156315980
#>  [7326,]  2.546441e-01  7.597753e-01  0.7597752542  1.267742480
#>  [7327,]  2.200139e-01  6.440240e-01  0.5579818085  0.557981808
#>  [7328,]  1.083107e-01  4.189673e-01  0.4224879899  0.750893008
#>  [7329,] -1.625507e-01 -1.625507e-01  0.4564004792  0.378639451
#>  [7330,] -8.410262e-02  5.965930e-01  0.5965929581  0.656323999
#>  [7331,]  5.025083e-01  5.025083e-01  0.5795013441  0.502508297
#>  [7332,] -3.549774e-02  4.822044e-01  0.6511843066  0.651184307
#>  [7333,]  9.045424e-01  9.045424e-01  0.9045424450  0.904542445
#>  [7334,]  5.047976e-01  5.047976e-01  0.3548371785  0.751793120
#>  [7335,]  5.740571e-01  3.789968e-01  0.1345728629  0.211059788
#>  [7336,] -2.429407e-01  7.669993e-01  0.2188326461  0.766999271
#>  [7337,]  4.941052e-01  1.109614e+00  0.1772817026  0.905413574
#>  [7338,]  7.075734e-01  3.731878e-01  0.3589345861  1.400018781
#>  [7339,]  5.857691e-02  4.838958e-01  0.5210354482  1.456806840
#>  [7340,] -2.392146e-02  5.801694e-01  0.5801694180  0.580169418
#>  [7341,]  5.182994e-01  5.182994e-01  0.5182994265  0.518299427
#>  [7342,]  4.764024e-01  4.764024e-01  0.4764024343  0.476402434
#>  [7343,]  4.693968e-01  4.693968e-01  0.4693968244  0.469396824
#>  [7344,]  6.216714e-01  6.216714e-01  0.6216714142  0.621671414
#>  [7345,]  1.679787e-01  7.783287e-01  0.1679786794  0.778328683
#>  [7346,]  5.770966e-01  5.770966e-01  0.3475463624  0.577096575
#>  [7347,] -7.230456e-02  7.649199e-01  0.7649198784  0.764919878
#>  [7348,]  3.619120e-01  4.921163e-01  0.9845547561  0.492116293
#>  [7349,]  4.709212e-01  4.649559e-01  0.6001805085  0.689403342
#>  [7350,]  3.077758e-01  5.425508e-01  0.3077758438  0.542550755
#>  [7351,]  4.673035e-02  5.156657e-01  0.5156656759  0.515665676
#>  [7352,]  1.345688e-01  6.662786e-01  0.6662786473  0.666278647
#>  [7353,]  5.149246e-01  5.966758e-01  0.5966757973  0.760247815
#>  [7354,]  3.579589e-01  6.392490e-01  0.6202075109  0.639249033
#>  [7355,]  3.947277e-01  3.247995e-01  0.4730637047  0.788928793
#>  [7356,]  2.982673e-01  2.982673e-01  0.2982672840  0.884106174
#>  [7357,]  2.979088e-01  2.979088e-01  0.2979087540  0.846728172
#>  [7358,]  2.752416e-01  5.095996e-01  0.2752416057  0.275241606
#>  [7359,]  4.195870e-01  5.270908e-01  0.7451110634  0.745111063
#>  [7360,]  5.537842e-01  5.084193e-01  0.5537842224  0.964949782
#>  [7361,]  4.974501e-01  3.985842e-01  0.3985842247  0.828905962
#>  [7362,]  1.424085e-01  7.063489e-01  0.2302412822  0.706348922
#>  [7363,]  2.591228e-01  6.479918e-01  0.6479918416  0.647991842
#>  [7364,]  4.769732e-02  3.066580e-01  0.3066579602  0.306657960
#>  [7365,]  5.686472e-01  2.545174e-01  0.5686472366  0.709028385
#>  [7366,]  4.224371e-01  5.400526e-01  0.4224370754  0.422437075
#>  [7367,]  3.754908e-01  3.754908e-01  0.3754907571  0.375490757
#>  [7368,]  4.649995e-01  7.425535e-01  0.0814757948  0.464999547
#>  [7369,]  2.195530e-01  6.628651e-01  0.3577905831  0.357790583
#>  [7370,]  1.472824e-01  7.844221e-01  0.7844220649  0.784422065
#>  [7371,]  2.443888e-01  3.958729e-01  0.1402537248  0.758025785
#>  [7372,]  2.341412e-01  6.326055e-01  0.5883273273  1.019521347
#>  [7373,]  3.717422e-01  6.738373e-01  0.6261037605  0.673837315
#>  [7374,]  4.703447e-01  6.885127e-01  0.6885127341  0.688512734
#>  [7375,]  7.179866e-01  7.179866e-01  0.7179865595  0.717986559
#>  [7376,]  5.682910e-01  2.630746e-01  0.5682910217  0.568291022
#>  [7377,]  4.794212e-01  5.158845e-01  0.4794212445  0.479421244
#>  [7378,]  4.268704e-01  4.268704e-01  0.4268703951  0.426870395
#>  [7379,] -1.646025e-01  6.764500e-01  0.6764500436  0.676450044
#>  [7380,]  1.843133e-01  7.095689e-01  0.7095689497  0.709568950
#>  [7381,]  2.452840e-01  2.452840e-01  0.2452840285  0.789917728
#>  [7382,]  3.127409e-01  5.163266e-01  0.5163265999  0.504154727
#>  [7383,] -1.757205e-01  6.715974e-01  0.4827202238  0.671597367
#>  [7384,]  1.205596e-01  1.835895e-01  0.1402851618  0.711977051
#>  [7385,]  4.750889e-01  4.750889e-01  0.4750888989  0.566956949
#>  [7386,] -1.080205e-01  6.817326e-01  0.6817326484  1.003835735
#>  [7387,]  1.358636e-01  8.765456e-01  0.6147762290  1.014980969
#>  [7388,]  2.111615e-01  3.195129e-01  0.4625856273  0.943669608
#>  [7389,]  2.035238e-01  7.931745e-01  0.5808252622  1.205237067
#>  [7390,]  2.461259e-01  9.690894e-01  0.1254321612  0.168908416
#>  [7391,] -4.168056e-01  8.569215e-01  0.3767708708  0.856921545
#>  [7392,] -2.795766e-01  1.031366e+00  0.3960634513  0.396063451
#>  [7393,]  5.395534e-01  9.932667e-01  0.5395534414  0.561296073
#>  [7394,] -1.293994e-01  5.595563e-01  0.1788074695  0.559556320
#>  [7395,]  4.984676e-01  6.397749e-01  0.5661456510  0.722381819
#>  [7396,]  3.620745e-01  7.641881e-01  0.7641881490  0.907353437
#>  [7397,]  1.265883e-01  5.318993e-01  0.6439611990  0.895574730
#>  [7398,]  4.373673e-02  4.782773e-01  0.4782772779  0.478277278
#>  [7399,]  5.810802e-02  7.446953e-01  0.7446952590  0.744695259
#>  [7400,]  6.766692e-02  6.736138e-01  0.7420163293  0.929147713
#>  [7401,]  1.119130e-01  9.135718e-01  0.5148886242  0.913571769
#>  [7402,]  4.773002e-01  5.573991e-01  0.8085476875  0.557399062
#>  [7403,]  5.470520e-01  2.172091e-01  0.5470519675  0.873003320
#>  [7404,]  8.954246e-03  6.906051e-01  0.5681695827  0.809623978
#>  [7405,]  3.120979e-01  4.093948e-01  0.8036183739  0.803618374
#>  [7406,]  3.106007e-02  9.001334e-01  0.9701281529  0.900133448
#>  [7407,]  5.266968e-01  3.039224e-01  0.4650055472  0.790653969
#>  [7408,]  4.762093e-01  5.329894e-01  0.1048447864  0.797356456
#>  [7409,] -3.220065e-01 -2.271505e-02  0.1830333935  0.960677656
#>  [7410,] -4.792134e-02  2.561046e-03  0.5534158296  0.426011706
#>  [7411,] -1.532373e-01  5.083814e-01  0.6050963062  0.538281108
#>  [7412,]  1.526960e-01  8.008422e-01  0.7333586321  0.528054945
#>  [7413,] -2.030661e-01  8.666461e-01 -0.0837475827  0.764120656
#>  [7414,]  3.335726e-01  4.994842e-01  0.3912600502  0.552013918
#>  [7415,] -1.532749e-02  3.085278e-01  0.5317288752  0.904957191
#>  [7416,]  5.990416e-01  3.893849e-01  0.8195392753  0.819539275
#>  [7417,] -3.654637e-03  6.887889e-01  0.6887889140  0.688788914
#>  [7418,] -2.710555e-02  5.391714e-01  0.2991771354  0.958575415
#>  [7419,]  4.803052e-02  6.037613e-01  0.1902860625  0.758336610
#>  [7420,]  3.767936e-02  6.192686e-01  0.6192685696  0.784373199
#>  [7421,]  4.350649e-01  5.908357e-02  0.7001134720  0.919214900
#>  [7422,]  3.036631e-02  7.739188e-01  0.3674604162  0.773918798
#>  [7423,]  4.163199e-02  6.381626e-01  0.6381625761  0.638162576
#>  [7424,]  6.725714e-01  6.725714e-01  0.7708311555  0.770831155
#>  [7425,] -3.178012e-01  8.984113e-01  0.9217177097  0.632329868
#>  [7426,]  2.251297e-01  8.859787e-01  0.2251297131  0.785957833
#>  [7427,]  3.758856e-01  7.935534e-01  0.7935533938  1.214261427
#>  [7428,]  3.220851e-01  3.220851e-01  0.5325277127  0.294907398
#>  [7429,]  1.556131e-01  5.542862e-01  0.5542861831  0.554286183
#>  [7430,]  3.798014e-01  2.342755e-01  0.6867313792  0.686731379
#>  [7431,]  2.741688e-01  3.415665e-01  0.6761302710  0.484777854
#>  [7432,]  5.915324e-01  5.915324e-01  0.8388832703  0.591532388
#>  [7433,]  5.479226e-01  5.479226e-01  0.5479226191  0.547922619
#>  [7434,]  4.062529e-01  4.062529e-01  0.4062529401  0.406252940
#>  [7435,]  7.257892e-01  6.008953e-01  0.6008953352  0.600895335
#>  [7436,]  5.622520e-01  5.622520e-01  0.5622519687  0.562251969
#>  [7437,]  6.616257e-01  6.616257e-01  0.6616257186  0.661625719
#>  [7438,]  5.611031e-01  5.611031e-01  0.5611031445  0.561103145
#>  [7439,]  4.376888e-01  4.376888e-01  0.4376887902  0.437688790
#>  [7440,]  3.599079e-01  3.599079e-01  0.3599079010  0.359907901
#>  [7441,]  3.869704e-01  3.869704e-01  0.3869703701  0.386970370
#>  [7442,]  3.981262e-01  3.981262e-01  0.3981261943  0.398126194
#>  [7443,]  2.424875e-01  2.424875e-01  0.2424875075  0.242487508
#>  [7444,]  2.241942e-01  2.241942e-01  0.2241942346  0.224194235
#>  [7445,]  4.351027e-01  6.471433e-01  0.6471433156  0.647143316
#>  [7446,]  1.993310e-01  4.420594e-01  0.4420594425  0.442059442
#>  [7447,]  4.576207e-01  4.576207e-01  0.4576207250  0.457620725
#>  [7448,]  3.186953e-01  3.186953e-01  0.3186952946  0.318695295
#>  [7449,]  4.252446e-01  4.252446e-01  0.4252445670  0.443296112
#>  [7450,]  2.795769e-01  3.603622e-01  0.2795769001  0.279576900
#>  [7451,]  1.827742e-01  1.827742e-01  0.1827741602  0.331434018
#>  [7452,]  2.532426e-01  6.595261e-01  0.6595260927  0.659526093
#>  [7453,]  4.347945e-01  3.996696e-01  0.4347945003  0.434794500
#>  [7454,]  6.307654e-01  6.307654e-01  0.6307653742  0.630765374
#>  [7455,]  6.765997e-01  6.765997e-01  0.6765996764  0.723010634
#>  [7456,] -1.994526e-01  5.256924e-01  0.7125094585  0.712509459
#>  [7457,]  1.860218e-01  7.033453e-01  0.7033452660  0.703345266
#>  [7458,]  6.719997e-02  5.045228e-01  0.5045227720  0.867714352
#>  [7459,]  4.346390e-01  2.716023e-01  0.2716022705  0.734824782
#>  [7460,]  4.134751e-01  4.134751e-01  0.4134750838  0.834554275
#>  [7461,]  2.842858e-01  5.285179e-01  0.5780582672  1.074531694
#>  [7462,]  2.972659e-01  5.304156e-01  0.2972658651  0.530415602
#>  [7463,]  2.219301e-01  3.789864e-01  0.3789864017  0.351386524
#>  [7464,]  4.082295e-01  3.600073e-01  0.6746804543  0.674680454
#>  [7465,]  2.355098e-01  4.084995e-01  0.4084994573  0.361025132
#>  [7466,]  1.614729e-01  1.771682e-01  0.5439221078  0.419475361
#>  [7467,]  5.837660e-01  1.710565e-01  0.8927498632  0.892749863
#>  [7468,]  5.164474e-01  5.273459e-01  0.5164474400  0.516447440
#>  [7469,]  5.379086e-02  4.704258e-01  0.3719154661  0.470425805
#>  [7470,]  5.367116e-02  4.833555e-01  0.4038769626  0.383010075
#>  [7471,]  2.821595e-01  5.123020e-01  0.5123020106  0.464630130
#>  [7472,]  3.653437e-01  7.258023e-01  0.3653437075  0.365343708
#>  [7473,]  3.053335e-01  5.283315e-01  0.5283315352  0.305333474
#>  [7474,]  4.790493e-01  4.790493e-01  0.4790493365  0.479049337
#>  [7475,]  4.274209e-01  4.274209e-01  0.4274208701  0.427420870
#>  [7476,]  6.626845e-01  6.626845e-01  0.6626844707  0.662684471
#>  [7477,] -4.819329e-02  6.317138e-01  0.6317137851  0.631713785
#>  [7478,]  1.907434e-02  6.911572e-01  0.6911572113  0.574888262
#>  [7479,]  8.153109e-02  6.943025e-01  0.6267397345  0.626739734
#>  [7480,]  2.613029e-02  9.311397e-01  0.7510451396  0.923264232
#>  [7481,] -1.567381e-02  4.936808e-01  0.4936807603  0.493680760
#>  [7482,] -1.769372e-01  4.914939e-01  0.5878760763  0.587876076
#>  [7483,] -7.805929e-02  3.319111e-01  0.3319111120  0.305849483
#>  [7484,]  1.601109e-01  5.994389e-01  0.5994389488  0.331840101
#>  [7485,]  3.166773e-01  5.309252e-01  0.3166772922  0.716851883
#>  [7486,]  3.703000e-01  4.730173e-01  0.3703000279  1.003632350
#>  [7487,]  4.788365e-01  8.015778e-01  0.4788364548  0.775576655
#>  [7488,] -2.196358e-01  4.220409e-01  0.4220409058  1.173374940
#>  [7489,]  1.761943e-01  8.005928e-01  0.8005928299  1.070723641
#>  [7490,] -1.916306e-01  7.912899e-01  0.7912898817  0.324607293
#>  [7491,]  1.212417e-01  4.177091e-01  0.8020810169  0.802081017
#>  [7492,]  2.798238e-01  6.925961e-01  0.6925960854  0.692596085
#>  [7493,]  3.116244e-01  5.727463e-01  0.5727463303  0.572746330
#>  [7494,]  3.463369e-01  6.580175e-01  0.6580174752  0.658017475
#>  [7495,] -9.030519e-02  7.992827e-01  0.7992827065  0.799282707
#>  [7496,] -2.204523e-01  6.370878e-01  0.6370877563  0.637087756
#>  [7497,] -2.927016e-02  6.375018e-01  0.6375017667  0.637501767
#>  [7498,]  4.691519e-02  4.800076e-01  0.4800076469  0.480007647
#>  [7499,]  7.108885e-02  5.396717e-01  0.5101631943  0.539671690
#>  [7500,]  1.602156e-01  7.728619e-01  0.7728618596  0.711875980
#>  [7501,]  5.667336e-01  4.237326e-01  0.4237326280  0.839785350
#>  [7502,]  3.674435e-01  3.674435e-01  0.5536144855  0.553614486
#>  [7503,]  1.270043e-01  7.457125e-01  0.7457125131  0.745712513
#>  [7504,] -9.979402e-02  6.383196e-01  0.7057551377  0.638319604
#>  [7505,]  2.153502e-01  6.930944e-01  0.2153501711  0.693094411
#>  [7506,]  1.295935e-01  6.342744e-01  0.6508300484  0.823302914
#>  [7507,]  1.457748e-01  4.805770e-01  0.4805769991  0.480576999
#>  [7508,]  3.575743e-01  3.575743e-01  0.3575742788  0.357574279
#>  [7509,]  2.080198e-01  2.080198e-01  0.2080198426  0.208019843
#>  [7510,]  6.711662e-02  6.711662e-02  0.5776541640  0.577654164
#>  [7511,]  4.519433e-01  4.519433e-01  0.4519432839  0.451943284
#>  [7512,]  4.740920e-01  4.740920e-01  0.4740920302  0.474092030
#>  [7513,]  6.170224e-01  6.170224e-01  0.6170224007  0.617022401
#>  [7514,] -4.805906e-01  1.810390e-01  0.6510273359  0.845927980
#>  [7515,]  3.781437e-01  3.781437e-01  0.4112380052  0.411238005
#>  [7516,]  7.356257e-01  7.356257e-01  0.7356257261  0.735625726
#>  [7517,]  5.458359e-01  5.458359e-01  0.5458358587  0.545835859
#>  [7518,]  4.320221e-01  4.320221e-01  0.4320220784  0.432022078
#>  [7519,]  4.091919e-01  4.091919e-01  0.4091919424  0.409191942
#>  [7520,]  3.315383e-01  3.315383e-01  0.6312485568  0.331538291
#>  [7521,]  1.560640e-01  4.020261e-01  0.8298673931  0.402026118
#>  [7522,]  5.151455e-01  2.077661e-01  0.5151454850  0.515145485
#>  [7523,]  7.640687e-01  5.729356e-01  0.5729355518  0.764068740
#>  [7524,] -2.852747e-01  7.842325e-01  0.7842325064  0.784232506
#>  [7525,]  6.896372e-01  6.896372e-01  0.6896371845  0.689637185
#>  [7526,]  3.647460e-01  4.420015e-01  0.3647460432  0.634300535
#>  [7527,]  2.524115e-01  4.938800e-01  0.4938799969  0.584258143
#>  [7528,]  3.560835e-01  2.792003e-01  0.2792003402  0.763410311
#>  [7529,]  2.189862e-01  3.467636e-01  0.3467635885  1.108683047
#>  [7530,]  3.901557e-01  6.987191e-01  0.9078705180  0.907870518
#>  [7531,]  5.203924e-01  5.203924e-01  0.5203924203  1.065583795
#>  [7532,] -1.719947e-03  6.954070e-01  0.7781994443  0.695406975
#>  [7533,]  2.828151e-01  6.321446e-01  0.6321445738  0.632144574
#>  [7534,]  3.184183e-01  5.520354e-01  0.5520353670  0.552035367
#>  [7535,]  5.658245e-01  5.658245e-01  0.5658244601  0.565824460
#>  [7536,]  3.341454e-01  3.341454e-01  0.3341454210  0.334145421
#>  [7537,]  3.883593e-01  3.883593e-01  0.3883593174  0.388359317
#>  [7538,]  3.420381e-01  3.420381e-01  0.0661189475  0.342038053
#>  [7539,]  3.074082e-01  1.785622e-01  0.3074082109  0.307408211
#>  [7540,]  1.985308e-01  1.985308e-01  0.1985308495  1.149146131
#>  [7541,]  1.936963e-01  4.937266e-01  0.1936963122  0.493726582
#>  [7542,]  3.692514e-01  4.527568e-01  0.4025496449  0.452756774
#>  [7543,]  3.548090e-01  3.548090e-01  0.3548089608  0.797545997
#>  [7544,]  2.140346e-01  6.510733e-01  0.1357742554  0.609380218
#>  [7545,] -3.830694e-03  7.551343e-01  0.7551886428  0.755188643
#>  [7546,] -7.288439e-02  6.193024e-01  0.6193024149  0.619302415
#>  [7547,]  4.487759e-01  1.608169e-02  0.4487758805  0.581593236
#>  [7548,]  4.509092e-01  6.337419e-01  0.6337418741  0.633741874
#>  [7549,]  4.385592e-01  4.385592e-01  0.4385591965  0.579214354
#>  [7550,]  1.929153e-01  1.929153e-01  0.7451970368  0.531270123
#>  [7551,]  5.133922e-01  5.133922e-01  0.4793908447  0.304837304
#>  [7552,]  3.242783e-01  3.242783e-01  0.3242782544  1.091209534
#>  [7553,]  4.377313e-01  4.377313e-01  0.4377312913  1.049426780
#>  [7554,]  5.684952e-01  5.684952e-01  0.5684951801  0.564054368
#>  [7555,]  2.960004e-01  5.779762e-01  0.5081324626  0.508132463
#>  [7556,]  1.945351e-02  1.945351e-02  0.6908027383  0.019453507
#>  [7557,]  3.579990e-01  1.027403e+00  0.2222008839  1.027403488
#>  [7558,]  2.361648e-01  2.361648e-01  0.5440821599  1.132098985
#>  [7559,]  6.491097e-01  4.225456e-01  0.6491097365  0.649109737
#>  [7560,]  3.881866e-01  4.398463e-01  0.3881865593  0.388186559
#>  [7561,]  4.375337e-01  6.937888e-01  0.4375336519  0.693788751
#>  [7562,] -1.080884e-01  7.890008e-01  0.7890007861  0.689648849
#>  [7563,]  9.619022e-02  7.904996e-01  0.7904995921  0.790499592
#>  [7564,]  7.312640e-02  5.626516e-01  0.5626515707  0.562651571
#>  [7565,]  3.808053e-01  5.845579e-01  0.5845578905  0.584557890
#>  [7566,]  3.815004e-01  3.815004e-01  0.3815004390  0.381500439
#>  [7567,]  4.669143e-01  4.669143e-01  0.4669143036  0.466914304
#>  [7568,]  3.939679e-01  5.747170e-01  0.5747169733  0.393967927
#>  [7569,]  7.202327e-01  2.590225e-01  0.7202326821  0.720232682
#>  [7570,]  2.712854e-01  5.430641e-01  0.5430640724  0.543064072
#>  [7571,]  1.678929e-01  6.929587e-01  0.6929586890  0.692958689
#>  [7572,]  3.042106e-01  3.429069e-01  0.3042106391  0.304210639
#>  [7573,]  3.073402e-01  3.073402e-01  0.3073401521  0.466272232
#>  [7574,]  4.253486e-01  4.253486e-01  0.4253485846  0.656782038
#>  [7575,]  3.847542e-01  3.847542e-01  0.5900021855  0.590002186
#>  [7576,] -9.034137e-02  7.634542e-01  0.7634541997  0.763454200
#>  [7577,] -4.161965e-02  3.450345e-01  0.7868710890  0.708924224
#>  [7578,]  2.202474e-02  4.630829e-01  0.7802461220  0.780246122
#>  [7579,]  5.708803e-01  6.392813e-01  0.6392812547  0.566420636
#>  [7580,]  5.386104e-01  5.790396e-01  0.6875037503  0.538610355
#>  [7581,]  4.205643e-01  4.205643e-01  0.6885752364  0.420564321
#>  [7582,]  1.328556e-01  6.806262e-01  0.1199738688  0.731012596
#>  [7583,]  1.787939e-01  1.051061e+00  0.7255115182  0.842817132
#>  [7584,] -1.386204e-01  9.053522e-01  0.1631541196  0.905352224
#>  [7585,]  3.945620e-01  3.945620e-01  0.7329588275  1.025360489
#>  [7586,]  4.632396e-01  4.632396e-01  1.1212068176  1.121206818
#>  [7587,]  4.848733e-01  6.507628e-01  0.6507628491  0.484873309
#>  [7588,]  2.905733e-01  2.905733e-01  0.2905732623  0.290573262
#>  [7589,]  5.735244e-01  5.735244e-01  0.5735244339  0.965482296
#>  [7590,]  3.291402e-01  3.291402e-01  0.3291402222  0.969854929
#>  [7591,]  5.055886e-01  9.548495e-01  0.5055886010  0.505588601
#>  [7592,]  6.886306e-01  6.886306e-01  0.8480132512  0.688630550
#>  [7593,]  3.184829e-01  7.130272e-01  0.3931731829  0.393173183
#>  [7594,]  1.775702e-01  6.126586e-01 -0.1717079068  0.612658643
#>  [7595,]  4.142202e-01  6.168381e-01  0.6168380549  0.616838055
#>  [7596,]  5.642981e-01  5.642981e-01  0.5642980838  0.564298084
#>  [7597,]  2.294206e-02  5.338573e-01  0.5338572535  0.533857254
#>  [7598,]  6.484258e-01  1.078668e+00  0.5031452277  1.078668306
#>  [7599,]  8.019169e-01  2.242731e-01  0.8019169213  0.732567992
#>  [7600,] -3.017926e-01  5.899386e-01  0.5075343490  1.009649032
#>  [7601,] -4.558839e-04  8.179099e-01  0.5437148135  0.673865998
#>  [7602,]  2.899490e-01  5.990035e-01  0.5990035108  0.599003511
#>  [7603,]  4.697658e-01  4.697658e-01  0.4697658265  0.469765827
#>  [7604,]  4.772297e-01  4.772297e-01  0.4772297018  0.477229702
#>  [7605,]  5.635217e-01  5.635217e-01  0.5635217427  0.563521743
#>  [7606,]  4.960840e-01  4.960840e-01  0.4960840287  0.496084029
#>  [7607,]  4.733055e-01  4.733055e-01  0.4733055128  0.473305513
#>  [7608,]  6.890190e-01  6.603998e-01  0.6603997592  0.689019013
#>  [7609,]  3.294813e-01  6.464210e-01  0.5339250160  0.533925016
#>  [7610,]  4.123902e-01  4.123902e-01  0.4123902341  0.412390234
#>  [7611,]  4.924647e-01  4.611093e-01  0.4611093278  0.461109328
#>  [7612,]  6.281022e-01  6.281022e-01  0.6281021905  0.731897420
#>  [7613,]  1.267202e-01  6.235802e-01  0.6235802018  0.623580202
#>  [7614,]  1.360208e-01  1.360208e-01  0.7647374286  0.764737429
#>  [7615,]  1.307362e-01  2.135913e-01  0.4147027705  0.515338100
#>  [7616,]  9.179009e-03  6.438044e-01  0.2687700578  0.268770058
#>  [7617,] -2.232091e-01  6.945848e-01  0.6945848168  0.489761483
#>  [7618,]  3.509314e-01  1.863004e-01  0.7328647475  0.588990288
#>  [7619,]  4.956230e-01  4.956230e-01  0.6729472028  0.788767544
#>  [7620,]  2.670411e-01  4.110309e-01  0.6065487695  0.606548769
#>  [7621,]  1.660359e-01  6.299742e-01  0.6299741595  0.629974160
#>  [7622,]  1.219741e-01  6.525843e-01  0.6525843449  0.450638384
#>  [7623,]  6.888704e-01  6.888704e-01  0.6888703944  0.688870394
#>  [7624,]  7.478077e-01  7.478077e-01  0.7478077480  0.747807748
#>  [7625,] -4.027769e-02  5.904911e-01  0.5904911323  0.590491132
#>  [7626,]  3.317389e-01  3.317389e-01  0.6835661829  0.683566183
#>  [7627,]  4.310656e-01  4.310656e-01  0.6074959901  0.607495990
#>  [7628,]  2.615952e-02  5.834505e-01  0.5834504737  0.583450474
#>  [7629,]  5.415103e-02  8.416158e-01  0.8416157714  0.841615771
#>  [7630,]  2.748954e-02 -1.317763e-01 -0.1317763216  1.077671127
#>  [7631,]  1.602729e-01  4.832638e-01  0.1602729357  0.483263760
#>  [7632,]  3.247510e-01  2.798503e-01  0.2724645815  0.324750959
#>  [7633,]  3.925577e-01  3.925577e-01  0.4747449693  0.392557749
#>  [7634,]  1.869613e-01  3.789999e-01  0.3789999316  0.569219150
#>  [7635,]  1.927357e-01  2.074824e-01  0.3920210943  0.392021094
#>  [7636,]  1.053703e-01  4.080014e-01  0.4374120862  0.105370339
#>  [7637,]  3.092717e-01  8.999696e-01  0.8999695554  0.899969555
#>  [7638,]  3.976278e-01  6.935444e-01  0.1442715085  0.693544357
#>  [7639,]  4.164548e-01  4.164548e-01  0.4164548439  0.914733054
#>  [7640,]  3.996270e-01  3.996270e-01  0.3996270280  0.399627028
#>  [7641,]  4.079720e-01  1.063936e+00  0.4079720169  0.407972017
#>  [7642,]  2.622558e-01  2.622558e-01  0.2622557718  0.262255772
#>  [7643,]  5.191227e-01  5.191227e-01  0.5191226778  0.519122678
#>  [7644,]  3.646180e-01  3.646180e-01  0.3646180359  0.474845190
#>  [7645,]  3.979750e-01  7.924402e-01  0.3979749547  0.792440162
#>  [7646,]  2.461488e-01  7.322991e-01  0.4785972384  0.617775060
#>  [7647,]  2.411640e-01  8.569154e-01  0.5305466425  0.993333107
#>  [7648,]  5.071882e-01  2.256547e-01  0.5566426610  0.858378401
#>  [7649,] -1.640566e-02  4.936089e-01  0.4936088845  0.843174906
#>  [7650,] -8.459034e-02  4.596838e-01  0.4886623380  0.582404623
#>  [7651,]  1.171542e-01  5.335970e-01  0.5322867412  0.265433334
#>  [7652,]  5.014481e-01  2.236983e-01  0.3531499731  0.123303626
#>  [7653,]  4.523148e-01  1.146424e-01  0.3283327460  0.491402640
#>  [7654,]  9.280945e-02  3.960773e-01  0.6653273893  0.632433194
#>  [7655,]  2.637640e-01  3.811652e-01  0.8087435126  0.741646028
#>  [7656,]  4.895010e-01  5.400310e-01  0.4895010390  0.375573769
#>  [7657,]  4.682755e-01  4.885396e-01  0.4682754771  0.388793744
#>  [7658,]  5.086891e-01  4.155431e-01  0.4155431406  0.508689106
#>  [7659,]  1.864171e-01  3.674070e-01  0.1864171375  0.620234377
#>  [7660,]  4.585457e-01  2.914896e-02  0.4833813931  1.066298843
#>  [7661,] -2.265245e-01  5.758182e-01  0.6649224119  0.972654671
#>  [7662,]  1.253943e-01  1.253943e-01  0.5424877457  0.422482319
#>  [7663,]  4.422928e-01  5.192269e-01  0.5192268941  0.519226894
#>  [7664,]  5.705409e-01  5.088088e-01  0.5705408674  0.570540867
#>  [7665,]  3.673313e-01  6.265326e-01  0.6265325925  0.626532592
#>  [7666,]  4.582783e-01  4.582783e-01  0.2073820765  0.458278306
#>  [7667,]  5.421164e-01  5.421164e-01  0.5421163912  0.542116391
#>  [7668,]  5.827392e-01  5.827392e-01  0.5827391844  0.582739184
#>  [7669,]  6.796993e-01  6.796993e-01  0.6796992869  0.679699287
#>  [7670,]  3.973570e-01  3.973570e-01  0.3973569692  0.397356969
#>  [7671,]  4.878222e-01  4.878222e-01  0.4878222423  0.487822242
#>  [7672,]  4.812118e-01  4.812118e-01  0.4812118420  0.481211842
#>  [7673,]  4.793323e-01  4.793323e-01  0.4793322557  0.479332256
#>  [7674,]  5.673553e-01  5.673553e-01  0.5673553321  0.567355332
#>  [7675,]  4.124719e-01  7.382550e-01  0.7382549557  0.412471932
#>  [7676,]  2.035281e-01  6.517718e-01  0.6712778196  0.651771778
#>  [7677,]  3.415146e-01  3.175049e-01  0.5674257876  0.736309581
#>  [7678,]  2.013049e-01  2.013049e-01  0.3994003065  0.798018021
#>  [7679,] -9.221841e-02  7.068170e-01  0.4518767716  0.722624312
#>  [7680,] -2.442418e-01  4.981864e-01  0.7462761732  0.939229893
#>  [7681,]  4.823279e-01  7.849878e-01  0.4823279406  0.894432847
#>  [7682,] -5.903422e-02  4.754874e-01  0.4754874185  0.475487419
#>  [7683,]  1.450140e-01  4.893155e-01  0.4893154504  0.345731294
#>  [7684,] -1.231216e-01  3.394837e-01  0.6135775070  0.613577507
#>  [7685,]  9.109083e-02  4.201631e-01  0.6336227958  0.420163060
#>  [7686,]  7.992675e-02  4.911315e-01  0.7768973825  0.546632201
#>  [7687,]  6.851049e-01  8.712356e-01  0.6851048562  0.685104856
#>  [7688,]  3.766806e-01  3.766806e-01  0.7255369906  0.725536991
#>  [7689,]  3.562596e-01  7.308924e-01  0.7308924215  0.730892421
#>  [7690,]  2.787336e-01  2.787336e-01  0.2787335617  0.278733562
#>  [7691,]  5.754825e-01  5.754825e-01  0.5754824771  0.575482477
#>  [7692,]  5.715324e-01  5.715324e-01  0.5715323826  0.571532383
#>  [7693,]  3.483931e-01  4.024039e-01  0.3483930919  0.348393092
#>  [7694,]  4.445742e-01  4.033233e-01  0.5259357598  0.444574166
#>  [7695,]  2.106388e-01  4.712872e-01  0.4712872466  0.534233866
#>  [7696,]  3.117604e-01  7.463392e-01  0.7463392091  0.746339209
#>  [7697,]  7.230283e-02  7.544363e-01  0.2323061938  1.121386701
#>  [7698,] -1.657083e-02  7.316595e-01  0.7316594939  0.731659494
#>  [7699,]  1.721772e-01  3.895535e-01 -0.0687722504  0.484452266
#>  [7700,]  5.180857e-01  5.943611e-01  0.5943611285  0.594361128
#>  [7701,]  3.285056e-01  2.318615e-01  0.3285056063  0.328505606
#>  [7702,]  2.291605e-02  1.795875e-01  0.0846080263  0.864592165
#>  [7703,]  1.335512e-01  1.335512e-01  0.7312504103  0.516423184
#>  [7704,]  2.099177e-01  2.153971e-01  0.4055826534  0.685514905
#>  [7705,]  2.276955e-01  1.629270e-01  0.3292821318  0.916241722
#>  [7706,]  3.994941e-01  3.994941e-01  0.3994941049  0.813790141
#>  [7707,]  5.033199e-02  7.871515e-01  0.4421269652  0.787151499
#>  [7708,]  3.754350e-01  3.754350e-01  0.3754350300  0.689055742
#>  [7709,]  5.616060e-01  5.616060e-01  0.5616060099  0.604720837
#>  [7710,]  4.250454e-01  5.561621e-01  0.5561621096  0.556162110
#>  [7711,]  7.362677e-01  7.362677e-01  0.7362676855  0.608744973
#>  [7712,]  1.581174e-01  6.112491e-01  0.8770121737  0.877012174
#>  [7713,]  3.179328e-01  3.981421e-01  0.3981420796  0.795143150
#>  [7714,]  3.610220e-01  3.351349e-01  0.5012174429  0.798560759
#>  [7715,]  5.383091e-01  5.294520e-01  0.5294519640  0.798253990
#>  [7716,]  1.430010e-02  7.434030e-01  0.1206249151  0.743403034
#>  [7717,]  2.131703e-01  2.131703e-01  0.6855554200  0.677138323
#>  [7718,] -2.833324e-01  7.379625e-01  0.6657666354  0.765081863
#>  [7719,]  2.428822e-01  5.938525e-01  0.5938525022  0.633153074
#>  [7720,] -3.687551e-01  1.486148e-01  0.3843514416  0.384351442
#>  [7721,]  5.669973e-01  5.669973e-01  0.5450505044  0.566997336
#>  [7722,]  5.661844e-01  5.661844e-01  0.2622903190  0.874117365
#>  [7723,] -2.476988e-02  7.450544e-01  0.1935318676  0.745054428
#>  [7724,]  3.167273e-01  3.167273e-01  0.3167272691  0.865588596
#>  [7725,] -4.211977e-01  2.772187e-01  0.2772186970  0.891067119
#>  [7726,]  4.539785e-01  4.539785e-01  0.4539785330  0.831831561
#>  [7727,]  3.454835e-01  3.454835e-01  0.3454835454  0.766558974
#>  [7728,]  2.416934e-01  2.416934e-01  0.2416933859  1.162884799
#>  [7729,]  2.458135e-01  2.458135e-01  0.3624097823  0.245813477
#>  [7730,]  5.959723e-01  3.738507e-01  0.5959723465  0.373850656
#>  [7731,]  3.068407e-01  3.068407e-01  0.3068407086  0.306840709
#>  [7732,]  4.668359e-01  4.668359e-01  0.4668359451  0.466835945
#>  [7733,]  3.418105e-01  3.418105e-01  0.2179555255  0.341810539
#>  [7734,]  3.429373e-01  3.429373e-01  0.3429373415  0.342937341
#>  [7735,]  5.592575e-01  5.592575e-01  0.5592574732  0.559257473
#>  [7736,]  4.630132e-01  4.630132e-01  0.2635883531  0.263588353
#>  [7737,] -1.630959e-01  5.775560e-01  0.5775559544  0.577555954
#>  [7738,]  5.758491e-01  5.758491e-01  0.6008786020  0.600878602
#>  [7739,]  4.690004e-01  4.690004e-01  0.4690004157  0.469000416
#>  [7740,]  6.349027e-01  6.349027e-01  0.6349027327  0.634902733
#>  [7741,]  3.145447e-01  3.145447e-01  0.3145447383  0.314544738
#>  [7742,]  1.831195e-01  1.831195e-01  0.1831194641  0.368005029
#>  [7743,]  2.190655e-02  8.219964e-01  0.8219964013  0.821996401
#>  [7744,]  1.217733e-01  6.801465e-01  0.6801465247  0.680146525
#>  [7745,]  2.077248e-01  6.547817e-01  0.5302347240  0.654781688
#>  [7746,]  4.950373e-02  6.838467e-01  0.6838466940  0.697877959
#>  [7747,]  2.710069e-01  4.199965e-01  0.5396281919  0.539628192
#>  [7748,]  2.817385e-01  2.034883e-01  0.5850874846  0.297961421
#>  [7749,]  7.693397e-01  7.713586e-01  0.9184197921  0.918419792
#>  [7750,]  3.527861e-01  6.131200e-01  0.1485677897  0.352786087
#>  [7751,]  1.030685e-01  3.554624e-01  0.7193682173  0.719368217
#>  [7752,]  4.126567e-01  7.383177e-01  0.4126566891  0.738317666
#>  [7753,]  4.224649e-01  4.224649e-01  0.4224648627  0.422464863
#>  [7754,]  2.501382e-01  2.501382e-01  0.2501382033  0.250138203
#>  [7755,] -1.461077e-01  8.314390e-01  0.9007405648  0.719689064
#>  [7756,]  3.237372e-01  5.011801e-01  0.3237372215  0.323737222
#>  [7757,]  5.318476e-01  5.318476e-01  0.5318475955  0.531847596
#>  [7758,]  6.200180e-01  2.552667e-01  0.6200179978  0.620017998
#>  [7759,]  3.964928e-02  7.828842e-01  0.7828842051  0.782884205
#>  [7760,]  8.351709e-02  8.351709e-02  0.5474976277  0.547497628
#>  [7761,]  2.133908e-01  6.700857e-01  0.6700856662  0.670085666
#>  [7762,] -8.897879e-02  7.914985e-01  0.7914985375  0.791498537
#>  [7763,]  5.133220e-01  5.133220e-01  0.7009821580  0.513321965
#>  [7764,]  4.683873e-01  4.683873e-01  0.7085093582  0.468387319
#>  [7765,]  4.895154e-01  4.895154e-01  1.0556734065  1.082598275
#>  [7766,]  4.042715e-01  4.042715e-01  0.4042715472  0.404271547
#>  [7767,]  2.722661e-01  2.722661e-01  0.2722661179  0.272266118
#>  [7768,]  5.299038e-01  5.299038e-01  0.5299037517  0.529903752
#>  [7769,]  4.314700e-01  4.314700e-01  0.4314699974  0.431469997
#>  [7770,]  4.138530e-01  4.138530e-01  0.6572131980  0.657213198
#>  [7771,]  4.746686e-01  4.746686e-01  0.5775834676  0.474668649
#>  [7772,]  6.078058e-01  6.204029e-01  0.4861943891  0.607805824
#>  [7773,]  4.077297e-01  4.643337e-01  0.4077296984  0.464333727
#>  [7774,]  7.050129e-01  3.866859e-01  0.5090390384  0.386685857
#>  [7775,]  3.665397e-01  4.688747e-01  0.4688746704  0.366539684
#>  [7776,]  6.151871e-01  3.537620e-01  0.6151870602  0.615187060
#>  [7777,]  2.634883e-01  4.116228e-01  0.4116228195  0.411622820
#>  [7778,]  4.557557e-01  4.557557e-01  0.4557557225  0.455755722
#>  [7779,]  4.758978e-01  4.758978e-01  0.4758977743  0.475897774
#>  [7780,]  3.736300e-01  7.864781e-01  0.7864781319  0.786478132
#>  [7781,]  4.413421e-01  4.413421e-01  0.4413421012  0.441342101
#>  [7782,]  2.981772e-01  2.981772e-01  0.2981771757  0.298177176
#>  [7783,]  4.242460e-01  4.242460e-01  0.4242459928  0.424245993
#>  [7784,]  3.575416e-01  3.575416e-01  0.3575416322  0.357541632
#>  [7785,]  2.408322e-01  2.408322e-01  0.2408321763  0.240832176
#>  [7786,]  6.350090e-01  6.350090e-01  0.6350089937  0.635008994
#>  [7787,]  4.104058e-01  4.104058e-01  0.4104057658  0.410405766
#>  [7788,]  3.484559e-01  6.509883e-01  0.3484559054  0.650988350
#>  [7789,]  4.578138e-01  4.578138e-01  0.4578138472  0.457813847
#>  [7790,]  6.037141e-01  6.037141e-01  0.5229654845  0.603714093
#>  [7791,] -1.201920e-01  7.031800e-01  0.7031800270  0.703180027
#>  [7792,]  4.644820e-01  4.644820e-01  0.4644819750  0.341935746
#>  [7793,]  6.026111e-01  6.026111e-01  0.6026111118  0.501154907
#>  [7794,]  3.343529e-01  6.777749e-01  0.7993430029  0.799343003
#>  [7795,]  3.351004e-01  3.351004e-01  0.3351003660  0.335100366
#>  [7796,]  3.011667e-01  3.011667e-01  0.3011666884  0.301166688
#>  [7797,]  5.678299e-01  5.678299e-01  0.5678298828  0.567829883
#>  [7798,]  5.791602e-01  5.791602e-01  0.5791601532  0.579160153
#>  [7799,]  3.860466e-01  3.860466e-01  0.3860466471  1.001540432
#>  [7800,]  4.497217e-01  4.497217e-01  0.4497216718  0.449721672
#>  [7801,]  4.210212e-01  4.210212e-01  0.4210212341  0.421021234
#>  [7802,] -2.831130e-01  4.667862e-01  0.4667862424  0.764607923
#>  [7803,]  5.475640e-01  5.475640e-01  0.4053353920  0.405335392
#>  [7804,]  1.629945e-01  5.064708e-01  0.3950524016  0.892524100
#>  [7805,]  2.115467e-01  6.994959e-01  0.6994959170  0.711559555
#>  [7806,]  9.945402e-02  5.772488e-01  0.0994540189  0.617660697
#>  [7807,] -1.659676e-01  2.568158e-01  0.5772241625  0.436605950
#>  [7808,] -3.373967e-01  4.420633e-01  0.4420632952  0.540307452
#>  [7809,]  2.099121e-01  2.099121e-01 -0.3611644636  0.411945009
#>  [7810,]  3.054453e-01  3.383027e-01  0.0184102624  0.489285913
#>  [7811,]  2.119920e-01  7.121916e-01  0.7340108696  0.734010870
#>  [7812,]  2.891185e-01  5.444929e-01  0.5444928667  0.711482994
#>  [7813,]  5.207589e-01  5.070914e-01  0.5207588603  0.520758860
#>  [7814,]  6.082417e-01  3.875890e-01  0.3875890487  0.634596613
#>  [7815,]  5.479225e-01  5.479225e-01  0.5479225423  0.547922542
#>  [7816,]  3.764642e-01  3.764642e-01  0.3764641531  0.376464153
#>  [7817,]  2.521891e-01  2.521891e-01  0.2521891053  1.014971909
#>  [7818,]  1.702797e-01  1.702797e-01  0.1702797353  0.756585451
#>  [7819,]  3.552041e-01  3.959990e-01  0.3552040998  0.355204100
#>  [7820,]  4.580504e-01  8.527548e-01  0.4580504065  0.458050407
#>  [7821,]  1.547788e-01  1.547788e-01  0.1547788247  0.154778825
#>  [7822,]  3.865194e-01  3.865194e-01  0.3865194277  0.386519428
#>  [7823,]  3.509117e-01  3.509117e-01  0.3509117144  0.808406167
#>  [7824,]  2.209748e-01  2.209748e-01  0.8696613970  0.869661397
#>  [7825,]  4.568085e-01  4.294215e-01  0.4294214566  0.429421457
#>  [7826,]  5.710509e-01  5.718934e-01  0.5718933901  0.571050941
#>  [7827,]  5.561709e-01  7.086274e-01  0.5561709371  0.556170937
#>  [7828,]  1.223004e-01  4.319171e-01  0.4319171040  1.100408019
#>  [7829,]  7.951624e-02  4.998941e-01  0.4998941392  0.499894139
#>  [7830,]  1.422384e-01  5.284555e-01  0.6394656284  0.748620398
#>  [7831,]  4.997181e-01  7.094530e-01  0.4554636553  0.449391734
#>  [7832,] -1.287768e-02  6.114525e-01 -0.0128776772  0.503995445
#>  [7833,]  6.600472e-01  6.582208e-01  0.6600472012  0.414981003
#>  [7834,] -3.784347e-02  4.171623e-01  0.9205072962  1.205666490
#>  [7835,]  2.147637e-01  6.429010e-01  0.2147637274  0.642900969
#>  [7836,]  6.631041e-01  6.631041e-01  0.5363361520  0.663104093
#>  [7837,]  2.395663e-01  2.666593e-01  0.2599295952  0.259929595
#>  [7838,]  3.436012e-01  4.203009e-01  0.4203009216  0.420300922
#>  [7839,] -8.411241e-02  3.406323e-01  0.6994912896  0.699491290
#>  [7840,]  2.869336e-01  6.341843e-01  0.6341843086  0.713596099
#>  [7841,]  2.747686e-01  6.491568e-01  0.6209489984  0.649156835
#>  [7842,]  3.206233e-01  3.758442e-01  0.3206232731  0.867662201
#>  [7843,] -1.883722e-01  4.917631e-01  0.4958545005  0.936114734
#>  [7844,]  9.422700e-02  6.546328e-01  0.3247210796  0.898966427
#>  [7845,]  1.349038e-01  5.632730e-01  0.9817272022  0.890482906
#>  [7846,] -4.836370e-01  4.332575e-01  0.7265400702  0.889793257
#>  [7847,]  1.658613e-01  9.463214e-01  0.9463214094  0.691539373
#>  [7848,]  1.604927e-01  5.985025e-01  0.6412706614  0.656153321
#>  [7849,]  5.680914e-01  5.009350e-01  0.7545738613  0.942453391
#>  [7850,]  5.693638e-02  1.723803e-01  0.4116409955  0.904861641
#>  [7851,] -9.176517e-02  4.725455e-01  0.7619996836  0.626614093
#>  [7852,]  8.486237e-02  6.547153e-01  0.6547153334  0.699179178
#>  [7853,]  4.922226e-01  3.441019e-01  0.3441019163  0.767885952
#>  [7854,]  2.444015e-01  2.444015e-01  0.5038008358  1.044194039
#>  [7855,]  2.269542e-01  6.731050e-01  0.5660782972  0.673105038
#>  [7856,]  7.404920e-02  5.529096e-01  0.5529095514  0.552909551
#>  [7857,] -1.447575e-01  6.816257e-01  0.8002313783  0.741381220
#>  [7858,]  2.901500e-01  1.910117e-01  0.8033780345  0.191011674
#>  [7859,]  2.344146e-01  2.344146e-01  0.2344146115  0.473358123
#>  [7860,]  3.328285e-01  2.587252e-01  0.1896850527  0.601573076
#>  [7861,]  1.431429e-01  5.793800e-01  0.5793799968  0.433841070
#>  [7862,]  1.457776e-01  4.335099e-01  0.4335099473  0.433509947
#>  [7863,] -9.817729e-02  6.386793e-01  0.5590360435  0.638679296
#>  [7864,] -1.770582e-01  5.334700e-01  0.5334700245  0.533470025
#>  [7865,] -8.027212e-02  7.242360e-01  0.7242359522  0.724235952
#>  [7866,] -1.803600e-01  9.435502e-01  0.9435501816  0.943550182
#>  [7867,]  3.722869e-01  6.558756e-01  0.6558755841  0.655875584
#>  [7868,] -3.930810e-02  4.702925e-01  0.4702924866  0.470292487
#>  [7869,]  5.361550e-01  5.361550e-01  0.5361549722  0.536154972
#>  [7870,]  4.863534e-01  4.863534e-01  0.4863534348  0.486353435
#>  [7871,]  6.165989e-01  6.165989e-01  0.6165989280  0.616598928
#>  [7872,]  6.087343e-01  1.625904e-01  0.6087343160  0.608734316
#>  [7873,]  2.735123e-02  1.370818e-01  0.1370818361  0.505545627
#>  [7874,]  3.588977e-01 -3.081717e-01  0.6935607639  0.738235158
#>  [7875,] -5.842168e-01  6.408304e-01 -0.7669176158  0.982015727
#>  [7876,] -2.437547e-01  1.617845e-01  0.2273074494  1.018413159
#>  [7877,]  2.139711e-02  1.808422e-01  0.6651251554  0.630152377
#>  [7878,]  2.933158e-01  4.545157e-01  0.2933157588  0.559987904
#>  [7879,]  3.601741e-02  3.603665e-01  0.4541383710  0.360366469
#>  [7880,]  4.551095e-01  6.545561e-01  0.8920307989  0.910645567
#>  [7881,]  3.405691e-01  5.789901e-01  0.5789901427  0.578990143
#>  [7882,] -1.441079e-01  7.071846e-01  0.7071846194  0.707184619
#>  [7883,]  1.918840e-01  7.139899e-01 -0.1108210669  0.713989863
#>  [7884,] -4.117121e-02  5.665689e-01  0.5665688942  0.773854721
#>  [7885,] -2.675137e-01  7.012351e-01  0.7012351460  0.701235146
#>  [7886,] -3.719482e-01  5.971984e-01  0.5971983693  0.982575944
#>  [7887,]  1.357525e-01  5.606640e-01  0.5606640267  0.560664027
#>  [7888,]  3.738792e-01  3.738792e-01  0.5801467654  0.552757478
#>  [7889,]  4.186990e-01  8.947284e-01  0.3557080389  0.852678059
#>  [7890,]  5.118615e-01  5.118615e-01  0.5118614555  0.808649247
#>  [7891,]  3.116065e-01  5.921336e-01  0.3116065300  0.592133602
#>  [7892,]  2.661722e-01  6.526787e-01  0.4466388316  0.652678706
#>  [7893,]  1.684597e-01  3.576602e-01  0.6510471816  0.651047182
#>  [7894,]  6.079197e-01  2.987156e-01  0.8649918361  0.607919733
#>  [7895,]  3.645964e-02  5.639510e-01  0.5544634324  0.554463432
#>  [7896,]  2.193209e-01  5.984468e-01  0.4824152814  0.782097868
#>  [7897,]  9.717668e-02  6.248788e-01  0.4316526576  0.713327384
#>  [7898,]  1.953873e-01  6.835795e-01  0.6835794631  0.683579463
#>  [7899,]  1.142980e-01  1.142980e-01  0.1142979701  1.076045603
#>  [7900,]  2.672144e-01  5.609180e-02  0.1112523801  0.837226299
#>  [7901,]  4.046583e-01  1.475327e-01  0.4574861290  0.868901854
#>  [7902,]  5.152651e-01  4.352897e-01  0.4352896737  0.515265057
#>  [7903,]  4.555254e-01  7.246256e-01  0.4555254184  0.425558337
#>  [7904,]  2.630661e-01  6.264615e-01  0.2630660757  0.774066076
#>  [7905,]  3.727598e-01  6.367026e-01  0.3727598423  0.980922914
#>  [7906,]  4.093047e-01  7.265199e-01  0.4409986666  0.771967194
#>  [7907,]  6.346128e-01  6.346128e-01  0.6346128297  0.634612830
#>  [7908,]  3.385710e-01  6.455366e-01  0.3385710047  0.645536643
#>  [7909,] -3.264694e-01  7.462562e-01  0.6599573953  0.746256246
#>  [7910,]  4.265669e-01  4.265669e-01  0.4265668525  0.660656213
#>  [7911,]  6.179786e-01  6.179786e-01  0.6179785590  0.617978559
#>  [7912,]  6.300659e-01  6.995200e-01  0.6300659157  0.630065916
#>  [7913,] -2.253621e-01  4.802305e-01  0.4802305312  0.381705867
#>  [7914,]  3.181466e-01  6.551571e-01  0.3181466484  0.655157088
#>  [7915,]  2.991945e-02  8.223884e-01  0.6619740256  0.478600597
#>  [7916,] -4.238806e-02  6.085821e-01  0.6150240900  0.733084169
#>  [7917,]  1.300691e-01  8.728932e-01  0.4411749134  0.872893162
#>  [7918,]  2.662835e-02  2.565553e-01  0.4016333209  0.970342122
#>  [7919,]  5.368376e-01  7.317159e-01  0.5368375781  0.939648200
#>  [7920,] -4.777302e-01  9.533326e-01  0.8310328854  1.003639240
#>  [7921,]  4.358726e-01  4.358726e-01  0.4358725878  0.747755787
#>  [7922,] -9.159479e-02  6.734090e-01  0.0228416565  0.673408980
#>  [7923,] -9.314465e-02  4.191038e-01  0.3435051805  0.343505180
#>  [7924,]  5.742118e-01  5.742118e-01  0.4929324605  0.574211753
#>  [7925,]  3.753628e-01  9.110273e-02  0.2155546127  0.375362832
#>  [7926,]  8.540293e-02  3.511970e-01  0.3511969640  0.351196964
#>  [7927,]  7.325361e-01  7.325361e-01  0.7325360803  0.732536080
#>  [7928,]  4.030027e-01  4.030027e-01  0.3412950697  0.403002729
#>  [7929,]  4.680690e-01  4.680690e-01  0.7041453246  0.704145325
#>  [7930,]  3.970331e-01  3.970331e-01  0.3970331391  0.397033139
#>  [7931,]  3.273606e-01  2.783084e-01  0.2783084081  0.327360630
#>  [7932,]  4.400291e-01  3.699680e-01 -0.2363373561  0.440029097
#>  [7933,]  1.139009e-01  5.754128e-01  0.5754128350  0.575412835
#>  [7934,]  1.233008e-01  4.107928e-01  0.4107928267  0.410792827
#>  [7935,] -1.548334e-01  5.571517e-01  0.5571517288  1.273501525
#>  [7936,] -7.976940e-02  5.297428e-01 -0.0797694028  0.894681970
#>  [7937,]  6.486051e-01  6.486051e-01  0.6486051182  0.648605118
#>  [7938,]  1.663437e-01  1.663437e-01  0.1663436627  0.166343663
#>  [7939,]  3.417557e-01  7.088647e-01  0.7088647042  0.708864704
#>  [7940,]  2.715362e-01  9.644118e-01  0.9644118066  0.964411807
#>  [7941,]  5.063167e-01  5.063167e-01  0.5063167368  0.977493287
#>  [7942,]  1.563887e-01  4.027968e-01  0.5585336072  0.509065399
#>  [7943,]  3.724650e-01  8.518812e-01  0.4881794218  0.713210654
#>  [7944,]  2.626653e-01  5.516903e-01  0.5507075993  0.550707599
#>  [7945,] -1.325532e-01  5.553720e-01  0.5553720446  0.555372045
#>  [7946,]  5.485260e-02  7.673748e-01  0.7673748293  0.767374829
#>  [7947,]  5.881650e-02  7.036568e-01  0.8772113533  0.714985657
#>  [7948,]  6.798211e-02  8.782307e-01  0.7141084545  0.878230728
#>  [7949,] -7.281122e-02  6.031444e-01  0.5918456171  0.603144389
#>  [7950,]  3.287958e-01  3.287958e-01  0.4460809233  0.491330687
#>  [7951,]  1.515031e-01  5.795343e-01  0.4116996083  0.579534348
#>  [7952,] -1.961737e-01  4.780501e-01  0.5957373666  0.843554050
#>  [7953,]  1.229582e-01  9.032944e-01  0.7287417522  0.903294427
#>  [7954,]  4.006332e-01  6.314195e-01  0.4006332342  0.892138071
#>  [7955,]  4.412415e-01  4.390615e-01  0.4390615425  0.622910836
#>  [7956,]  5.865867e-01  5.865867e-01  0.5865866706  0.586586671
#>  [7957,] -1.183125e-01  6.141341e-01  0.2795270879  0.807932843
#>  [7958,]  8.286585e-01  8.286585e-01  0.3739620253  0.591087298
#>  [7959,]  5.513470e-01  4.624088e-01  0.4624088054  0.447142566
#>  [7960,]  6.601400e-01  5.099533e-01  0.8502400124  0.660140041
#>  [7961,]  6.081392e-01  4.731321e-01  0.4731321253  0.473132125
#>  [7962,]  2.219763e-01  4.881420e-01  0.4834767450  0.488141956
#>  [7963,]  1.490910e-01  3.492608e-01  0.6582045939  0.349260846
#>  [7964,]  2.122815e-01  3.222872e-01  0.8874535138  0.887453514
#>  [7965,]  2.061464e-01  3.856018e-01  0.3856018351  0.206146373
#>  [7966,]  4.216804e-01  4.216804e-01  0.4216804031  0.421680403
#>  [7967,]  3.794285e-01  4.727220e-01  0.3794285482  0.379428548
#>  [7968,]  5.886587e-01  5.886587e-01  0.5886586795  0.588658679
#>  [7969,]  7.221052e-01  7.221052e-01  0.7221051643  0.722105164
#>  [7970,]  4.873350e-01  4.873350e-01  0.4873350112  0.487335011
#>  [7971,]  2.624142e-01  6.936086e-01  0.2624142238  0.693608645
#>  [7972,] -3.166125e-01  6.450521e-01  0.6986338144  0.858343542
#>  [7973,]  5.320655e-01  4.586013e-01  0.5320654991  0.458601309
#>  [7974,]  5.405580e-01  5.818988e-01  0.5405580376  0.540558038
#>  [7975,]  4.091541e-01  4.091541e-01  0.4091540813  0.409154081
#>  [7976,]  4.865915e-01  4.865915e-01  0.4865915290  0.486591529
#>  [7977,] -1.384003e-01  5.146669e-01  0.5146668998  0.886814927
#>  [7978,]  2.337987e-01  4.101036e-01  0.4101036106  1.099175782
#>  [7979,]  5.189091e-01  5.189091e-01  0.5189091307  0.518909131
#>  [7980,]  3.180229e-01  3.180229e-01  0.3180228663  0.318022866
#>  [7981,]  3.610531e-01  3.610531e-01  0.3610530992  0.582078541
#>  [7982,]  5.112975e-01  5.112975e-01  0.5112974996  0.511297500
#>  [7983,]  4.304114e-01  4.304114e-01  0.4304113995  0.430411399
#>  [7984,]  5.225857e-01  6.665240e-01  0.5225856930  0.666523993
#>  [7985,]  2.490459e-02  5.473502e-01  0.5473501534  0.547350153
#>  [7986,]  8.539150e-02  8.790656e-01  0.6413318101  0.879065650
#>  [7987,]  4.002269e-01  4.002269e-01  0.9880378017  0.988037802
#>  [7988,]  3.713360e-01  3.713360e-01  0.3713360405  0.371336040
#>  [7989,] -7.766200e-02  3.714488e-01  0.3510446462  0.726134260
#>  [7990,]  1.970911e-01  1.970911e-01  0.3280045398  0.328004540
#>  [7991,]  4.935032e-01  1.759848e-01  0.4935031834  0.493503183
#>  [7992,]  1.697652e-01  1.697652e-01  0.1697652169  0.436413457
#>  [7993,]  3.949614e-01  3.949614e-01  0.1888983696  0.499891837
#>  [7994,]  5.278225e-01  5.278225e-01  0.5278225422  0.527822542
#>  [7995,]  5.143783e-01  5.802720e-01  0.5143783188  0.580272017
#>  [7996,]  1.286861e-01  6.041572e-01  0.3686150399  0.744560116
#>  [7997,] -5.944940e-02  6.692821e-01  0.6593371368  0.659337137
#>  [7998,] -3.028136e-01  1.816963e-01  0.7330682104  0.668416241
#>  [7999,] -1.080533e-01  1.054063e+00 -0.1080533266  0.852247738
#>  [8000,] -9.778384e-02  4.252407e-01  0.4252406510  0.650108799
#>  [8001,]  1.139559e-01  5.972395e-01  0.5972394605  0.597239461
#>  [8002,]  1.158060e-01  3.899883e-01  0.3899883367  0.339598332
#>  [8003,]  9.651144e-02  6.511212e-01  0.0965114387  0.478784173
#>  [8004,]  1.654204e-02  4.455707e-01  0.3769911846  0.805714599
#>  [8005,]  3.443551e-01 -3.694613e-02  0.7733685878  0.465184132
#>  [8006,]  6.447693e-02  6.448697e-01  0.6448696680  0.835423886
#>  [8007,] -1.322661e-01  2.467417e-01  0.4993310108  0.548643051
#>  [8008,]  1.255863e-01  4.579463e-01  0.4698137099  0.469813710
#>  [8009,]  1.339420e-01  4.928492e-01  0.4928492137  0.492849214
#>  [8010,]  2.993760e-01  5.342074e-01  0.5342074403  0.760598262
#>  [8011,]  1.665252e-01  6.808892e-01  0.1665252038  0.680889202
#>  [8012,]  2.231241e-01  2.231241e-01  0.2231241479  0.726083954
#>  [8013,]  2.786264e-01  8.095480e-01  0.7148821400  0.456482812
#>  [8014,]  3.856253e-01  6.242253e-01  0.3856253348  0.385625335
#>  [8015,]  5.602903e-01  3.773392e-01  0.3948680686  0.693590232
#>  [8016,]  1.036080e-01  2.259217e-01  0.4585941459  0.512661130
#>  [8017,]  7.107061e-02  5.827506e-02  0.6331827549  0.633182755
#>  [8018,]  5.002405e-01  4.491173e-01  0.4491172839  0.449117284
#>  [8019,]  7.447159e-02  7.447159e-02  0.0744715934  0.687797272
#>  [8020,]  5.649879e-01  7.459963e-01  0.7459962636  0.906095769
#>  [8021,] -3.562512e-01  3.761179e-01  0.9294141128  0.309940764
#>  [8022,] -9.099952e-01  4.818477e-01  0.5053475234  0.481847710
#>  [8023,]  6.756558e-01  6.756558e-01  0.6756557997  0.338994545
#>  [8024,]  2.882390e-01  2.882390e-01  0.2864961958  0.815917164
#>  [8025,]  4.851498e-01  4.851498e-01  0.3714107691  0.501013743
#>  [8026,]  3.838990e-02  4.928691e-01  0.4928691224  0.492869122
#>  [8027,]  4.502019e-01  3.476077e-02  0.4502019045  0.450201904
#>  [8028,]  2.986892e-01  1.271913e-01  0.6317572149  0.631757215
#>  [8029,]  2.472866e-01  6.971484e-01  0.6971484099  0.571226702
#>  [8030,] -1.727719e-02  6.627295e-01  0.6627295201  0.662729520
#>  [8031,] -1.654754e-01  6.154346e-01  0.0745979312  0.615434620
#>  [8032,]  1.964473e-01  6.770251e-01  0.0665218528  0.677025068
#>  [8033,] -3.180867e-01  3.627239e-01  0.2810061880  0.362723919
#>  [8034,]  5.761249e-02  5.761249e-02  0.5511126195  0.688890251
#>  [8035,] -2.067014e-01  4.778816e-01  0.8363103862  0.700824281
#>  [8036,]  1.896695e-01  1.896695e-01  1.3931367944  0.189669490
#>  [8037,]  3.470575e-01  5.009149e-01  0.3470575043  0.500914925
#>  [8038,]  1.590433e-01  3.157089e-01  0.6994622752  0.699462275
#>  [8039,]  6.609163e-01  3.511990e-01  0.6609162745  0.660916274
#>  [8040,] -1.154909e-01  7.507648e-01  0.2383339876  0.367188573
#>  [8041,]  9.888465e-02  9.888465e-02  0.0988846525  0.468078419
#>  [8042,]  3.755661e-01  3.997830e-01  0.8666185615  0.866618561
#>  [8043,]  8.226925e-02  4.088251e-01  0.2806408707  0.878732058
#>  [8044,] -1.451298e-01  5.379315e-01  0.7374548901  1.006375828
#>  [8045,] -1.650443e-01  5.420904e-01  0.5420904050  0.567072496
#>  [8046,]  3.427937e-01  3.427937e-01  0.3427937455  0.342793745
#>  [8047,]  3.347232e-01  7.585687e-01  0.3347231594  0.758633807
#>  [8048,]  2.426940e-01  6.014000e-01  0.6014000361  0.741183962
#>  [8049,]  5.490341e-01  4.616829e-01  0.5490341294  0.558846320
#>  [8050,]  6.150739e-01  3.367170e-01  0.5502676081  0.550267608
#>  [8051,]  1.133383e-01  3.605448e-01  0.3605448305  0.360544830
#>  [8052,]  3.495795e-01  5.600685e-01  0.5600684918  0.560068492
#>  [8053,]  3.981304e-01  5.344021e-01  0.3981303812  0.564322743
#>  [8054,]  3.503134e-01  3.503134e-01  0.3503133883  0.887577660
#>  [8055,]  3.887813e-01  3.887813e-01  0.3327228478  0.875478221
#>  [8056,]  8.646239e-02  8.646239e-02  0.5589992543  1.062811208
#>  [8057,]  9.155369e-02  9.155369e-02  0.5354655633  0.535465563
#>  [8058,]  4.871599e-01  8.806670e-01  0.8806669581  0.880666958
#>  [8059,]  9.098670e-02  3.273702e-01  0.5186246740  0.722700961
#>  [8060,]  2.905016e-01  2.538919e-01  0.5405649313  0.290501576
#>  [8061,]  1.109120e-03  2.555272e-01  0.8497153797  0.207594319
#>  [8062,]  1.302804e-01  1.876679e-01  0.5703483182  0.957246966
#>  [8063,]  3.110139e-01  6.712815e-01  0.3495919183  1.122191562
#>  [8064,]  9.593035e-02  6.556133e-01  0.1115766262  0.936555016
#>  [8065,]  1.903950e-01  7.535990e-01  0.1517833818  0.665549333
#>  [8066,]  2.169871e-01  2.169871e-01  0.3987916192  0.989797772
#>  [8067,]  1.921253e-01  1.977649e-01  0.1921253107  0.662788237
#>  [8068,]  2.097185e-01  2.097185e-01  0.6010862231  0.439496358
#>  [8069,]  3.807308e-01  8.430525e-01  0.6311829564  1.323894094
#>  [8070,]  3.516137e-01  3.491207e-01  0.3491207270  0.349120727
#>  [8071,]  8.486776e-01  8.486776e-01  0.2759753770  0.848677573
#>  [8072,]  1.107139e-01  6.079827e-01  0.6079826723  0.607982672
#>  [8073,]  1.601964e-01  6.174039e-01  0.6174038642  0.617403864
#>  [8074,]  1.456406e-01  7.687617e-01  0.4879748884  0.768761722
#>  [8075,]  3.071944e-01  3.071944e-01  0.3071944152  0.307194415
#>  [8076,]  3.195195e-01  3.195195e-01  0.3195194809  0.319519481
#>  [8077,]  2.335737e-01  2.335737e-01  0.5090384743  0.233573731
#>  [8078,] -1.494556e-01  6.583600e-01  0.6583599636  0.658359964
#>  [8079,]  4.425730e-01  4.361214e-01  0.4361214371  0.525370567
#>  [8080,]  4.247846e-01  5.035068e-01  0.8744160159  0.874416016
#>  [8081,]  1.443587e-02  6.675266e-01  0.1430839406  0.493043667
#>  [8082,]  1.828524e-01  4.570373e-01  0.1828524368  0.457037255
#>  [8083,]  8.016858e-01  8.016858e-01  0.8016857701  0.801685770
#>  [8084,]  6.063853e-01  4.158009e-01  0.3787867131  0.415800895
#>  [8085,]  3.339783e-01  3.339783e-01  0.3339782994  0.567634897
#>  [8086,]  1.828687e-01  5.227057e-01  0.5227057483  0.522705748
#>  [8087,]  1.556760e-01  5.149689e-01  0.5149689287  0.514968929
#>  [8088,]  2.625813e-02  7.037039e-01  0.4760979248  0.703703857
#>  [8089,] -1.875392e-01  5.863540e-01  0.5863539860  0.586353986
#>  [8090,]  1.791910e-01  3.005611e-01  0.9360807209  0.936080721
#>  [8091,]  1.343159e-01  1.220726e-01  0.1343158555  0.981094371
#>  [8092,]  1.756175e-01  7.018809e-01  0.2928110665  0.701880910
#>  [8093,]  1.283517e-01  5.031220e-01  0.5659217655  0.690224280
#>  [8094,] -1.484159e-01  1.171278e-01  0.6697535439  0.669753544
#>  [8095,]  3.633267e-01  5.514053e-01  0.5514053005  0.397545612
#>  [8096,]  2.077500e-01  7.349287e-01  0.7349287238  0.207749953
#>  [8097,] -3.916276e-01  4.004013e-01  0.5750570180  0.575057018
#>  [8098,]  3.221189e-01  3.780584e-01  0.3221188804  0.322118880
#>  [8099,] -1.343278e-01  7.001367e-01  0.7001366577  0.213023183
#>  [8100,]  5.819632e-01  4.407489e-01  0.4407489414  0.320749766
#>  [8101,]  4.750457e-01  2.215392e-01 -0.0235958296  0.957830767
#>  [8102,]  5.722303e-01  4.840516e-01  0.2733176630  0.572230304
#>  [8103,]  5.085813e-01  1.421415e-01  0.5085812862  1.127089040
#>  [8104,] -1.196945e-01  2.450792e-01  0.3599915252  0.392700795
#>  [8105,]  2.505203e-01  1.434312e-01  0.6112463893  0.410728679
#>  [8106,] -7.976394e-02  4.846250e-01  0.6369512041  0.636951204
#>  [8107,] -1.684831e-01  6.393556e-01  0.2627135357  0.639355592
#>  [8108,] -2.671960e-01  8.513713e-01  0.7736183512  0.851371335
#>  [8109,]  4.768721e-02  5.272949e-01  0.5272949157  0.606643934
#>  [8110,]  2.049830e-01  2.049830e-01  0.5678060770  0.567806077
#>  [8111,]  2.452653e-01  2.452653e-01  0.6247053738  0.624705374
#>  [8112,]  3.907568e-01  3.907568e-01  0.3907567608  0.390756761
#>  [8113,]  4.246908e-01  4.246908e-01  0.4246907549  0.424690755
#>  [8114,]  8.846509e-01  8.846509e-01  0.8846508580  0.884650858
#>  [8115,]  3.015096e-01  1.918417e-02  0.3128801457  0.301509593
#>  [8116,]  5.859787e-01  3.124814e-01  0.5859786675  0.585978667
#>  [8117,]  4.818329e-01  2.819134e-01  0.4818328692  0.481832869
#>  [8118,]  1.404151e-01  5.111570e-01 -0.0373072053  0.511157007
#>  [8119,]  2.838643e-01  4.558847e-01  0.4558847060  0.455884706
#>  [8120,]  3.111032e-01  3.111032e-01  0.3111031851  0.635017952
#>  [8121,]  4.233844e-01  4.233844e-01  0.4186234076  0.423384419
#>  [8122,]  4.605838e-01  4.605838e-01  0.4605838257  0.460583826
#>  [8123,]  2.452846e-01  7.532376e-01  0.6012774966  0.601277497
#>  [8124,]  3.086974e-01 -1.886250e-02  0.1897346226  0.189734623
#>  [8125,] -1.973317e-01  5.696244e-01  0.3751691692  0.505022031
#>  [8126,]  3.118171e-01  3.118171e-01  0.3118170684  0.746139469
#>  [8127,]  7.084396e-02  9.291770e-01  0.9291769989  0.929176999
#>  [8128,]  5.415912e-01  5.672351e-01  0.5672350650  0.193794208
#>  [8129,]  7.156035e-01  7.156035e-01  0.7156034761  0.715603476
#>  [8130,]  1.010180e-01  8.064143e-01  0.8064142672  0.806414267
#>  [8131,] -2.421439e-01  8.695188e-01  0.4717677496  0.729668253
#>  [8132,]  3.437010e-01  6.522650e-01  0.6182097726  0.618209773
#>  [8133,]  2.411879e-01  4.863805e-01  0.2411879038  0.486380451
#>  [8134,]  1.884347e-01  4.066219e-01  0.1884346568  0.524546456
#>  [8135,]  4.487956e-01  4.487956e-01  0.4019130564  1.032006866
#>  [8136,]  2.778233e-01  2.778233e-01  0.3875924884  0.697002236
#>  [8137,]  3.240582e-01  4.936779e-01  0.3240581566  0.493677918
#>  [8138,]  4.662759e-01  4.662759e-01  0.5982851114  0.598285111
#>  [8139,]  6.184354e-01  5.671102e-01  0.5671102280  0.618435405
#>  [8140,] -3.997925e-02  6.460940e-01  0.5725680809  0.646094023
#>  [8141,]  9.268946e-02  4.924346e-01  0.4275834211  0.843699135
#>  [8142,]  1.998844e-01  2.288023e-01  0.2288022968  0.786587312
#>  [8143,]  1.374796e-01  1.374796e-01  0.1374795891  0.624733231
#>  [8144,]  1.003246e-01  8.830731e-02  0.6696386226  0.384141567
#>  [8145,] -5.898329e-02  5.681447e-01  0.5262419742  0.568144674
#>  [8146,] -9.961116e-02 -8.267676e-02  0.7147389379  0.800340042
#>  [8147,]  2.054384e-01  7.692011e-01  0.3246616621  1.016444933
#>  [8148,]  2.175772e-01  6.901304e-01  0.5245296866  0.524529687
#>  [8149,]  3.029548e-01  8.683309e-01  0.5449626258  0.647584164
#>  [8150,]  2.633870e-01  7.143912e-01  0.7488002234  0.601919689
#>  [8151,]  9.311352e-02  6.384419e-01  0.1768376508  0.731765035
#>  [8152,]  3.492766e-01  8.863337e-01  0.8863336712  0.743381849
#>  [8153,]  2.426438e-01  7.088535e-01  0.2426437951  1.050206280
#>  [8154,]  7.753490e-01  4.765784e-01  0.5589123423  0.775349003
#>  [8155,]  2.315102e-01  4.139753e-01  0.9622095424  0.497957592
#>  [8156,]  2.787921e-01  5.641520e-01  0.6153083086  0.615308309
#>  [8157,]  3.782745e-01  3.782745e-01  0.2250252610  0.772824648
#>  [8158,]  1.156541e-01  4.756038e-01  0.6956943914  0.695694391
#>  [8159,] -1.723896e-01  5.541130e-01  0.1902917391  0.834143034
#>  [8160,]  2.356945e-01  7.508040e-01  0.7508039716  0.750803972
#>  [8161,] -3.540057e-01  1.265437e+00  0.6535980006  0.561696412
#>  [8162,]  1.946848e-01  6.636933e-01  0.5366396959  1.190195705
#>  [8163,]  1.418417e-01  7.350526e-01  0.6565281740  0.875118901
#>  [8164,]  1.336978e-01  7.673068e-01  0.7673067736  0.264599789
#>  [8165,] -4.675283e-01  5.462760e-01  0.7097103848  0.819427547
#>  [8166,]  4.616220e-01  7.066123e-01  0.0728279730  0.592764142
#>  [8167,]  5.557889e-01  5.557889e-01  0.5557888777  0.555788878
#>  [8168,]  5.246896e-01  5.246896e-01  0.5246895664  0.524689566
#>  [8169,]  4.895388e-01  4.895388e-01  0.4895388042  0.489538804
#>  [8170,]  5.057128e-01  4.284286e-01  0.4284286456  0.505712832
#>  [8171,]  7.354561e-01  1.878053e-01  0.1878053281  0.187805328
#>  [8172,]  4.605810e-01  3.347223e-01  0.4605809885  0.460580988
#>  [8173,]  1.511087e-01  2.595497e-01  0.5371014315  0.362729713
#>  [8174,]  2.663915e-01  4.895862e-01  0.5702937880  0.266391504
#>  [8175,] -6.342180e-02  1.888030e-01  0.5488411186  0.188802958
#>  [8176,]  1.074493e-01  6.172843e-01  0.2794846289  0.287408057
#>  [8177,]  1.546859e-02  7.086513e-01  0.7514197507  0.257236274
#>  [8178,]  2.822584e-01  6.502707e-01  0.5530315449  0.553031545
#>  [8179,] -3.560034e-02  4.511648e-01  0.4511648441  0.451164844
#>  [8180,]  2.925429e-01  2.925429e-01 -0.0854507477  0.585121413
#>  [8181,]  2.397450e-01  7.304943e-01  0.4785899861 -0.027091113
#>  [8182,] -1.184241e-01  6.663063e-01  0.6172075935  0.617207593
#>  [8183,]  3.808301e-01  4.193342e-01  0.3615459070  0.488841882
#>  [8184,]  3.498752e-01  2.268654e-01  0.4247878952  0.823697123
#>  [8185,]  4.997890e-02  5.887820e-01  0.5887820022  0.435328188
#>  [8186,]  3.002014e-01  5.297463e-01  0.2080296409  0.529746339
#>  [8187,] -8.525974e-02  2.598091e-01  0.3396945327  0.339694533
#>  [8188,]  1.766581e-01  3.419817e-01  0.3327667798  0.876901319
#>  [8189,]  2.556058e-02  3.625755e-01  0.8561086305  0.800353525
#>  [8190,]  8.726848e-02  1.789331e-01  0.7477277856  0.702118489
#>  [8191,]  2.073717e-01  5.159666e-01  0.4720968951  0.515966554
#>  [8192,]  3.555826e-01  3.555826e-01  0.7061525297  0.355582569
#>  [8193,]  3.438510e-01  3.438510e-01  0.3438510457  0.343851046
#>  [8194,]  6.799913e-01  6.799913e-01  0.6799913459  0.679991346
#>  [8195,]  3.671947e-01  3.671947e-01  0.3671946566  0.367194657
#>  [8196,]  5.033900e-01  5.033900e-01  0.5033899886  0.503389989
#>  [8197,]  4.944738e-01  4.944738e-01  0.4944737982  0.494473798
#>  [8198,]  7.803712e-03  2.543359e-01  0.4089395462  0.254335850
#>  [8199,]  6.195135e-01  6.195135e-01  0.7920431726  0.792043173
#>  [8200,] -1.031258e-01  7.591319e-01  0.7591318535  0.759131854
#>  [8201,]  3.463407e-01  3.614847e-01  0.4693965005  0.970244176
#>  [8202,]  4.127571e-01  2.391727e-02  0.8443219542  0.844321954
#>  [8203,]  6.507687e-02  5.715329e-01  0.5715328853  0.863904476
#>  [8204,]  1.516580e-01  1.516580e-01  0.7648934996  0.764893500
#>  [8205,]  8.729724e-03  5.378469e-01  0.5378468844  0.537846884
#>  [8206,]  3.240562e-01  3.240562e-01  0.3240562418  0.324056242
#>  [8207,]  6.015557e-01  6.015557e-01  0.6860160022  0.601555692
#>  [8208,]  5.044540e-01  5.462782e-01  0.5462781739  0.504453971
#>  [8209,]  6.221100e-01  4.028277e-01  0.6221099657  0.622109966
#>  [8210,] -9.804322e-02  5.151334e-01  0.5444164323  0.842270434
#>  [8211,] -4.982226e-02  2.409848e-01  0.7755304719  0.363994567
#>  [8212,]  1.617510e-01  7.657175e-01  0.5749463285  0.574946328
#>  [8213,]  2.495399e-01  6.426486e-01  0.2495399488  0.853583647
#>  [8214,]  7.053036e-02  6.778831e-01  0.5514051887  1.063374988
#>  [8215,]  1.331257e-01  5.766015e-01  0.3814312821  1.067431676
#>  [8216,]  4.660949e-01  3.684014e-01  0.3684014154  0.627239395
#>  [8217,] -2.012400e-01  6.661060e-01  0.3921955209  0.863842753
#>  [8218,]  2.747571e-01 -1.409045e-02  0.2747570903  0.879309531
#>  [8219,]  2.994131e-01  5.578761e-01  0.5578761338  0.982672856
#>  [8220,]  1.487143e-01  3.156115e-01  0.4436540500  0.443654050
#>  [8221,]  5.026297e-01  1.097722e+00  0.4946388490  0.307914558
#>  [8222,]  5.326245e-01  3.655368e-01  0.5326245356  0.532624536
#>  [8223,]  3.832409e-01  1.158697e+00  1.1586966311  0.627590901
#>  [8224,]  2.464192e-01  2.464192e-01  0.7080256202  0.714451021
#>  [8225,]  3.527270e-01  7.684463e-01  0.3527270266  0.768446296
#>  [8226,]  4.266953e-01  2.816875e-01  0.2816875019  0.545337127
#>  [8227,]  6.881830e-01  4.356203e-01  0.4718280512  0.432306337
#>  [8228,]  5.886808e-01  5.886808e-01  0.5886808416  0.588680842
#>  [8229,] -2.511703e-01  6.895235e-01  0.6895234537  0.689523454
#>  [8230,]  7.510483e-03  4.755349e-01  0.4755349063  0.475534906
#>  [8231,]  2.049251e-01  3.499812e-01  0.2610732540  0.838082438
#>  [8232,]  6.221285e-02  4.707222e-01  0.2773209621  0.532430265
#>  [8233,]  9.357342e-02  2.283019e-01  0.6697909679  0.806677699
#>  [8234,] -1.704870e-01  5.294456e-01  0.3137091392  0.818505705
#>  [8235,] -3.416743e-01  7.307731e-01  0.7307730813  0.373027890
#>  [8236,]  1.542596e-01  8.882233e-01  0.1657118602  0.888223327
#>  [8237,]  3.759053e-01  7.546257e-01  0.3759053345  0.754625728
#>  [8238,]  8.587418e-05  3.208682e-01 -0.0116251653  0.884965900
#>  [8239,]  2.621512e-01  5.604387e-01 -0.1319401962  1.532603008
#>  [8240,]  5.054828e-01  5.054828e-01  0.5054828082  0.505482808
#>  [8241,]  6.657239e-01  6.657239e-01  0.6657239380  0.665723938
#>  [8242,]  7.203412e-01  7.203412e-01  0.7203412471  0.720341247
#>  [8243,]  7.676677e-01  7.676677e-01  0.0485125815  0.767667747
#>  [8244,]  1.706659e-02  3.608113e-01 -0.0088965839  0.360811323
#>  [8245,] -5.164686e-02  2.136904e-01  0.2136904353  0.213690435
#>  [8246,]  4.832245e-01  3.758451e-01  0.3758451281  0.483224504
#>  [8247,]  2.321228e-01  4.836241e-01  0.2678747909  0.483624082
#>  [8248,]  4.288830e-02  7.493936e-01  0.1636693404  0.749393574
#>  [8249,]  5.631045e-01  3.645979e-01  0.4176919899  0.563104489
#>  [8250,]  2.486752e-01  3.830246e-01  0.7963744000  0.383024622
#>  [8251,] -2.848824e-01  4.855669e-01  0.5989697059  0.598969706
#>  [8252,] -3.608821e-01  4.543387e-01  0.5453365600  0.545336560
#>  [8253,] -3.481410e-01  2.665241e-01  0.2665241382  0.646528855
#>  [8254,] -1.357424e-01  5.232382e-01  0.6677261289  0.667726129
#>  [8255,]  6.718407e-02  6.419997e-01  0.7607834273  0.760783427
#>  [8256,] -5.620727e-02  5.534734e-01  0.5534733820  0.553473382
#>  [8257,] -8.517182e-02  1.743424e-01 -0.0077336918  0.578400665
#>  [8258,]  9.220652e-03  2.850813e-01  0.4800417324  0.804856194
#>  [8259,]  4.126352e-01  7.975781e-01  0.7975781247  0.797578125
#>  [8260,]  2.550301e-01  2.302918e-01  0.0180655605  0.695064327
#>  [8261,]  4.862821e-01  5.848085e-01  0.4862821116  0.584808520
#>  [8262,]  4.264402e-01  4.264402e-01  0.7262639306  0.381157103
#>  [8263,]  1.012251e-01  6.840999e-01  0.4412541687  0.480674323
#>  [8264,]  1.987871e-01  9.035129e-01  0.1987870513  0.903512883
#>  [8265,]  1.587186e-01  1.587186e-01  0.3735938573  0.900037062
#>  [8266,]  9.577460e-02  9.577460e-02  0.0957745974  0.920499419
#>  [8267,] -6.635032e-02  9.211833e-01  0.9211833322  0.921183332
#>  [8268,]  4.073855e-01  8.005686e-01  0.8005686221  0.800568622
#>  [8269,]  3.169385e-01  5.205679e-01  0.5205679080  0.971265666
#>  [8270,]  2.631816e-01  5.163953e-01  0.2631816217  0.479022854
#>  [8271,]  2.489237e-01  2.489237e-01  0.5063062568  0.590440116
#>  [8272,]  3.397752e-01  3.397752e-01  0.4315846924  0.624202457
#>  [8273,]  3.545352e-01  3.659192e-01  0.4565755613  0.579989606
#>  [8274,]  5.331282e-01  4.891674e-01  0.5331282378  0.533128238
#>  [8275,]  1.704837e-01  1.704837e-01  0.7750994077  0.170483729
#>  [8276,]  6.192197e-02  7.117840e-01  0.7117839504  0.711783950
#>  [8277,] -3.189972e-01  4.129234e-01  0.4129234122  0.412923412
#>  [8278,] -4.031927e-01  6.641961e-01  0.6641960764  0.664196076
#>  [8279,] -8.355215e-02  6.614734e-01  0.6614733901  0.661473390
#>  [8280,]  4.320107e-01  4.591129e-01  0.4591129108  0.988024526
#>  [8281,]  3.021027e-01  3.021027e-01  0.3021026854  0.981847502
#>  [8282,]  4.688439e-01  5.527459e-01  0.4688439390  0.552745869
#>  [8283,]  5.713852e-01  5.713852e-01  0.5713851735  0.571385173
#>  [8284,]  5.426235e-01  6.431886e-01  0.5426234546  0.542623455
#>  [8285,]  5.154658e-01  5.154658e-01  0.6953669795  0.695366979
#>  [8286,]  6.039807e-01  9.020650e-01  0.7187790502  0.603980745
#>  [8287,]  5.831862e-01  5.831862e-01  0.5831861540  0.583186154
#>  [8288,]  6.098898e-01  6.098898e-01  0.6098897808  0.609889781
#>  [8289,]  4.420520e-01  4.420520e-01  0.4420520237  0.869550046
#>  [8290,]  1.718404e-01  5.819086e-01  0.5190190537  0.975291824
#>  [8291,]  1.426517e-01  5.766391e-01  0.1416885466  0.576639109
#>  [8292,]  1.480089e-01  5.777109e-01  0.5777108939  0.577710894
#>  [8293,] -8.163024e-02  6.812094e-01  0.7341882876  0.681209403
#>  [8294,]  1.727838e-04  9.043463e-01  0.7298670903  0.850287877
#>  [8295,] -1.533476e-01  4.823394e-01  0.6187711029  0.618771103
#>  [8296,]  1.090416e-01  4.639706e-01  0.4639705559  0.463970556
#>  [8297,]  4.085717e-01  3.417603e-01  0.4085717265  0.408571726
#>  [8298,]  8.108277e-02  5.881393e-01  0.5881392543  0.588139254
#>  [8299,]  7.952441e-02  7.689150e-01  0.9147588171  0.768914956
#>  [8300,]  1.201210e-01 -1.135395e-01  0.4449781296  0.444978130
#>  [8301,] -1.014338e-02  5.579710e-01  0.3660539350  0.557970961
#>  [8302,]  2.684646e-03  1.655127e-01  0.5999096039  0.599909604
#>  [8303,]  6.993680e-02  7.335821e-01  0.7335820777  0.733582078
#>  [8304,] -2.533880e-02  4.618993e-01  0.6224986607  0.622498661
#>  [8305,]  3.395921e-01  3.609527e-01  0.3609527142  0.360952714
#>  [8306,]  4.290602e-01  6.424986e-01  0.4290601661  0.642498648
#>  [8307,]  5.988004e-01  5.988004e-01  0.5988004385  0.598800438
#>  [8308,]  4.567381e-01  4.567381e-01  0.4567380620  0.456738062
#>  [8309,]  6.725799e-01  6.033767e-01  0.6033766960  0.672579922
#>  [8310,]  7.831450e-01  7.831450e-01  0.7831449526  0.783144953
#>  [8311,]  1.422298e-01  7.148478e-01  0.7148477895  0.714847790
#>  [8312,]  4.891232e-01  2.751345e-01  0.7788993848  0.524560035
#>  [8313,]  5.141253e-01  4.472994e-01  0.6084741406  1.340479108
#>  [8314,]  4.862079e-01  8.402308e-01  0.8402308157  0.840230816
#>  [8315,]  5.489590e-01  3.142898e-01  0.5489590321  0.548959032
#>  [8316,]  1.368116e-01  2.612756e-01  0.1368115589  0.136811559
#>  [8317,]  8.484594e-01  5.124135e-01  0.8484593577  0.848459358
#>  [8318,] -8.614679e-02  9.096349e-01  0.9096349327  0.909634933
#>  [8319,]  8.840954e-03  7.755719e-01  0.7755718640  0.775571864
#>  [8320,] -1.408761e-01  6.799587e-01  0.6799586805  0.679958680
#>  [8321,] -1.738667e-01  7.185623e-01  0.8105488312  0.810548831
#>  [8322,]  3.446310e-01  9.149969e-01  0.3446310276  0.344631028
#>  [8323,]  5.605192e-01  5.605192e-01  0.5605191696  0.560519170
#>  [8324,]  6.091828e-02  4.413297e-01  0.7616791888  0.441329665
#>  [8325,]  5.809615e-01  8.674763e-01  0.6618947724  0.576739558
#>  [8326,]  4.436389e-01  8.902384e-01  0.3662160968  0.542938956
#>  [8327,]  3.790444e-01  5.936954e-01  0.3790444155  0.379044416
#>  [8328,]  2.846857e-01  4.944468e-01  0.3894423291  0.494446763
#>  [8329,]  1.935239e-01  7.436155e-01  0.4678294288  0.559208555
#>  [8330,]  1.087770e-01  8.096046e-01  0.9212796490  0.809604595
#>  [8331,]  2.056213e-01  8.963100e-01  0.8963099701  0.896309970
#>  [8332,]  8.763131e-01  3.036626e-01  0.0238336828  1.150395464
#>  [8333,]  4.659792e-01  8.729918e-01  0.8729917557  1.022187742
#>  [8334,]  1.111162e-01  7.857177e-01  0.8535332866  0.785717684
#>  [8335,] -2.504046e-01  4.934644e-01  0.4865042440  0.836267794
#>  [8336,] -1.269976e-01  3.401094e-01  0.8126041014  0.812604101
#>  [8337,]  2.421031e-01  2.421031e-01  0.2421030548  0.572786651
#>  [8338,]  2.954220e-01  2.954220e-01  0.7034662515  0.583145295
#>  [8339,]  7.311909e-01  1.770251e-01  0.7311908510  0.731190851
#>  [8340,]  1.841147e-01  5.734024e-01  0.1841147262  0.573402437
#>  [8341,]  2.075192e-01  3.574039e-01  0.2921357011  0.848556561
#>  [8342,]  1.325952e-01  6.458419e-01  0.5267825033  1.317023498
#>  [8343,] -1.695786e-01  8.122815e-01  0.7208005854  0.812281450
#>  [8344,]  3.487906e-01  4.594783e-01  0.3728483697  0.795460768
#>  [8345,]  1.907072e-01  5.130862e-01  0.1907072003  0.889382734
#>  [8346,]  1.055476e-01  5.023057e-01  0.3342713463  1.154383870
#>  [8347,]  5.141148e-01  5.141148e-01  0.5141148427  1.116173128
#>  [8348,]  5.864498e-01  5.864498e-01  0.5864498286  0.586449829
#>  [8349,]  1.543841e-01  4.190462e-01  0.4190462197  0.419046220
#>  [8350,]  4.539810e-01  2.857524e-01  0.4539810188  0.453981019
#>  [8351,]  3.677117e-01  3.677117e-01  0.3677116677  0.367711668
#>  [8352,]  6.355777e-01  6.355777e-01  0.6355776662  0.635577666
#>  [8353,] -1.409479e-01  7.705013e-01  0.7705012845  0.770501285
#>  [8354,]  1.288246e-01  6.390184e-01  0.6390183661  0.639018366
#>  [8355,] -1.064555e-01  7.103202e-01  0.7103202442  0.710320244
#>  [8356,]  5.303817e-01  3.546585e-01  0.5303816999  0.530381700
#>  [8357,]  7.052285e-01  7.052285e-01  0.4878982978  0.705228459
#>  [8358,]  3.771134e-01  5.369290e-01  0.5369290037  0.536929004
#>  [8359,]  2.121221e-01  5.479007e-01  0.2121220953  0.682499821
#>  [8360,]  3.564381e-01  8.658001e-01  0.2820959175  0.917486198
#>  [8361,]  4.122600e-01  4.143055e-01  0.4122599679  0.764387894
#>  [8362,]  4.963471e-01  4.963471e-01  0.4963470537  0.496347054
#>  [8363,]  5.056470e-01  5.056470e-01  0.5056470145  0.505647014
#>  [8364,]  4.638865e-01  8.381177e-01  0.8381176578  0.463886474
#>  [8365,]  7.310034e-02  5.864869e-01  0.5864868970  0.586486897
#>  [8366,]  7.452260e-02  5.652602e-01  0.5652602222  0.565260222
#>  [8367,]  7.049681e-01  7.049681e-01  0.7049681411  0.704968141
#>  [8368,]  9.441056e-02  5.579652e-01  0.5579652341  0.557965234
#>  [8369,]  3.733572e-01  3.733572e-01  0.5515925722  0.373357198
#>  [8370,]  1.436234e-01  6.528194e-01  0.6528193516  0.652819352
#>  [8371,]  3.550159e-01  3.550159e-01  0.2706546289  0.355015887
#>  [8372,]  6.636709e-01  6.636709e-01  0.6636709122  0.663670912
#>  [8373,]  6.112368e-01  4.527512e-01  0.7778505541  0.611236780
#>  [8374,]  4.045864e-01  4.045864e-01  0.4045863895  0.404586390
#>  [8375,]  5.394640e-01  5.394640e-01  0.5394640157  0.607627678
#>  [8376,]  7.613110e-02  4.657042e-01  0.0761310955  0.465704230
#>  [8377,]  5.767116e-01  6.353470e-01  0.5767115603  0.635346952
#>  [8378,]  2.615058e-01  2.615058e-01  0.9720038122  0.972003812
#>  [8379,]  2.725322e-01  4.413016e-01  0.0782697140  1.065212951
#>  [8380,]  1.653138e-01  6.176704e-01  0.1653138044  0.660975800
#>  [8381,]  2.893448e-01  2.893448e-01  0.6261559219  0.289344848
#>  [8382,]  7.824530e-02  7.824530e-02  0.0782452994  1.088673848
#>  [8383,]  8.311426e-02  3.836746e-01  0.4222399970  0.422239997
#>  [8384,]  3.302729e-01  1.376689e-01 -0.1725787177  0.877809686
#>  [8385,]  3.575369e-01  3.575369e-01  0.3575368779  0.459438625
#>  [8386,]  2.295608e-01  4.615354e-01  0.4615354003  0.793244920
#>  [8387,]  9.993964e-02  7.567791e-01  0.8144141129  0.756779062
#>  [8388,]  2.630682e-02  4.186151e-01  0.6900662501  0.622900927
#>  [8389,] -1.477754e-01  1.610806e-01  0.7759886671  0.845101204
#>  [8390,]  6.409273e-01  4.248517e-01  0.2680332442  0.640927255
#>  [8391,]  3.555494e-01  5.423696e-01  0.5423695609  0.355549354
#>  [8392,]  5.450752e-01  5.450752e-01  0.5450751759  0.545075176
#>  [8393,]  7.468104e-01  7.468104e-01  0.7468103647  0.746810365
#>  [8394,]  7.026992e-01  7.026992e-01  0.7026991940  0.702699194
#>  [8395,]  3.673039e-01  3.673039e-01  0.3673038516  0.367303852
#>  [8396,]  4.968824e-01  4.968824e-01  0.4968823527  0.496882353
#>  [8397,]  6.977503e-01  6.977503e-01  0.6977502617  0.697750262
#>  [8398,]  4.228892e-01  4.228892e-01  0.4228891845  0.422889184
#>  [8399,]  4.784433e-01  4.784433e-01  0.4784432907  0.478443291
#>  [8400,]  3.553610e-01  3.553610e-01  0.6987116833  0.698711683
#>  [8401,]  3.978551e-01  3.978551e-01  0.3978550912  1.032416171
#>  [8402,]  4.201596e-01  4.201596e-01  0.4201596323  0.958242050
#>  [8403,]  2.961348e-01  2.961348e-01  0.6733912683  0.296134846
#>  [8404,]  5.547434e-01  6.526271e-01  0.5547433574  0.554743357
#>  [8405,]  6.220608e-01  2.827069e-01  0.6524905600  0.652490560
#>  [8406,] -8.342083e-02  4.699117e-01  0.4699117409  0.469911741
#>  [8407,]  4.056068e-01  4.056068e-01  0.4056067710  0.405606771
#>  [8408,]  5.164492e-01  5.164492e-01  0.5164491791  0.516449179
#>  [8409,] -7.217450e-02  6.638351e-01  0.4208839821  0.663835059
#>  [8410,] -1.113918e-01  4.959726e-01  0.4959725693  0.495972569
#>  [8411,]  1.353979e-02  6.305550e-01  0.7482191021  0.748219102
#>  [8412,]  3.666670e-01  6.959617e-01  0.6959617114  0.695961711
#>  [8413,]  4.443846e-01  4.573569e-01  0.4443846139  0.433948704
#>  [8414,]  5.465135e-01  5.465135e-01  0.5465134590  0.634976280
#>  [8415,]  8.300459e-01  8.300459e-01  0.8300458746  0.823397076
#>  [8416,]  2.497093e-01  1.169008e+00  0.6591468780  0.659146878
#>  [8417,]  4.185312e-01  4.185312e-01  0.5937369848  0.768772959
#>  [8418,]  9.445414e-02  6.838590e-01  0.6838589561  0.683858956
#>  [8419,] -3.295806e-01  7.182689e-01  0.7182688930  0.718268893
#>  [8420,]  1.068348e-01  6.793901e-01  0.6793901358  0.679390136
#>  [8421,]  3.752758e-01  6.892176e-01  0.6892176386  0.689217639
#>  [8422,] -5.435516e-02  6.224104e-01  0.6224104028  0.622410403
#>  [8423,]  4.377196e-02  3.490879e-02  0.4417543921  0.872649756
#>  [8424,]  2.494949e-01  2.494949e-01  0.9345692007  0.934569201
#>  [8425,]  1.994322e-01  4.771836e-01  0.7082195037  1.001643556
#>  [8426,]  6.326643e-02  5.334809e-01  0.0632664277  0.894167600
#>  [8427,]  3.717097e-01  3.717097e-01  0.4346418133  0.926482243
#>  [8428,]  4.572734e-01  4.572734e-01  0.4324193696  0.687741228
#>  [8429,]  3.469794e-01  8.060168e-01  0.4113898834  0.806016806
#>  [8430,]  6.846403e-02  9.765220e-01  0.3513907954  0.178262095
#>  [8431,] -1.059557e-01  7.204265e-01 -0.2810308404  0.720426497
#>  [8432,]  6.086288e-02  1.116954e+00  1.1169544156  0.892836184
#>  [8433,]  2.953556e-01  5.721833e-01  0.9810613658  0.613927810
#>  [8434,]  1.457200e-01  3.991305e-01  0.7936923053  0.706184276
#>  [8435,]  1.717486e-01  4.119289e-01  0.4119289452  0.549800074
#>  [8436,]  5.565981e-01  8.263447e-01  0.3140991795  0.826344738
#>  [8437,] -1.499046e-01  2.060457e-01  0.8227945646  0.206045735
#>  [8438,]  9.300392e-03  7.117066e-01  0.7439725178  0.743972518
#>  [8439,]  3.482583e-01  3.482583e-01  0.3482583475  0.889942605
#>  [8440,]  4.713255e-01  7.082341e-01  0.4713254671  0.708234105
#>  [8441,]  6.915487e-01  6.915487e-01  0.6915487285  0.691548728
#>  [8442,]  5.350913e-01  5.953992e-01  0.5953992167  0.535091267
#>  [8443,]  5.180386e-01  5.914776e-01  0.5180385798  0.591477628
#>  [8444,]  5.584842e-01  5.584842e-01  0.4619669711  0.796556152
#>  [8445,]  1.853954e-01  1.853954e-01  0.1853954204  1.026776496
#>  [8446,]  3.464344e-02  4.868552e-01  0.4868552117  0.486855212
#>  [8447,]  5.349005e-01  5.349005e-01  0.5349004839  0.534900484
#>  [8448,]  4.238053e-01  4.238053e-01  0.4238052858  0.423805286
#>  [8449,]  2.613407e-01  2.613407e-01  0.2613406720  0.261340672
#>  [8450,]  6.724324e-01  5.464149e-01  0.3605589722  0.775233871
#>  [8451,] -7.237426e-02  6.099406e-01  0.6099406349  1.362609065
#>  [8452,] -1.255221e-01  8.565946e-01  1.0855901417  1.169274553
#>  [8453,]  9.183348e-03  6.942634e-01  0.6942634394  0.694263439
#>  [8454,]  2.689926e-01  2.689926e-01  0.2689926324  0.268992632
#>  [8455,]  1.216624e-02  1.216624e-02  0.8176169627  0.817616963
#>  [8456,]  3.051083e-01  5.933228e-01  0.5933228111  0.593322811
#>  [8457,]  4.746553e-01  4.746553e-01  0.2955836822  0.588981565
#>  [8458,] -3.059112e-01  4.578893e-01  0.4578893433  0.457889343
#>  [8459,]  6.166072e-01  6.166072e-01  0.5703138369  0.616607200
#>  [8460,]  3.623563e-01  3.623563e-01  0.3623563215  0.596712521
#>  [8461,]  3.252001e-01  8.368201e-01  0.7750674660  0.775067466
#>  [8462,] -2.315030e-01  1.079398e+00  0.4936968386  0.493696839
#>  [8463,]  2.930354e-01  5.573366e-01  0.5573365989  1.111562657
#>  [8464,]  2.826326e-01  5.208179e-01  0.2826325993  0.282632599
#>  [8465,]  4.730601e-01  4.730601e-01  0.4730600836  0.473060084
#>  [8466,]  3.094101e-01  4.136677e-01  0.3094101053  0.717638612
#>  [8467,]  3.182729e-01  3.182729e-01  0.6597164930  0.659716493
#>  [8468,]  6.091766e-01  6.091766e-01  0.6091766159  0.609176616
#>  [8469,]  5.488095e-01  5.488095e-01  0.5488094870  0.548809487
#>  [8470,]  3.897821e-01  3.897821e-01  0.3897820680  0.389782068
#>  [8471,]  4.758128e-01  4.758128e-01  0.4758128189  0.475812819
#>  [8472,]  3.572876e-01  5.543739e-01  0.3572875933  0.554373859
#>  [8473,]  2.725880e-01  3.496366e-01  0.3388713670  0.349636586
#>  [8474,] -9.800296e-03  1.530429e-01 -0.0098002962  0.766068905
#>  [8475,] -1.840270e-01  5.973816e-01  0.2323938344  0.597381580
#>  [8476,]  1.983608e-01  8.838112e-01  0.2901898137  0.537614085
#>  [8477,]  3.946849e-02  2.229817e-01  0.2967232725  0.296723272
#>  [8478,]  1.798632e-01  4.119495e-01  0.4252963125  0.425296312
#>  [8479,]  6.351630e-01  9.111627e-01  0.9111627079  0.635163033
#>  [8480,]  2.573848e-01  2.684701e-01  0.8483638352  1.007048651
#>  [8481,]  6.509366e-02  4.296219e-01  0.6866569111  0.686656911
#>  [8482,]  1.129919e-01  1.813982e-01  0.1443156548  0.543651447
#>  [8483,]  3.611021e-01  3.174614e-02  0.9295293978  1.018763274
#>  [8484,]  6.275673e-02  4.387587e-01  0.6902615711  1.265197182
#>  [8485,]  2.429896e-01  2.964934e-01  0.3919847272  0.391984727
#>  [8486,]  2.756928e-01  2.756928e-01  0.2756927949  0.275692795
#>  [8487,]  2.560409e-01  6.224041e-01  0.3145369284  0.256040890
#>  [8488,] -1.477935e-02  7.363493e-01  0.2846172686  0.992224391
#>  [8489,]  3.075054e-01  1.098245e+00  0.3400480969  0.715731603
#>  [8490,]  3.610066e-01  3.458722e-01  0.6230539654  0.361006632
#>  [8491,]  6.413784e-01  2.545429e-01  0.5978257585  0.736839116
#>  [8492,]  2.824627e-01  2.824627e-01  0.2824626977  0.282462698
#>  [8493,]  3.555781e-01  3.555781e-01  0.3555780884  0.355578088
#>  [8494,]  5.427952e-01  5.427952e-01  0.5427951965  0.542795196
#>  [8495,]  3.152990e-01  5.619114e-01  0.4116976934  0.561911384
#>  [8496,] -1.685035e-02 -1.685035e-02  0.7239162948  0.858688479
#>  [8497,]  5.561518e-01  5.561518e-01  0.5859716074  0.556151794
#>  [8498,]  4.589302e-01  6.377732e-01  0.4589302424  0.458930242
#>  [8499,]  3.968586e-01  3.968586e-01 -0.1484412296  0.396858626
#>  [8500,]  1.107149e-01  4.785590e-01  0.4785589606  0.960549977
#>  [8501,]  3.823838e-01  3.823838e-01  0.3823838057  1.039893105
#>  [8502,]  1.531115e-01  5.738530e-01  0.5738529930  0.555484701
#>  [8503,]  3.621662e-01  1.416979e-02  0.7955745105  0.588824585
#>  [8504,]  9.736357e-02  2.314230e-01  0.2314229545  0.501967390
#>  [8505,]  1.727829e-01  5.236394e-01  0.5236394400  0.543247611
#>  [8506,]  3.273444e-02  3.273444e-02  0.9073763480  0.907376348
#>  [8507,] -7.848379e-02  2.673929e-01  0.3403683667  0.760878187
#>  [8508,]  3.189066e-01  7.144809e-01  0.3908516843  1.050757664
#>  [8509,] -3.497735e-01  4.857400e-01  0.4067811872  0.485740036
#>  [8510,]  5.066233e-01  6.405087e-01  0.6405087173  0.506623342
#>  [8511,]  6.998894e-01  6.998894e-01  0.4489758318  0.699889411
#>  [8512,]  7.103770e-01  7.103770e-01  0.7103770223  0.509260973
#>  [8513,]  6.868576e-03  4.236217e-01  0.1619601657  1.179755836
#>  [8514,]  1.915998e-01  2.138893e-01  0.1915997766  0.983622579
#>  [8515,]  1.221524e-01  5.863019e-01  0.5863019449  0.586301945
#>  [8516,] -6.879469e-02  7.725074e-01  0.7725074294  0.772507429
#>  [8517,]  2.200372e-01  6.382052e-01  0.6382052186  0.377936035
#>  [8518,]  2.924954e-01  4.871774e-01  0.4667404317  0.866299761
#>  [8519,]  4.565191e-01  6.127110e-01  0.5347293096  0.612711034
#>  [8520,]  2.438217e-01  1.140513e-01  0.8027104538  0.802710454
#>  [8521,]  2.330435e-02  7.249996e-01  0.4605407166  0.724999551
#>  [8522,]  4.410952e-01  3.326842e-01  0.4410952212  0.783551807
#>  [8523,]  6.204386e-01  7.722767e-01  0.7722766744  0.772276674
#>  [8524,] -6.476331e-02  5.789610e-01  0.5789610319  0.847317737
#>  [8525,]  6.855953e-01  6.855953e-01  0.8656122971  0.685595265
#>  [8526,]  3.423168e-01  3.423168e-01  0.5468647219  0.752848427
#>  [8527,] -2.423730e-01  4.870784e-01  0.5041460417  0.487078433
#>  [8528,]  8.075886e-03  5.481779e-01  0.5481778816  0.548177882
#>  [8529,]  6.338409e-01  6.338409e-01  0.6338409199  0.633840920
#>  [8530,]  5.412730e-01  5.412730e-01  0.5412730345  0.541273034
#>  [8531,]  2.746816e-01 -1.324425e-02  0.7373751679  0.737375168
#>  [8532,]  3.484539e-01  4.086626e-01  0.4086626134  0.408662613
#>  [8533,]  3.583552e-01  3.033109e-01  0.3033109093  0.609082999
#>  [8534,]  1.700186e-01  7.816253e-01  0.1700186068  0.673863967
#>  [8535,]  1.948167e-01  5.619126e-01  0.4243641305  0.561912636
#>  [8536,]  5.353717e-01  5.353717e-01  0.5353717103  0.535371710
#>  [8537,] -3.967855e-01  7.404986e-01  0.7404986343  0.740498634
#>  [8538,]  1.281546e-01  5.618622e-01  0.1865902417  0.561862175
#>  [8539,]  2.715729e-01  2.715729e-01  0.2715729323  0.584331385
#>  [8540,]  4.250673e-01  4.250673e-01  0.6053638714  0.605363871
#>  [8541,]  5.697258e-01  5.697258e-01  0.5018510169  0.363906056
#>  [8542,] -5.039244e-01  5.925396e-01  0.4159549298  0.592539625
#>  [8543,]  4.961553e-01  2.378040e-01  0.2378039914  0.786388694
#>  [8544,]  4.770918e-01  4.770918e-01  0.4770917630  0.477091763
#>  [8545,]  6.037073e-01  6.037073e-01  0.5992367378  0.603707310
#>  [8546,]  2.245224e-01  2.245224e-01  0.6587364264  0.751482310
#>  [8547,]  1.358164e-01  5.424377e-01  0.5424376917  0.542437692
#>  [8548,] -1.334080e-01  5.234354e-01  0.5234353776  0.534506996
#>  [8549,]  3.281831e-01  3.281831e-01  0.5330849725  0.420773839
#>  [8550,]  6.807446e-01  3.666448e-01  0.1962388168  0.845916043
#>  [8551,]  1.732714e-01  7.335085e-01  0.2039178336  0.173271420
#>  [8552,]  4.846006e-01  8.706826e-02  0.4846006361  0.484600636
#>  [8553,]  5.118596e-01  1.966826e-01  0.4169927357  0.511859627
#>  [8554,]  7.411546e-02  6.934485e-01  0.6934484940  0.895481154
#>  [8555,]  1.098682e-01  8.178355e-01  0.2938422094  0.976993417
#>  [8556,]  2.141656e-01  8.561398e-01  0.8922982750  0.580498815
#>  [8557,] -8.615621e-02  1.071513e+00  0.6366606714  0.648702625
#>  [8558,]  2.341508e-01  7.073936e-01  0.6078100354  0.707393563
#>  [8559,]  1.859695e-01  7.554987e-01  0.1859695140  0.388143549
#>  [8560,] -2.505902e-01  3.491990e-01  0.5277824243  0.802918269
#>  [8561,]  9.723392e-02  3.545237e-01  0.7281056062  0.728105606
#>  [8562,] -6.380154e-01  6.877762e-01  0.4307753307  0.655069355
#>  [8563,] -3.716250e-01  3.626884e-01  0.5850265011  0.559415300
#>  [8564,] -2.365421e-01  5.934652e-01  0.5951299931  0.895180327
#>  [8565,]  2.331583e-01  6.735688e-01  0.7583176241  1.145889313
#>  [8566,] -7.569645e-03  5.595006e-01  0.4925860826  0.492586083
#>  [8567,]  5.342051e-01  6.805088e-01  0.6805087581  0.680508758
#>  [8568,]  3.526327e-01  3.526327e-01  0.6587227109  0.352632729
#>  [8569,] -3.065746e-01  4.099283e-01  0.5432669538  0.543266954
#>  [8570,]  1.023764e-01  4.721049e-01  0.3572586550  0.587920998
#>  [8571,]  2.360311e-01  6.338153e-01  0.6153878100  0.633815263
#>  [8572,]  1.471569e-01  6.854780e-01  0.6854779676  0.685477968
#>  [8573,] -4.564854e-02  6.076221e-01  0.6076221097  0.607622110
#>  [8574,]  3.519420e-01  3.519420e-01  0.7368913142  0.714412886
#>  [8575,]  7.165296e-01  7.165296e-01  0.7165295510  0.670130410
#>  [8576,]  2.190215e-01  2.274677e-01  1.0321130297  0.527847048
#>  [8577,]  2.165123e-01  6.319110e-01  0.2165123132  0.410310411
#>  [8578,]  3.530058e-01  1.941198e-01  0.1941198180  0.353005836
#>  [8579,]  1.722195e-01  5.444137e-01  0.5846618995  0.584661899
#>  [8580,]  4.428139e-01  4.428139e-01  0.4428139193  0.442813919
#>  [8581,]  3.400308e-01  3.400308e-01  0.3400308258  0.340030826
#>  [8582,]  5.671586e-01  5.671586e-01  0.5671585956  0.567158596
#>  [8583,]  3.708105e-01  5.934915e-01  0.3708105184  0.593491462
#>  [8584,]  9.283338e-02  3.413694e-01  0.9530883845  0.953088384
#>  [8585,] -3.212280e-01  2.538288e-01  0.2151811259  0.914939583
#>  [8586,] -1.210992e-01  3.420379e-01  0.3420378960  0.864112198
#>  [8587,]  1.257041e-01  3.190705e-01  0.1505089499  0.319070452
#>  [8588,] -7.838075e-02  4.757658e-01  0.4757657754  0.475765775
#>  [8589,]  3.751049e-02  5.724050e-01  0.5724050223  0.572405022
#>  [8590,] -1.258340e-01  8.002316e-01  0.7986087695  0.800231568
#>  [8591,] -2.804503e-01  5.321964e-01  0.6405864305  0.841908552
#>  [8592,]  1.065663e-01  5.351756e-01  0.5351756233  0.660849660
#>  [8593,]  4.754714e-01  4.754714e-01  0.3978406436  0.475471400
#>  [8594,]  4.847736e-01  4.847736e-01  0.4847735912  0.484773591
#>  [8595,]  4.941047e-01  3.670035e-01  0.3314689684  0.494104732
#>  [8596,]  1.241689e-01  1.241689e-01  0.5265634625  0.526563463
#>  [8597,]  5.511537e-01  5.511537e-01  0.5511537027  0.781284404
#>  [8598,]  2.154932e-01  4.752648e-01  0.4752647968  0.475264797
#>  [8599,]  1.207812e-01  8.952879e-01  0.1207811718  0.895287897
#>  [8600,] -4.371761e-03  1.864290e-01  0.5885050622  0.588505062
#>  [8601,]  1.230907e-01  4.471820e-01  0.4471820020  0.447182002
#>  [8602,]  5.517833e-01  5.517833e-01  0.5517833127  0.551783313
#>  [8603,]  7.372851e-01  7.372851e-01  0.7372850854  0.737285085
#>  [8604,]  5.767493e-01  5.767493e-01  0.5767492825  0.576749282
#>  [8605,]  6.666562e-01  6.666562e-01  0.4962818466  0.666656228
#>  [8606,] -2.777320e-02  3.474829e-01  0.3474828869  0.347482887
#>  [8607,]  5.044656e-01  5.044656e-01  0.5044656087  0.504465609
#>  [8608,] -1.476536e-01  5.881492e-01  0.5881491970  0.588149197
#>  [8609,]  2.502083e-01  2.415814e-01  0.2080498698  0.901159339
#>  [8610,]  1.028975e-01  4.240084e-01  0.7054019295  0.705401930
#>  [8611,] -4.232071e-01  1.058930e-01  0.5023209300  0.325391279
#>  [8612,]  3.764821e-01  4.795608e-01  0.3975166377  0.827820343
#>  [8613,]  2.318767e-01  2.318767e-01  0.2318767165  1.111016280
#>  [8614,]  5.104938e-02  4.701919e-01  0.4701919311  0.703972148
#>  [8615,]  3.241062e-01  6.619683e-01  0.6619682744  0.744354166
#>  [8616,]  2.962271e-01  5.117673e-01  0.5117672679  0.511767268
#>  [8617,]  4.918815e-01  5.611712e-01  0.5611711908  0.900808755
#>  [8618,]  3.484808e-01  3.484808e-01  0.3484808362  0.718905890
#>  [8619,]  3.559822e-01  3.559822e-01  0.3734829711  0.355982217
#>  [8620,]  2.233572e-01  7.782734e-01  0.3166531347  0.223357237
#>  [8621,]  1.703553e-01  1.703553e-01  0.4461302406  0.446130241
#>  [8622,]  6.154637e-01  4.454590e-01  0.8369061851  0.615463665
#>  [8623,] -1.251619e-01  7.751657e-01  0.6464255214  0.638460461
#>  [8624,]  4.135729e-01  6.571923e-01  0.4135728568  0.413572857
#>  [8625,]  4.085849e-01  4.085849e-01  0.4085848566  0.408584857
#>  [8626,]  7.535716e-01  7.535716e-01  0.7535716359  0.753571636
#>  [8627,]  5.849010e-01  5.849010e-01  0.5849010463  0.584901046
#>  [8628,]  5.806118e-01  3.385491e-01  0.4058211284  0.580611750
#>  [8629,]  5.916321e-01  8.377786e-01  0.5916320574  0.995245833
#>  [8630,] -1.949226e-01  8.559272e-01  0.5961734133  0.596173413
#>  [8631,] -2.501111e-01  1.158787e+00  0.6463641325  0.646364133
#>  [8632,]  6.271806e-02  2.981348e-01  0.8291278559  0.829127856
#>  [8633,]  3.127663e-01  4.364697e-01  0.6172276573  0.600958137
#>  [8634,]  2.437191e-01  5.849898e-01  0.4355023558  0.456271069
#>  [8635,]  3.650336e-01  6.182525e-01  0.3550289852  1.088536327
#>  [8636,]  2.899669e-01  1.434849e-01  0.8427532635  0.842753263
#>  [8637,]  3.959103e-01  3.335110e-01  0.8270762027  0.444238414
#>  [8638,]  1.197832e-01  5.409598e-01  0.4994332843  0.499433284
#>  [8639,] -7.096271e-02  5.688099e-01  0.5971644019  0.461660619
#>  [8640,]  3.907096e-01  5.432950e-01  0.5432949565  0.604146940
#>  [8641,]  4.083474e-01  5.179557e-01  0.5179557073  0.417263870
#>  [8642,]  4.082423e-01  4.082423e-01  0.4082423102  0.408242310
#>  [8643,]  5.510166e-01  5.510166e-01  0.5510166496  0.551016650
#>  [8644,]  2.043875e-01  5.524754e-01  0.5524754265  0.191307752
#>  [8645,]  6.567925e-02  4.924125e-01  0.7480834271  0.492412537
#>  [8646,]  3.617953e-01  6.203832e-01  0.6203831925  0.620383192
#>  [8647,]  5.913969e-01  7.063448e-01  0.7063448424  0.591396908
#>  [8648,]  4.853415e-01  6.454706e-01  0.4853414720  0.645470607
#>  [8649,]  9.927041e-03  5.237933e-01  0.7166021255  0.716602125
#>  [8650,]  2.525162e-01  6.099993e-01  0.6099993118  0.609999312
#>  [8651,]  1.016860e-01  5.764887e-01  0.5764886504  0.576488650
#>  [8652,]  4.418199e-01  4.418199e-01  0.4418199121  0.441819912
#>  [8653,]  2.510344e-01  5.588078e-01  0.5588077560  0.558807756
#>  [8654,] -5.872966e-02  5.048124e-01  0.5048124409  0.766747294
#>  [8655,]  2.212580e-01  2.212580e-01  0.3629772936  0.140688562
#>  [8656,]  2.560354e-02  5.454557e-02  0.6446802987  0.644680299
#>  [8657,]  1.193074e-01  7.736732e-01  0.7736731642  0.773673164
#>  [8658,] -9.379035e-02  5.995206e-01  0.7578737201  0.599520639
#>  [8659,] -1.835382e-02  5.349671e-01  0.6613597297  0.661359730
#>  [8660,]  2.038073e-01  3.639961e-01  0.8950534256  0.891338722
#>  [8661,] -3.288918e-02  1.991262e-01  0.1991262398  0.199126240
#>  [8662,]  6.413451e-01  6.413451e-01  0.6413451068  0.641345107
#>  [8663,]  6.881306e-01  6.881306e-01  0.6881305998  0.688130600
#>  [8664,]  4.615336e-01  4.615336e-01  0.4615336144  0.461533614
#>  [8665,]  5.340147e-01  2.313622e-01  0.5340147480  0.534014748
#>  [8666,]  4.598543e-01  6.679706e-01  0.4598543403  0.459854340
#>  [8667,] -1.287032e-01  5.407802e-01  0.6336026754  0.633602675
#>  [8668,] -7.581443e-02  4.976350e-01  0.2700382452  0.882256140
#>  [8669,]  1.300803e-01  5.359119e-01  0.5359118730  0.733071287
#>  [8670,]  3.013763e-01  3.205906e-01  0.2159818407  0.852236587
#>  [8671,]  1.871832e-01  3.261852e-01  0.1714009229  0.985756647
#>  [8672,]  9.428452e-02  1.245894e-01  0.7422265850  0.907692259
#>  [8673,] -3.133734e-01  2.965839e-01  0.6471761756  0.949988073
#>  [8674,]  1.412920e-01  2.293231e-01 -0.0056033350  0.732380999
#>  [8675,]  1.528591e-01  7.114142e-01  0.7114141504  0.711414150
#>  [8676,]  1.569882e-01  7.717000e-01  0.7716999513  0.771699951
#>  [8677,]  1.201104e-01  4.044872e-02  0.5671868833  0.756267722
#>  [8678,]  7.657622e-02  8.165513e-01  0.8165513335  1.100939933
#>  [8679,] -3.498585e-01  8.316731e-01  0.8316730698  0.635106017
#>  [8680,]  1.014244e-01  8.923015e-01  0.9806518665  0.558802187
#>  [8681,]  3.853082e-01  7.912336e-01  0.7912335547  0.791233555
#>  [8682,]  2.307876e-01  6.066708e-01  0.6066707502  0.606670750
#>  [8683,]  6.142546e-01  7.737311e-01  0.6142545882  0.614254588
#>  [8684,]  1.636955e-02  6.481379e-01  0.1600451162  0.648137884
#>  [8685,]  5.302377e-01  5.302377e-01  0.5302376506  0.530237651
#>  [8686,]  4.685413e-01  4.685413e-01  0.4685413129  0.468541313
#>  [8687,] -7.279790e-02  9.921783e-01  0.9921783182  0.617727231
#>  [8688,]  3.337207e-01  6.730433e-01  0.3171446005  0.673043309
#>  [8689,] -2.115545e-01  3.316881e-01  0.7119277806  0.805463106
#>  [8690,] -2.938939e-01  4.412527e-01  0.4687823644  1.060024379
#>  [8691,]  5.028264e-01  5.028264e-01  0.4478402231  0.714116182
#>  [8692,]  5.067273e-01  3.683521e-01  0.8781466550  0.878146655
#>  [8693,]  4.304822e-01  2.978979e-01  0.2978978816  0.297897882
#>  [8694,]  5.203859e-01  5.203859e-01  0.5203858578  0.520385858
#>  [8695,]  3.226122e-01  3.226122e-01  0.3226121675  0.322612167
#>  [8696,]  3.200735e-01  3.200735e-01  0.3200734704  0.320073470
#>  [8697,]  3.600577e-01  3.600577e-01  0.3600577452  0.933196787
#>  [8698,]  8.223279e-01  6.936314e-01  0.2813593957  0.822327879
#>  [8699,]  1.271366e-01  1.271366e-01  0.1271365847  0.974566315
#>  [8700,]  3.247405e-01  3.247405e-01  0.9155107072  0.915510707
#>  [8701,]  7.232929e-01  4.895111e-01  0.7232929486  0.723292949
#>  [8702,]  5.348151e-01  5.348151e-01  0.5348150951  0.534815095
#>  [8703,]  5.474036e-01  5.474036e-01  0.5474036294  0.547403629
#>  [8704,]  4.078333e-01  3.904222e-01  0.4078333187  0.390422220
#>  [8705,]  5.251463e-01  5.251463e-01  0.6671320589  0.667132059
#>  [8706,] -3.065489e-01  7.575639e-01  0.4983201109  0.757563896
#>  [8707,]  5.796809e-01  4.280813e-01  0.5796809413  0.579680941
#>  [8708,]  1.806845e-01  5.564509e-01  0.5564509415  0.926204476
#>  [8709,]  3.660159e-01  7.324166e-01  0.4466993518  0.852071660
#>  [8710,]  2.136625e-01  4.905201e-01  0.8285199847  0.658722915
#>  [8711,]  2.079875e-01  6.817664e-01  0.6817663626  0.681766363
#>  [8712,]  1.045850e-01  1.156640e-01  0.3953640073  0.395364007
#>  [8713,]  2.835972e-01  5.161078e-01  0.2835972496  0.516107833
#>  [8714,]  1.526826e-01  1.526826e-01  0.3307627672 -0.046629364
#>  [8715,]  6.818820e-01  6.818820e-01  0.6818819946  0.681881995
#>  [8716,]  1.270135e-01  1.775001e-01  0.1775000577  0.945149237
#>  [8717,] -5.746367e-01  3.500132e-01  0.2449783941  0.350013158
#>  [8718,] -4.226953e-01  7.612788e-01 -0.1397819343  0.529822341
#>  [8719,]  2.107454e-01  6.456543e-01  0.5732444371  0.573244437
#>  [8720,]  3.605205e-01  5.614595e-01  0.5614595376  0.490386750
#>  [8721,]  7.445111e-02  4.825313e-01  0.5136308721  0.655814328
#>  [8722,]  2.927820e-01  3.328271e-01  0.5781436023  0.609038291
#>  [8723,]  2.793594e-01  2.793594e-01  0.4993209034  0.780046536
#>  [8724,]  3.274801e-01  3.274801e-01  0.3274801483  1.061602772
#>  [8725,]  4.907974e-01  4.907974e-01  0.4907974266  0.954064442
#>  [8726,]  6.252910e-01  6.252910e-01  0.5417782658  0.541778266
#>  [8727,]  1.597692e-01  5.855478e-01  0.3071662213  0.585547817
#>  [8728,]  3.901761e-01  4.948031e-01  0.3495171435  0.873882367
#>  [8729,]  6.562821e-01  1.774805e-01  0.7332517751  0.656282142
#>  [8730,]  4.544511e-01  3.634061e-01  0.6850855601  0.363406098
#>  [8731,] -5.168951e-02  4.628432e-02  0.7935547183  0.297038202
#>  [8732,]  1.925548e-01  5.590866e-01  0.1925547938  0.654176645
#>  [8733,]  3.108986e-01  3.052247e-01  0.3052246890  1.013254464
#>  [8734,] -3.614843e-01  2.783900e-01  0.2783899560  0.932591719
#>  [8735,] -1.651085e-01  3.852730e-01  0.9432916775  0.943291677
#>  [8736,]  3.137973e-01  3.137973e-01  0.7921119157  0.792111916
#>  [8737,]  3.034870e-01  6.906628e-01  0.6906628145  0.690662815
#>  [8738,]  2.961144e-01  3.677446e-01  0.4895827477  0.624429276
#>  [8739,]  2.989609e-01  4.228719e-01  0.4536624536  0.723033270
#>  [8740,]  1.006177e-01  2.662054e-01  0.6633546739  0.711669155
#>  [8741,]  3.608490e-01  5.441715e-01  0.5019425948  0.661057503
#>  [8742,] -2.600765e-01  3.644536e-01  1.0072153692  0.329405698
#>  [8743,] -1.541096e-01 -1.541096e-01  0.2665088186  0.588445401
#>  [8744,]  5.320004e-01  3.682713e-02  0.5320004032  0.519263748
#>  [8745,]  1.433138e-01  1.219710e-01  0.1433137529  0.802981816
#>  [8746,] -2.317722e-01  7.633907e-02  0.5493540531  1.002472674
#>  [8747,]  5.916558e-01  8.930966e-02  0.4747467604  0.072172852
#>  [8748,]  5.510920e-01  2.249903e-01  0.4132363874  0.551091993
#>  [8749,]  4.860287e-01  4.718006e-01  0.2144557817  0.667407134
#>  [8750,]  3.898861e-01  1.540872e-01  0.6856882339  0.685688234
#>  [8751,]  3.144715e-01  5.876135e-01  0.5876135373  0.912058905
#>  [8752,]  1.045393e-02  8.648944e-01  0.0104539343  0.864894430
#>  [8753,] -2.379986e-02  7.133361e-01  0.3704373710  0.370437371
#>  [8754,] -8.925729e-02  6.267377e-01  0.6267376732  0.725097731
#>  [8755,] -1.917513e-01  1.868001e-01  0.4966036868  0.895497822
#>  [8756,] -1.415147e-01  9.653199e-01 -0.1415147340  0.965319922
#>  [8757,]  2.043147e-01  5.483184e-01  0.5483183626  0.548318363
#>  [8758,]  5.309952e-01  5.160021e-01  0.5160021093  0.516002109
#>  [8759,]  4.908528e-01  4.908528e-01  0.4908527593  0.490852759
#>  [8760,]  9.103434e-01  7.649601e-01  0.7649601043  0.910343426
#>  [8761,]  3.466499e-01  3.427492e-01  0.3466499456  0.763252133
#>  [8762,]  4.842521e-01  4.842521e-01  0.4842521000  1.039483035
#>  [8763,]  3.157875e-01  3.157875e-01  0.3157875165  0.315787517
#>  [8764,]  3.355915e-01  3.659478e-01  0.6212845901  0.335591537
#>  [8765,]  3.351828e-01  4.810687e-01  0.7449721348  0.335182771
#>  [8766,]  2.865068e-01  8.627798e-01  0.4270576205  0.862779784
#>  [8767,]  6.056589e-01  6.056589e-01  0.4489260662  0.731993084
#>  [8768,]  2.206853e-02  2.399604e-01  0.7169638330  0.716963833
#>  [8769,]  4.177810e-01  4.878423e-01  0.4878422938  0.487842294
#>  [8770,]  8.114481e-02  6.309822e-01  0.0208628387  0.630982193
#>  [8771,]  8.606692e-02  6.706191e-01  0.6706190576  0.450490583
#>  [8772,]  2.985428e-01  3.770282e-01  0.3770282444  1.033026197
#>  [8773,]  7.670798e-01  5.929243e-01  0.4232519988  0.423251999
#>  [8774,]  3.065937e-01  7.197606e-01  0.7197605650  0.719760565
#>  [8775,]  4.632582e-01  5.993667e-01  0.3254201960  0.510898932
#>  [8776,]  1.090528e-01  7.470636e-01  0.3860985550  0.429441150
#>  [8777,] -2.522520e-02  6.503309e-01  0.8789165918  0.438292671
#>  [8778,] -3.112654e-01  6.460596e-01  0.6460596145  0.459757038
#>  [8779,] -5.240913e-01  9.403252e-01  0.6177833633  0.617783363
#>  [8780,]  1.627848e-01  6.477452e-01  0.7497660934  0.602112276
#>  [8781,] -7.829639e-03  6.287505e-01  0.6287504712  0.628750471
#>  [8782,]  9.309955e-02  7.172721e-01  0.0930995494  0.717272055
#>  [8783,]  4.216375e-01  7.942577e-01  0.4216374984  0.353689354
#>  [8784,]  1.115570e-01  1.115570e-01  0.1115570247  0.111557025
#>  [8785,]  3.114698e-01  3.114698e-01  0.3114697520  0.284731518
#>  [8786,]  1.012041e-01  1.012041e-01  0.7493437026  0.749343703
#>  [8787,]  4.767847e-01  4.767847e-01  0.4767847371  0.476784737
#>  [8788,]  3.608318e-01  5.871495e-01  0.3608317973  0.884918797
#>  [8789,]  6.801185e-01  2.436839e-01  0.6801184953  0.680118495
#>  [8790,]  2.979517e-01  1.132311e+00  0.4361053701  0.436105370
#>  [8791,]  2.156652e-01  1.282026e+00  0.2156651695  0.461166690
#>  [8792,]  3.506869e-01  4.394316e-01  0.3506869293  0.439431644
#>  [8793,]  5.882769e-01 -5.224556e-02  0.3272564660  0.327256466
#>  [8794,]  6.092445e-01 -3.531995e-02  0.6092444819  0.609244482
#>  [8795,]  4.683212e-01  3.607324e-01  0.3607324434  0.893144614
#>  [8796,]  5.116295e-01  6.223800e-01  0.5116295066  0.511629507
#>  [8797,] -3.125773e-02  5.913970e-01  0.7211860580  0.591397015
#>  [8798,]  6.299992e-02 -2.461748e-02  0.5543028250  0.554302825
#>  [8799,] -3.548565e-01  5.721359e-01  0.5721358514  0.572135851
#>  [8800,]  6.980129e-01  6.980129e-01  0.6980128698  0.698012870
#>  [8801,] -7.104821e-02  7.866232e-01  0.7866231548  0.786623155
#>  [8802,]  2.873430e-01  7.496592e-01  0.7496591859  0.749659186
#>  [8803,]  3.084972e-01  4.988765e-01  0.3084971928  0.297953778
#>  [8804,]  2.900137e-01  4.008072e-01  0.4008072031  0.515784372
#>  [8805,]  5.213155e-01  4.273516e-01  0.3270221560  0.734948671
#>  [8806,]  6.879886e-01  5.358412e-01  0.5232264276  0.746122026
#>  [8807,]  2.859572e-01  5.956758e-01  0.5444637020  0.544463702
#>  [8808,]  1.313042e-01  2.191575e-01  0.9025216680  0.251275513
#>  [8809,]  5.036440e-01  2.252131e-01  0.5707657197  0.225213136
#>  [8810,]  5.184228e-01  1.646673e-01  0.7585943154  0.502755426
#>  [8811,]  1.904528e-01 -1.539746e-01  1.2127311391  0.419016172
#>  [8812,]  1.208769e-01  2.261756e-01  0.8986266313  0.753046364
#>  [8813,]  3.012358e-01  3.027132e-01  0.6142195886  0.614219589
#>  [8814,]  4.105194e-01  4.105194e-01  0.4105193569  0.581138012
#>  [8815,]  2.112794e-01  8.949881e-01  0.5539663828  0.894988144
#>  [8816,] -3.102796e-01  6.362744e-01  0.6362744249  0.636274425
#>  [8817,]  3.411597e-02  5.430640e-01  0.5430639870  0.543063987
#>  [8818,]  1.503518e-01  5.304129e-01  0.4268087272  0.530412933
#>  [8819,]  2.588175e-01  2.588175e-01  0.2588175148  0.839107590
#>  [8820,] -1.249987e-01  7.387911e-01  0.7387910695  0.749883851
#>  [8821,]  2.140615e-01  5.842408e-01  0.1877626960  0.584240818
#>  [8822,]  1.916791e-01  3.161270e-01  0.1888035299  0.689783216
#>  [8823,]  1.855908e-01  1.855908e-01  0.7046240059  0.704624006
#>  [8824,]  1.577272e-01  7.412524e-01  0.7412524343  0.431028981
#>  [8825,] -1.915458e-01  6.453799e-01  0.6453798845  0.645379884
#>  [8826,] -1.858794e-01  6.457586e-01  0.6457586116  0.645758612
#>  [8827,]  1.184714e-01  7.212373e-01  0.7212373188  0.721237319
#>  [8828,]  1.753561e-01  4.410816e-01  0.1753561065  0.763879458
#>  [8829,] -2.887084e-01  3.970486e-01  0.3970485929  0.756941472
#>  [8830,] -6.974010e-02  4.937545e-01  0.4937544921  0.493754492
#>  [8831,]  2.500517e-01  5.780214e-01  0.5780213601  0.578021360
#>  [8832,]  3.070906e-01  5.623255e-01  0.2831490784  0.609954020
#>  [8833,]  1.690231e-01  5.161662e-01  0.5161661985  0.691043109
#>  [8834,]  1.964127e-01  7.089413e-01  0.3774886782  0.708941329
#>  [8835,] -1.352809e-01  8.291090e-01  0.8605805945  0.829108955
#>  [8836,]  6.682909e-02  4.314200e-01  0.4314200007  0.408604304
#>  [8837,]  2.964663e-01  6.463104e-01  0.8813282609  0.634051594
#>  [8838,] -1.228843e-01  7.270809e-01  0.5557240760  0.727080859
#>  [8839,]  6.267007e-01  8.859672e-01  0.3491298977  0.664553355
#>  [8840,] -1.266398e-01  3.428473e-01 -0.0371665068  0.616180077
#>  [8841,]  2.874881e-01  8.033752e-01  0.2874881232  0.287488123
#>  [8842,]  3.311984e-01  3.311984e-01  0.7276848973  0.727684897
#>  [8843,] -1.120837e-02  4.999807e-01  0.4999806744  0.860134255
#>  [8844,] -2.326406e-01  5.372960e-01  0.6785987460  0.768940051
#>  [8845,]  4.001595e-02  3.758296e-01  0.7347364991  0.734736499
#>  [8846,]  2.939980e-01 -2.612256e-02  0.4191862652  0.293998001
#>  [8847,]  6.760817e-01  6.760817e-01  0.6760816600  0.803752046
#>  [8848,]  9.051574e-02  7.574449e-01  0.3937736131  0.393773613
#>  [8849,]  4.493608e-01  1.241176e-01  0.4493608490  0.449360849
#>  [8850,]  3.650593e-01  4.153526e-01  0.4153525874  0.415352587
#>  [8851,]  3.826740e-01  5.681416e-01  0.5286098917  0.635786006
#>  [8852,]  3.326965e-01  3.326965e-01  0.8157995227  0.501578765
#>  [8853,]  1.113928e-01  4.822847e-01  0.4822846585  1.009447061
#>  [8854,]  4.821788e-01  4.618948e-01  0.4618948109  1.210175830
#>  [8855,]  4.189072e-01  7.741994e-01  0.3441759285  0.774199410
#>  [8856,]  2.374702e-01  4.510865e-01  0.4973864702  0.753643176
#>  [8857,]  4.187139e-01  5.490257e-01  0.4820458671  0.418713948
#>  [8858,]  4.475164e-01  4.475164e-01  0.4475164243  0.447516424
#>  [8859,]  1.101768e-01  7.720012e-01  0.7720011907  0.772001191
#>  [8860,]  1.492952e-01  5.425407e-01  0.3897197006  0.542540735
#>  [8861,]  3.215191e-01  6.836198e-01  0.6836197502  0.683619750
#>  [8862,]  4.915282e-01  4.915282e-01  0.4915281772  0.491528177
#>  [8863,] -1.034520e-02  4.907557e-01  0.4907557103  0.949583891
#>  [8864,]  8.940784e-02  6.653597e-01  0.7681502790  1.236356732
#>  [8865,]  1.290995e-02  6.777229e-01  0.5874109334  0.452626372
#>  [8866,]  4.215891e-02  3.700029e-01  0.3200223950  0.779605549
#>  [8867,]  4.276770e-01  3.552623e-01  0.2088588925  0.427676973
#>  [8868,]  4.775824e-01  1.292793e-01  0.4775824327  0.477582433
#>  [8869,]  1.414494e-01  1.414494e-01  0.1414494312  0.669782988
#>  [8870,]  1.145840e-01  5.317846e-01  0.4657801256  0.465780126
#>  [8871,]  2.227670e-01  2.227670e-01  0.4381030536  0.772707861
#>  [8872,]  2.003430e-01  4.244072e-01  0.4244071687  0.948413104
#>  [8873,]  3.779261e-01  3.779261e-01  0.6347449554  0.740700404
#>  [8874,] -1.669770e-02  2.657527e-01  0.4698154951  0.469815495
#>  [8875,]  4.694515e-02  6.315683e-01  0.5472727158  0.649997874
#>  [8876,] -1.991784e-01  4.799631e-01  0.6276161528  0.874877687
#>  [8877,]  1.533621e-02  3.227347e-01  0.6858243831  0.891029364
#>  [8878,]  2.048411e-02  5.664223e-01  0.6872152185  0.544661109
#>  [8879,]  7.814861e-04  5.446878e-01  0.6831189016  0.544687788
#>  [8880,]  5.578268e-01  7.728289e-01  0.1954320519  0.349199003
#>  [8881,] -2.283469e-02  2.862449e-01  0.3211744626  0.872273773
#>  [8882,]  9.082458e-02  6.279096e-01  0.6081097432  0.968257047
#>  [8883,] -1.490834e-01  8.961704e-01  0.7754027131  0.903197919
#>  [8884,] -2.323055e-01  5.756560e-01  0.7938443516  0.773134793
#>  [8885,]  9.672389e-02  6.677864e-01  0.7565027282  0.840347752
#>  [8886,]  3.888337e-02  8.651663e-01  0.4933778157  0.865166347
#>  [8887,] -5.771487e-02  4.031068e-01  0.7362459391  1.443104536
#>  [8888,]  3.407169e-02  3.082321e-01  0.7230149058  0.723014906
#>  [8889,]  3.049724e-01  4.420528e-01  0.5204573908  0.432010429
#>  [8890,]  9.376853e-02  7.224275e-01  0.7081282030  0.708128203
#>  [8891,]  6.061389e-02  6.104486e-01  0.2511859408  0.610448593
#>  [8892,]  3.288221e-01  1.955864e-01  0.1955864499  1.147782612
#>  [8893,]  3.998007e-01  3.998007e-01  1.1077899721  1.107789972
#>  [8894,]  5.417995e-01  7.666132e-01  0.5417994546  0.541799455
#>  [8895,]  5.114409e-01  5.114409e-01  0.5114408757  0.511440876
#>  [8896,]  2.901680e-01  2.901680e-01  0.5768556465  0.576855646
#>  [8897,]  4.898855e-01  4.898855e-01  0.4898855155  0.462164718
#>  [8898,]  2.415244e-01  2.415244e-01  0.7223728972  0.241524383
#>  [8899,]  3.924795e-01  6.202356e-01  0.3924794567  0.392479457
#>  [8900,]  4.450177e-01  4.450177e-01  0.4450176969  0.445017697
#>  [8901,]  2.397211e-01  2.397211e-01  0.2397210642  0.239721064
#>  [8902,]  3.375830e-01  3.375830e-01  0.3375830317  0.683682123
#>  [8903,]  3.547800e-01  4.038486e-01  0.6147139269  0.403848582
#>  [8904,]  4.116522e-01  4.116522e-01  0.6206053846  0.411652224
#>  [8905,]  4.614620e-01  4.614620e-01  0.6138087552  0.778013813
#>  [8906,]  5.097063e-01  8.399307e-01  0.7145953105  0.839930681
#>  [8907,]  5.980233e-01  7.538468e-01  0.7538468138  0.598023323
#>  [8908,]  4.154219e-01  4.154219e-01  1.0038413049  1.003841305
#>  [8909,] -1.149052e-01  3.885586e-01  0.3885586197  0.388558620
#>  [8910,]  4.668582e-01  4.668582e-01  0.4668581787  0.466858179
#>  [8911,] -3.240418e-02  6.049090e-01  0.6049090158  0.604909016
#>  [8912,]  4.876190e-01  4.876190e-01  0.2649761648  0.487619016
#>  [8913,]  4.648135e-01  4.648135e-01  0.4648135100  0.400057279
#>  [8914,]  3.060737e-01  4.888805e-01  0.4888804840  0.488880484
#>  [8915,] -1.726393e-01  6.309191e-01  0.6309190706  0.630919071
#>  [8916,] -9.245564e-02  4.310042e-01  0.4310041994  0.677166671
#>  [8917,]  2.820467e-02  1.452698e-01  0.4153785099  1.088658026
#>  [8918,] -1.648011e-01  3.751645e-01  0.3751644535  0.793257529
#>  [8919,] -2.418322e-01  4.289575e-01  0.4289574515  0.742780115
#>  [8920,]  5.953947e-01  5.953947e-01  0.5953946915  0.595394691
#>  [8921,]  1.269295e-01  7.056774e-01  0.7056773520  0.705677352
#>  [8922,] -2.901970e-01  5.887439e-01  0.5887438848  0.588743885
#>  [8923,]  2.390914e-01  8.446242e-01  0.2390914270  0.844624228
#>  [8924,]  1.230516e-01  1.252029e-01  0.1230516197  0.636142573
#>  [8925,]  2.605590e-01  2.605590e-01  0.2605589874  0.543973467
#>  [8926,]  6.907683e-01  6.907683e-01  0.6907683297  0.690768330
#>  [8927,]  6.596922e-01  4.916406e-01  0.6596921655  0.659692165
#>  [8928,]  2.299033e-01  4.845743e-01  0.2299033027  0.484574320
#>  [8929,]  3.051161e-01  3.051161e-01  0.4908464230  0.794173240
#>  [8930,]  3.752461e-01  1.516510e-01  0.1516510394  0.568985255
#>  [8931,]  3.717760e-01  3.717760e-01  0.7509757428  0.697638772
#>  [8932,]  6.159083e-01  6.608560e-01  0.4062979841  0.472654621
#>  [8933,] -2.312158e-01  1.477367e-01  0.1477367355  0.137789522
#>  [8934,]  2.920934e-02  2.920934e-02  0.1666281044  0.839468825
#>  [8935,]  7.118408e-01  3.315679e-01  0.7118408240  0.711840824
#>  [8936,]  3.137577e-01  8.062951e-01  0.8062950884  0.823797086
#>  [8937,]  3.843301e-01  9.454903e-01  0.9803697202  0.970731584
#>  [8938,]  4.450924e-02  5.343714e-01  1.1931368364  0.664804507
#>  [8939,]  3.896170e-01  3.896170e-01  0.3243650591  0.052801455
#>  [8940,]  3.176090e-01  3.176090e-01 -0.2954555791  0.317608980
#>  [8941,]  1.493189e-01  6.801268e-01  0.2732969166  0.419139446
#>  [8942,]  1.668240e-01  6.889882e-01  0.7046760606  0.704676061
#>  [8943,]  3.874801e-01  6.406118e-01  0.3926795499  0.640611765
#>  [8944,]  2.180814e-01  5.447932e-01  0.3601034306  0.544793160
#>  [8945,]  7.946315e-01  4.987222e-01  0.7946315222  0.794631522
#>  [8946,]  1.828649e-01  3.637114e-01  0.3637114434  0.874599283
#>  [8947,]  5.941583e-01  5.936600e-01  0.9977585718  0.593660025
#>  [8948,] -9.258511e-02  6.969844e-01  0.6969844224  0.380621059
#>  [8949,]  3.738367e-02  4.136838e-01  0.4775847537  0.818704158
#>  [8950,]  3.392479e-02  3.776092e-01  0.5677524595  1.154728962
#>  [8951,]  1.328938e-01  5.330190e-02  0.7690957098  0.769095710
#>  [8952,]  2.027509e-01  3.910845e-01  0.6560177886  0.604687577
#>  [8953,]  1.151551e-01  4.291305e-01  0.7793505661  0.779350566
#>  [8954,]  2.181968e-02  6.172705e-01  0.4828454993  0.336548951
#>  [8955,]  1.465988e-01  5.117273e-01  0.3134884588  0.511727333
#>  [8956,]  3.093559e-01  4.334691e-01  0.4404898421  0.440489842
#>  [8957,] -9.989118e-03  7.144337e-01 -0.0099891183  0.993864242
#>  [8958,]  2.382449e-01  3.762611e-01  0.3762611461  0.650411260
#>  [8959,]  6.315073e-02  5.290137e-01  0.8084902366  0.529013711
#>  [8960,]  5.625335e-01  4.073753e-01  0.2893215263  0.562533463
#>  [8961,]  4.648591e-01  8.846827e-01  0.4648591463  0.808741864
#>  [8962,] -4.092371e-01  8.309522e-01  0.8309521513  0.830952151
#>  [8963,]  6.096558e-02  9.852603e-01  0.9852602870  0.715086772
#>  [8964,]  1.505207e-01  4.340578e-01  0.7442699638  0.744269964
#>  [8965,]  5.815464e-01  3.340883e-01  0.2783417619  0.581546406
#>  [8966,]  5.525751e-01  5.525751e-01  0.5525751203  0.622581404
#>  [8967,]  1.530835e-01  1.696784e-01  0.1530835408  0.504339873
#>  [8968,]  2.336522e-01  2.336522e-01  0.2895308935  0.233652155
#>  [8969,]  3.025200e-01  6.167762e-01  0.6167762083  0.269573205
#>  [8970,]  4.649543e-01  4.649543e-01  0.5658846207  0.717924653
#>  [8971,]  6.593163e-01  6.593163e-01  0.1594575570  0.899697276
#>  [8972,]  2.716289e-01  3.915700e-01  0.3862884474  1.055996634
#>  [8973,]  1.209116e-02  4.224980e-01  0.1519413133  1.466164466
#>  [8974,]  2.581092e-01  5.051739e-01  0.3530104535  1.162401170
#>  [8975,]  3.478250e-01  3.478250e-01  0.3478250465  0.347825047
#>  [8976,]  4.382478e-01  4.382478e-01  0.1514809503  0.438247825
#>  [8977,]  2.382205e-01  9.487675e-01  0.9487674761  0.535745736
#>  [8978,]  2.828017e-01  2.828017e-01  0.5026157832  0.502615783
#>  [8979,]  6.875469e-01  6.875469e-01  0.6875468677  0.687546868
#>  [8980,]  4.242670e-01  4.242670e-01 -0.0218484653  0.424266981
#>  [8981,]  4.940670e-01  7.173129e-01  0.7173129152  0.717312915
#>  [8982,]  6.066434e-01  6.066434e-01  0.8827315243  0.882731524
#>  [8983,]  6.142544e-01  6.526738e-01  0.6142543733  0.808710177
#>  [8984,]  3.932116e-01  4.700931e-01  0.4700931191  0.595825125
#>  [8985,]  3.358096e-03  4.766336e-01  0.5630424327  0.563042433
#>  [8986,]  7.484461e-02  2.432245e-01  0.5385179190  0.538517919
#>  [8987,]  2.503081e-01  7.273179e-01  0.7273178794  0.727317879
#>  [8988,]  7.407249e-01  7.407249e-01  0.7407248978  0.740724898
#>  [8989,]  2.509808e-01  4.612361e-01  0.4612361045  0.461236105
#>  [8990,]  4.130820e-01  4.130820e-01  0.4130819668  0.413081967
#>  [8991,] -1.423172e-01  2.085789e-01  0.2085789468  0.627298543
#>  [8992,]  1.456523e-02  1.456523e-02  0.6774255747  0.677425575
#>  [8993,]  9.176272e-01  9.176272e-01  0.9176271697  0.917627170
#>  [8994,]  3.358315e-01  3.358315e-01  0.3358314755  0.335831476
#>  [8995,]  4.547159e-01  4.547159e-01  0.4547159402  0.454715940
#>  [8996,]  3.617334e-01  3.617334e-01  0.4997422974  0.361733389
#>  [8997,]  1.659203e-01  5.831770e-01  0.1659203028  1.093377534
#>  [8998,]  5.365754e-02  5.365754e-02  0.8206588440  0.820658844
#>  [8999,]  2.280483e-01  3.146250e-02  0.8716127921  0.871612792
#>  [9000,]  9.567078e-02  6.420993e-01  0.6420992789  0.642099279
#>  [9001,]  2.829253e-01  2.829253e-01  0.2829252847  0.282925285
#>  [9002,]  1.648032e-01  6.635150e-01  0.1648032147  0.164803215
#>  [9003,]  3.286107e-01  4.196286e-01  0.3286107324  1.069102447
#>  [9004,]  6.938069e-02  5.892817e-01  0.4881916882  0.737078412
#>  [9005,] -9.649986e-02  7.139670e-01  0.3646479701  0.683212173
#>  [9006,]  5.333831e-01  5.689868e-01  0.5689868286  0.568986829
#>  [9007,]  1.884053e-01  4.266727e-01  0.6994552446  0.188405349
#>  [9008,]  5.381483e-02  4.087310e-01  0.6677232145  0.565904234
#>  [9009,]  1.938447e-01  4.256970e-01  0.1938446761  0.425696960
#>  [9010,]  6.055581e-01  3.940980e-01  0.6055580811  0.394097955
#>  [9011,]  3.835103e-01  3.835103e-01  0.3835102898  0.383510290
#>  [9012,] -1.635538e-01  6.224714e-01  0.6224714047  0.622471405
#>  [9013,]  1.044724e-01  7.279475e-01  0.7279475436  0.615535384
#>  [9014,]  3.551102e-02  6.052401e-01  0.2496533136  0.705601297
#>  [9015,]  4.726872e-01  4.977095e-01  0.4229667112  1.003852245
#>  [9016,]  5.125003e-01  4.053703e-01  0.5125003462  0.678561944
#>  [9017,]  3.215141e-01  5.928744e-01  0.5516689399  0.440661057
#>  [9018,]  2.291311e-01  6.119769e-01  0.2942900405  0.611976883
#>  [9019,]  5.487793e-02  6.291165e-01  0.2458196483  0.629116524
#>  [9020,]  4.539861e-01 -2.565395e-02  0.4539860961  0.552089094
#>  [9021,]  1.136387e-01  3.400198e-01  0.3400197569  0.608066153
#>  [9022,]  1.098480e-01  5.140641e-01  0.6969430115  0.620568656
#>  [9023,]  1.396531e-01  8.731794e-01  0.1396531500  0.873179418
#>  [9024,] -1.739710e-01  6.003064e-01  0.6003064027  0.600306403
#>  [9025,]  6.167160e-01  6.483812e-01  0.6483811746  0.648381175
#>  [9026,]  6.209859e-01  4.972890e-01  0.6209858892  0.620985889
#>  [9027,]  4.736892e-01  4.736892e-01  0.4736891532  0.473689153
#>  [9028,]  5.322544e-01  5.322544e-01  0.5322543854  0.532254385
#>  [9029,]  1.824153e-01  1.824153e-01  0.1824152652  0.302414456
#>  [9030,]  3.152563e-01  3.837394e-01  0.4794637574  0.685968171
#>  [9031,]  1.590324e-01  4.992967e-01  0.4992967202  0.499296720
#>  [9032,]  2.732673e-03  3.518820e-01  0.3518819996  0.519273342
#>  [9033,]  2.596304e-01  5.189656e-01  0.5786551573  0.518965647
#>  [9034,]  2.091963e-01  7.735489e-01  0.7735488905  0.699881240
#>  [9035,]  8.449299e-03  7.274996e-01  0.0712866519  0.727499558
#>  [9036,]  3.448814e-01  3.448814e-01  0.3448813744  1.550281309
#>  [9037,]  2.859184e-01  5.371733e-01  0.5371732501  0.537173250
#>  [9038,]  2.467036e-01  5.192746e-01  0.5192745760  0.990274419
#>  [9039,]  1.645067e-01  2.188745e-01  0.4810397556  0.481039756
#>  [9040,]  2.862735e-02  5.751636e-01  0.5751635670  0.575163567
#>  [9041,] -5.374509e-02  6.402184e-01  0.7668059603  0.766805960
#>  [9042,] -9.844617e-02  7.597570e-01  0.0595617884  0.759757009
#>  [9043,]  3.733828e-01  8.311408e-01  0.8311407916  0.831140792
#>  [9044,]  5.203604e-01  4.139196e-01  0.3204344297  0.725816361
#>  [9045,]  1.681572e-01  4.367120e-01  0.4187280488  0.785242675
#>  [9046,]  4.587655e-01  4.844027e-01  0.4844026765  0.484402676
#>  [9047,]  6.348579e-01  6.348579e-01  0.6348579488  0.634857949
#>  [9048,]  5.790227e-01  5.790227e-01  0.7279160465  0.579022735
#>  [9049,] -7.829002e-02  1.021151e+00  0.6487951865  1.021150933
#>  [9050,]  2.724920e-01  5.404228e-01  0.2724919700  0.638146250
#>  [9051,]  1.783941e-01  4.921980e-01  0.4921980374  0.624971928
#>  [9052,]  3.246002e-01  7.422617e-01  0.3246001548  0.742261668
#>  [9053,]  3.861887e-01  3.861887e-01  0.7472194418  0.386188720
#>  [9054,]  1.870510e-01  5.164910e-01  0.1870509895  0.516490960
#>  [9055,]  2.740301e-01  4.355949e-01  0.4355949047  0.435594905
#>  [9056,]  3.647922e-01  3.647922e-01  0.3647922236  0.364792224
#>  [9057,]  5.805102e-01  5.805102e-01  0.5805101717  0.424771620
#>  [9058,]  6.283006e-02  6.283006e-02  0.6216900968  0.621690097
#>  [9059,]  2.289927e-01  5.827796e-01  0.5827796222  0.582779622
#>  [9060,]  1.000124e-01  5.405007e-01  0.5405006718  0.540500672
#>  [9061,]  4.810361e-01  4.810361e-01  0.4810361209  1.197051622
#>  [9062,] -2.048758e-01  5.096922e-01  0.3426850954  1.182671981
#>  [9063,] -7.640695e-02  4.682059e-01  0.4682059288  0.468205929
#>  [9064,]  5.165826e-01  5.165826e-01  0.5165826424  0.516582642
#>  [9065,]  2.928830e-01  3.005025e-01  0.3005024847  1.046445097
#>  [9066,]  5.036173e-01  5.036173e-01  0.7386502213  0.738650221
#>  [9067,]  4.339701e-01  8.825554e-01  0.4339700555  0.882555424
#>  [9068,]  2.134524e-02  7.193895e-01  0.7193895063  0.719389506
#>  [9069,]  9.505858e-02  5.263844e-01  0.5263844044  0.586484447
#>  [9070,]  2.957499e-01  2.957499e-01  0.6217640352  0.621764035
#>  [9071,]  1.665691e-02  6.435603e-01  0.7451384426  0.745138443
#>  [9072,]  3.511123e-01  6.111695e-01  0.6111694783  0.611169478
#>  [9073,] -2.595474e-02  6.186212e-01  0.6186211868  0.418605528
#>  [9074,] -3.378363e-01  5.059548e-01  0.9572249750  0.957224975
#>  [9075,] -5.264367e-02  4.395322e-01 -0.0526436652  0.885788904
#>  [9076,]  5.405408e-01  7.222083e-01  0.7852034612  0.540540822
#>  [9077,]  4.427630e-01  6.997765e-01  0.6997764630  0.706836362
#>  [9078,]  6.378620e-01  6.378620e-01  0.6378619927  0.555736282
#>  [9079,]  3.856432e-01  3.856432e-01  0.7524047319  0.220504856
#>  [9080,]  5.954217e-01  7.548154e-01  0.6608268243  0.748823929
#>  [9081,]  3.356586e-01  5.745919e-01  0.5906945395  0.590694539
#>  [9082,]  1.262375e-01  3.038525e-01  0.3038525190  1.110162772
#>  [9083,] -1.084531e-01  1.874537e-01  0.4125213839  1.165128913
#>  [9084,]  7.483374e-02  6.942398e-01  0.6942398155  0.694239816
#>  [9085,] -8.523425e-02  7.897952e-01  0.7897952150  0.789795215
#>  [9086,] -1.023268e-01  7.094865e-01  0.4597607008  0.709486475
#>  [9087,]  5.557079e-01  5.557079e-01  0.5557078600  0.555707860
#>  [9088,]  4.896547e-01  2.195292e-01  0.0913699669  0.935510658
#>  [9089,]  3.932598e-01  3.932598e-01  0.3932597595  1.016433778
#>  [9090,]  2.525056e-01  2.525056e-01  0.9324698982  0.252505646
#>  [9091,]  2.102221e-01  4.862061e-01  1.0156153991  1.015615399
#>  [9092,]  3.805970e-01  3.805970e-01 -0.0133189792  0.721285931
#>  [9093,]  1.890090e-02  9.146277e-01  0.9146276956  0.914627696
#>  [9094,] -1.283637e-01  1.038210e+00  0.8686185771  1.038209607
#>  [9095,] -2.637002e-03  5.428954e-01  0.9812293943  0.542895429
#>  [9096,]  3.052482e-01  3.052482e-01  0.3052481922  0.305248192
#>  [9097,]  1.062000e-01  3.660382e-01  0.1062000105  0.366038205
#>  [9098,]  4.232255e-01 -2.490306e-01  0.4232254521  0.423225452
#>  [9099,]  2.558204e-01  5.299734e-01  0.5299733694  0.529973369
#>  [9100,]  5.695567e-01  5.695567e-01  0.5695567035  0.569556704
#>  [9101,]  6.358291e-01  6.358291e-01  0.6358290619  0.635829062
#>  [9102,] -3.390463e-01  4.203790e-01  0.4203789887  0.420378989
#>  [9103,]  5.255275e-01  5.255275e-01  0.5255274716  0.525527472
#>  [9104,]  2.642772e-01  2.642772e-01  0.2642772094  0.264277209
#>  [9105,] -3.419919e-02  6.770134e-01  0.6770133828  0.677013383
#>  [9106,]  3.579243e-01  3.579243e-01  0.4733957923  0.357924307
#>  [9107,]  4.501569e-01  4.501569e-01  0.4501568826  0.450156883
#>  [9108,]  5.328836e-01  5.328836e-01  0.5328836463  0.532883646
#>  [9109,] -3.861524e-01  1.006840e+00  1.0068396788  1.118661854
#>  [9110,]  6.070396e-01  6.070396e-01  0.6070396499  0.827251534
#>  [9111,]  6.521095e-01  2.081093e-01  0.6521095282  0.652109528
#>  [9112,]  2.530453e-01  6.406426e-01  0.6406426122  0.640642612
#>  [9113,]  3.172627e-01  5.852383e-01  0.5852383409  0.585238341
#>  [9114,]  2.492869e-01  6.888347e-01  0.6888346514  0.688834651
#>  [9115,]  1.718595e-01  7.446032e-01  0.7446031611  0.744603161
#>  [9116,]  2.076184e-01  2.076184e-01  0.2076183890  1.128177451
#>  [9117,]  2.313489e-01  4.953633e-01  0.6757683058  0.814210437
#>  [9118,]  5.087921e-02  4.907059e-01  0.6387597779  0.569808497
#>  [9119,]  2.282729e-01  5.165789e-01  0.5165789279  0.516578928
#>  [9120,]  1.620076e-01  5.367561e-01  0.5367560931  0.536756093
#>  [9121,]  5.007344e-01  5.007344e-01  0.5007344399  0.577448136
#>  [9122,]  3.229468e-01  4.736060e-01  0.7836450416  0.783645042
#>  [9123,]  6.063697e-01  6.063697e-01  0.6063696888  0.944244117
#>  [9124,]  6.558507e-01  6.558507e-01  0.5835918291  0.655850687
#>  [9125,]  5.399644e-01  5.399644e-01  0.5399643809  0.539964381
#>  [9126,]  3.934990e-01 -1.632125e-02  0.8968643099  0.896864310
#>  [9127,]  5.768475e-01  4.976171e-01  0.5768475456  0.576847546
#>  [9128,]  2.853463e-01  3.559199e-01  0.3559198784  0.355919878
#>  [9129,]  2.824026e-01  6.769340e-01  0.6769340412  0.676934041
#>  [9130,]  2.369651e-01  3.869957e-01  0.3869957247  0.386995725
#>  [9131,]  2.438351e-01  5.119324e-01  0.2438350734  0.511932415
#>  [9132,]  2.254716e-01  7.339709e-01  0.7339708563  1.085489216
#>  [9133,]  1.659148e-01  1.659148e-01  0.6935360215  0.895881285
#>  [9134,] -8.994065e-02  6.935914e-01  0.6935914282  0.693591428
#>  [9135,] -1.258724e-01  8.438376e-01  0.8438375670  0.843837567
#>  [9136,]  5.038773e-01  5.038773e-01  0.5038772662  0.503877266
#>  [9137,]  3.250098e-01  6.981864e-01  0.6981863735  0.698186373
#>  [9138,]  4.657743e-01  4.657743e-01  0.4657742510  0.465774251
#>  [9139,]  3.520985e-01  3.520985e-01  0.3520984674  0.352098467
#>  [9140,]  2.536979e-01  2.536979e-01  0.2536978565  0.779297037
#>  [9141,]  2.084871e-01  2.084871e-01  0.5980445087  0.870670562
#>  [9142,]  2.836924e-01  5.007258e-01  0.5007258149  0.961419751
#>  [9143,]  3.162876e-01  6.377181e-01  0.6377180970  0.637718097
#>  [9144,]  1.807538e-01  1.807538e-01  0.5022357201  0.502235720
#>  [9145,]  3.127680e-01  7.775380e-01  0.6665889217  0.443946069
#>  [9146,]  5.479802e-01  5.479802e-01  0.5479801574  0.547980157
#>  [9147,]  1.155857e-01  7.355385e-01  0.7355384904  0.735538490
#>  [9148,]  2.256933e-01  2.256933e-01  0.5557586953  0.555758695
#>  [9149,] -7.586008e-02  1.025875e+00  1.0258750901  1.025875090
#>  [9150,] -1.303798e-01  7.660625e-01  0.7660625097  0.766062510
#>  [9151,] -4.006651e-01  5.420379e-01  0.0581573036  0.542037897
#>  [9152,]  4.470105e-02  6.750307e-01  0.6750307109  0.675030711
#>  [9153,]  2.278022e-01  8.836015e-01  0.3746180672  0.374618067
#>  [9154,]  7.919808e-02  2.421190e-01  0.6322370486  0.692169308
#>  [9155,] -3.211203e-01  7.472757e-01  0.7472757453  0.747275745
#>  [9156,]  7.055295e-01  7.055295e-01  0.7055295169  0.705529517
#>  [9157,]  4.434891e-01  4.434891e-01  0.4434891260  0.443489126
#>  [9158,]  6.496233e-01  6.496233e-01  0.4177268814  0.649623305
#>  [9159,] -6.173733e-02  5.148803e-01  0.5148802873  0.514880287
#>  [9160,]  3.331146e-01  5.555550e-01  0.6962217275  0.696221727
#>  [9161,]  2.906740e-01  4.693706e-01  0.2906740250  0.838403595
#>  [9162,]  5.305567e-01  8.407766e-01  0.6989709717  0.698970972
#>  [9163,]  4.244877e-01  4.244877e-01  0.4244877298  0.741033374
#>  [9164,]  2.846739e-01  2.820395e-01  0.4254019471  0.718969801
#>  [9165,]  9.608544e-01  9.608544e-01  0.7439684227  0.960854418
#>  [9166,]  7.038115e-01  6.580921e-01  1.0593772107  0.658092095
#>  [9167,]  4.676019e-01  4.676019e-01  0.4676019250  0.467601925
#>  [9168,]  2.785384e-01  7.750282e-01  0.7750282468  0.775028247
#>  [9169,] -1.381951e-01  5.230696e-01  0.5230695751  0.494628913
#>  [9170,]  2.788804e-01  6.321194e-01  0.3036931468  0.278880432
#>  [9171,]  5.921323e-01  7.468888e-02  0.5910490210  0.074688876
#>  [9172,]  4.860241e-01  3.288554e-01  0.5477438857  0.547743886
#>  [9173,]  1.451900e-01  4.076928e-01  0.4076927724  0.145190030
#>  [9174,]  1.449518e-01  1.449518e-01  0.6118027747  0.779611786
#>  [9175,]  2.687552e-01  7.168894e-01  0.7168893794  0.716889379
#>  [9176,]  2.313443e-01  7.530818e-01  0.7530817824  0.753081782
#>  [9177,]  2.571497e-01  7.187338e-01  0.2571496686  0.718733783
#>  [9178,]  4.266522e-01  4.266522e-01  0.4266522420  0.680719710
#>  [9179,]  6.413019e-01  6.413019e-01  0.6667368108  0.623544030
#>  [9180,]  5.603729e-01  5.878277e-01  0.5878276567  0.717647631
#>  [9181,]  4.872247e-01  8.671035e-01  0.4872246786  0.487224679
#>  [9182,]  8.307108e-01  6.226217e-01  0.3342290245  0.213662548
#>  [9183,]  4.658404e-01  4.658404e-01  0.4658404373  0.465840437
#>  [9184,]  5.309880e-01  5.309880e-01  0.5309880083  0.530988008
#>  [9185,]  6.083493e-01  6.083493e-01  0.6083493261  0.608349326
#>  [9186,] -8.855728e-02  5.584964e-01  0.5584963567  0.558496357
#>  [9187,]  5.651607e-01  5.651607e-01  0.5651606841  1.131877038
#>  [9188,]  4.419680e-01  4.419680e-01  0.4419680416  0.441968042
#>  [9189,]  5.188865e-01  5.188865e-01  0.5188864870  0.518886487
#>  [9190,]  6.105675e-01  6.105675e-01  0.6105674814  0.868101124
#>  [9191,]  2.520540e-01  8.115529e-01  0.8115529202  0.905305519
#>  [9192,]  3.665385e-01  6.431774e-01  0.4022072964  0.638388210
#>  [9193,]  2.319873e-01  3.740403e-01  0.2319873328  0.613299840
#>  [9194,]  2.958813e-01  4.723280e-01  0.5846926425  0.859959005
#>  [9195,]  2.635281e-01  3.729556e-01  0.6116265447  0.263528061
#>  [9196,]  5.873998e-01  3.609507e-01  0.6398899309  0.587399806
#>  [9197,]  3.274096e-01  4.455570e-01  0.9639700113  1.205184463
#>  [9198,]  3.892207e-01  8.752344e-01  0.3892206998  0.875234393
#>  [9199,]  3.307433e-01  3.307433e-01  0.9198827853  0.919882785
#>  [9200,]  2.110807e-01  5.527165e-01  0.5358511841  0.877754075
#>  [9201,] -5.332622e-03  3.216571e-01  0.7467156860  0.778499362
#>  [9202,]  2.979973e-01  1.448767e-01  0.4492394722  0.823466957
#>  [9203,] -2.178579e-01  4.042410e-01  0.5012439495  1.282016563
#>  [9204,] -2.499862e-01  5.681778e-01  0.5346379775  0.568177842
#>  [9205,]  1.469183e-01  9.195575e-01  0.7107602735  0.710760274
#>  [9206,]  4.340946e-01  5.357172e-01  0.5357171924  0.535717192
#>  [9207,]  5.001604e-01  5.236598e-01  0.5236597533  0.802392620
#>  [9208,]  2.532946e-01  4.155250e-01  0.5371962738  0.487086753
#>  [9209,]  3.720996e-01  7.538361e-01  0.4014285942  0.372099637
#>  [9210,]  1.667156e-01  6.099326e-01  0.7127616515  0.743340354
#>  [9211,]  1.983570e-01  3.652172e-01  0.6752018853  0.968575882
#>  [9212,]  2.691491e-01  4.037252e-01  0.2786874168  0.712904010
#>  [9213,] -3.265210e-01  7.205978e-01  0.7205977887  1.063263591
#>  [9214,]  4.490775e-01  3.082294e-01  0.4490774828  0.523805181
#>  [9215,]  1.947248e-01  6.024661e-01  0.1947248208  0.574378398
#>  [9216,] -1.116291e-01  5.311898e-01  0.7656789564  0.765678956
#>  [9217,]  3.516633e-01  6.286440e-01  0.6286439794  0.628643979
#>  [9218,]  1.217306e-01  3.474680e-01  0.3474679648  1.535647249
#>  [9219,]  3.490282e-01  3.490282e-01  0.3490282189  0.925519127
#>  [9220,]  2.987770e-01  2.987770e-01  0.8201894297  0.851936836
#>  [9221,] -2.167580e-02  6.065925e-01 -0.0025848261  0.729949143
#>  [9222,] -1.231373e-01  5.197035e-01  0.5284334669  0.519703500
#>  [9223,]  4.280723e-01  4.280723e-01  0.4280723038  0.428072304
#>  [9224,]  4.879185e-01  4.879185e-01  0.4879185082  0.487918508
#>  [9225,]  3.835928e-01  3.835928e-01  0.3835928288  0.383592829
#>  [9226,]  4.018702e-01  4.018702e-01  0.4018702281  0.401870228
#>  [9227,]  2.025193e-01  2.025193e-01  0.3352109040  0.202519325
#>  [9228,]  4.066470e-01  6.323290e-01  0.4066470428  0.406647043
#>  [9229,]  3.819442e-01  3.819442e-01  0.3819442074  0.381944207
#>  [9230,]  4.001584e-01  4.001584e-01  0.4001584241  0.400158424
#>  [9231,]  4.704555e-01  7.314081e-01  0.4704555085  0.731408073
#>  [9232,]  5.354907e-01  5.354907e-01  0.5354906723  0.535490672
#>  [9233,]  4.306347e-01  2.801479e-01  0.5367864148  0.691712639
#>  [9234,]  2.756138e-01  8.931160e-01  0.8931160352  0.893116035
#>  [9235,]  2.469871e-01  7.491220e-01  0.7491220125  0.749122013
#>  [9236,]  3.440298e-01  3.440298e-01  0.3440297686  0.344029769
#>  [9237,]  7.499147e-01  7.499147e-01  0.7499146590  0.749914659
#>  [9238,]  5.392199e-01  5.392199e-01  0.5392199257  0.539219926
#>  [9239,]  4.687917e-01  4.687917e-01  0.4687917401  0.468791740
#>  [9240,] -7.486618e-01  7.081745e-01  0.8004823614  0.800482361
#>  [9241,] -3.005289e-01  6.734215e-01  0.3539668766  1.187812821
#>  [9242,]  2.742824e-01  2.742824e-01  0.4734840335  0.473484033
#>  [9243,]  1.777818e-01  1.777818e-01  0.1777818231  0.177781823
#>  [9244,]  6.372057e-01 -1.622196e-01  0.6372056867  0.637205687
#>  [9245,]  3.043478e-02  2.722736e-01  0.8325174063  0.832517406
#>  [9246,] -3.256675e-01  4.317151e-01  0.4317150821  0.913547126
#>  [9247,]  4.217710e-01  4.217710e-01  0.4217709648  0.754871575
#>  [9248,]  1.187147e-01  5.564594e-01  0.5564593569  0.802157432
#>  [9249,]  2.382867e-01  4.302335e-01  0.4302334938  0.430233494
#>  [9250,]  6.139255e-01  6.139255e-01  0.6139255443  0.613925544
#>  [9251,] -4.169542e-01  8.058159e-01  0.8058158575  0.805815858
#>  [9252,] -6.815370e-02  3.328727e-01  0.3736562033  0.797067296
#>  [9253,]  2.082760e-01  5.773106e-01  0.5773105797  0.632169743
#>  [9254,]  6.672489e-01  4.636970e-01  0.7228305647  0.722830565
#>  [9255,]  3.534069e-01  5.151124e-01  0.3534069287  1.025753500
#>  [9256,]  2.042126e-01  3.560797e-01  0.8954860712  0.990133875
#>  [9257,]  2.874807e-01  9.750409e-02  0.9785916673  0.978591667
#>  [9258,]  4.909483e-01  9.240557e-01  0.1508918504  0.490948255
#>  [9259,]  3.280053e-01  3.280053e-01  0.4843754964  0.606643229
#>  [9260,]  3.843942e-01  6.957405e-02  0.4175537396  0.384394174
#>  [9261,] -4.122183e-02  4.837504e-01  0.5978921790  0.495496416
#>  [9262,]  2.773048e-01  5.509728e-01  0.5509728016  0.550972802
#>  [9263,]  3.077022e-01  6.451528e-01  0.6451528123  0.645152812
#>  [9264,]  3.705814e-01  4.849944e-01  0.4849944240  0.484994424
#>  [9265,]  6.594651e-01  6.594651e-01  0.7756329864  0.659465108
#>  [9266,]  6.033722e-01  6.033722e-01  0.6033721661  0.603372166
#>  [9267,]  5.581347e-01  3.205259e-01  0.5581346673  0.643780880
#>  [9268,] -3.597647e-01  8.921636e-01  0.4869245078  0.484349664
#>  [9269,]  5.876470e-01  5.066801e-01  0.5622633633  0.587646974
#>  [9270,]  4.274944e-02  5.794411e-01  0.5794410979  0.579441098
#>  [9271,]  9.225147e-02  4.242772e-01  0.4677786238  0.092251465
#>  [9272,]  4.863910e-01  2.180347e-01  0.4863909653  0.486390965
#>  [9273,]  1.905358e-01  6.790770e-01  0.1905358232  0.585085824
#>  [9274,]  3.912982e-01  3.912982e-01  0.3912981814  0.734343999
#>  [9275,]  5.022505e-01  9.431546e-01  0.5022505382  0.943154598
#>  [9276,] -4.493940e-01  4.649018e-01  0.4649018135  0.834253775
#>  [9277,]  1.138849e-01  7.442311e-01  1.0200493972  0.675709393
#>  [9278,]  2.176000e-01  6.926383e-01  0.6926382751  0.844511270
#>  [9279,]  6.888848e-01  6.888848e-01  0.6888847773  0.688884777
#>  [9280,] -1.968974e-01  6.550184e-01  0.8731499988  0.655018417
#>  [9281,]  4.434336e-02  4.434336e-02  0.9386868573  0.938686857
#>  [9282,]  1.477355e-01  1.477355e-01  0.1156133213  0.677453270
#>  [9283,]  4.634728e-01  6.258382e-01  0.8943124148  0.293493352
#>  [9284,]  5.274544e-01  7.374071e-01  0.7185854438  0.527454418
#>  [9285,]  2.661140e-01  4.352512e-01  0.6342647657  0.435251205
#>  [9286,] -4.793787e-02  5.322370e-01  0.6064507044  0.810801706
#>  [9287,]  6.554404e-02  7.212289e-01  0.7797291601  0.829714359
#>  [9288,]  3.983069e-01  9.079527e-01  0.8412724402  0.841272440
#>  [9289,]  6.951575e-01  5.747320e-01  0.5747320290  0.794335040
#>  [9290,]  1.772663e-01  1.772663e-01  0.1772663112  0.350052147
#>  [9291,] -2.924053e-01  6.761372e-01  0.6761371709  0.885185666
#>  [9292,]  1.747594e-01  5.061537e-01  0.7323733419  0.506153730
#>  [9293,]  4.735702e-01  2.719563e-01  0.2719562588  0.668717512
#>  [9294,] -4.976394e-01  2.417003e-01  0.2129922918  0.981000980
#>  [9295,]  2.435705e-01  3.276814e-01  0.7578719411  0.757871941
#>  [9296,] -3.208428e-02  3.427078e-01  1.0337122355  0.860746944
#>  [9297,] -1.746904e-02  3.369686e-01  0.7336632723  0.733663272
#>  [9298,]  3.185286e-01  4.760126e-01  0.2632581951  0.672540242
#>  [9299,]  1.226568e-01  7.132720e-01  0.7132720094  0.682541982
#>  [9300,]  1.265808e-01  5.357482e-01  0.5357482078  0.578914549
#>  [9301,]  6.477775e-01  5.197477e-01  0.5197477348  0.952397227
#>  [9302,]  3.025617e-01  5.913060e-01  0.4506933016  0.450693302
#>  [9303,]  3.356685e-01  9.085160e-01  0.3356685144  0.908516001
#>  [9304,]  4.447469e-01  6.998462e-01  0.6658992399  0.444746902
#>  [9305,]  1.331972e-01  2.371812e-01  0.5217312682  0.658282892
#>  [9306,]  6.008613e-02  3.844039e-01  0.3545178693  0.747867628
#>  [9307,]  8.418348e-02  6.495143e-01  0.3611921420  0.649514348
#>  [9308,]  3.666177e-01  4.096650e-01  0.4096650333  0.635160492
#>  [9309,]  1.922760e-01  1.922760e-01  0.4955605243  0.478775676
#>  [9310,]  1.888241e-02  6.545456e-01  0.7262863598  0.612772712
#>  [9311,]  1.630056e-02  7.092954e-01 -0.0887381491  0.709295418
#>  [9312,]  2.432130e-01  1.230262e-01  0.2432129898  0.929930851
#>  [9313,]  1.526324e-01  4.499931e-01  0.1968305494  0.696368485
#>  [9314,]  1.593665e-01  1.994827e-01  0.1994827110  0.588621160
#>  [9315,]  6.721395e-01  6.113667e-01  0.6721395060  0.672139506
#>  [9316,]  7.486147e-01  7.486147e-01  0.7486147442  0.748614744
#>  [9317,]  3.614706e-01  5.114740e-01  0.5114739977  0.361470572
#>  [9318,]  1.582292e-01  1.582292e-01  0.4863499079  0.486349908
#>  [9319,]  5.851826e-01  5.851826e-01  0.5851825847  0.585182585
#>  [9320,] -6.955250e-02  5.084999e-01  0.5084999255  0.508499925
#>  [9321,]  5.642760e-01  5.642760e-01  0.5642759608  0.564275961
#>  [9322,]  5.926886e-01  5.926886e-01  0.5926886124  0.592688612
#>  [9323,]  4.002053e-01  4.002053e-01  0.4002052503  0.400205250
#>  [9324,]  4.436522e-01  4.436522e-01  0.4436521893  0.443652189
#>  [9325,]  4.457413e-01  4.457413e-01  0.4457412849  0.445741285
#>  [9326,]  5.162414e-01  5.162414e-01  0.5162413908  1.665644268
#>  [9327,]  6.686932e-01  5.804502e-01  0.3567564928  0.580450160
#>  [9328,]  4.263697e-01  4.634810e-01  0.4538544185  0.453854418
#>  [9329,]  9.679368e-02  5.151943e-01  0.0967936812  0.799114203
#>  [9330,]  2.495482e-01  2.495482e-01  0.2495482049  0.729227040
#>  [9331,]  3.198753e-01  1.758023e-01  0.5398559906  0.539855991
#>  [9332,]  1.919291e-01  1.545369e-01  0.5956922623  0.551013846
#>  [9333,] -1.510629e-01  2.625002e-01  0.5633543006  0.563354301
#>  [9334,] -3.197081e-02  7.260168e-01  0.4235403735  0.604088318
#>  [9335,]  3.654214e-01  3.654214e-01  0.5995899055  0.598641779
#>  [9336,]  4.148249e-01  4.148249e-01  0.6757792306  0.339574605
#>  [9337,]  4.523045e-01  6.326467e-01  0.4523044775  0.452304477
#>  [9338,]  4.251065e-01  4.251065e-01  0.6355310945  0.796307162
#>  [9339,] -1.273673e-01  5.808524e-01  0.8769113345  0.222948846
#>  [9340,]  2.751322e-01  5.955657e-01  0.5955656937  0.824832277
#>  [9341,]  3.063905e-01  6.744740e-01  0.3063905095  0.889226875
#>  [9342,] -7.753327e-02  6.396203e-01  0.6396202573  0.639620257
#>  [9343,]  2.134048e-01  8.110046e-01  0.2384500873  0.581860387
#>  [9344,]  1.717810e-01  4.131473e-01  0.3907821567  0.413147286
#>  [9345,]  4.857942e-01  4.857942e-01  0.5849738563  1.038938750
#>  [9346,]  1.265186e-01  2.699589e-01  0.8684742198  0.824287822
#>  [9347,]  3.575366e-01  6.578099e-01  0.6839287215  0.804829145
#>  [9348,] -6.902284e-02  7.297403e-01  0.8046519283  0.729740266
#>  [9349,]  5.822665e-02  5.139973e-01  0.6395281294  1.063637785
#>  [9350,] -1.203240e-01  4.580980e-01  0.6551854104  0.533864124
#>  [9351,]  5.181160e-03 -2.017003e-01  0.2076077720  0.759376462
#>  [9352,]  4.259684e-01  5.410878e-01  0.4259683830  1.023485062
#>  [9353,] -7.585339e-02  5.399124e-01  0.5399123707  0.734773641
#>  [9354,]  7.137266e-02  2.211195e-01  0.5969490562  0.769552689
#>  [9355,]  5.471498e-02  4.134484e-01  0.5667328454  0.775006247
#>  [9356,]  9.002326e-02  5.479083e-01  0.5037445912  0.834292418
#>  [9357,]  7.716060e-02  5.161887e-01  0.5161886878  0.571157161
#>  [9358,] -9.157173e-02  3.684472e-01  0.3684472443  0.639451450
#>  [9359,]  2.269782e-01  2.498388e-01  0.5428053259  0.641090395
#>  [9360,] -1.492300e-01  4.611549e-01  0.1936766077  0.653645462
#>  [9361,]  4.788951e-01  2.767427e-01  0.3722307115  0.478895125
#>  [9362,] -4.781925e-02  9.899850e-01  0.6316246856  0.631624686
#>  [9363,] -3.061464e-01  6.539499e-01  0.6539498637  0.693270719
#>  [9364,]  1.021265e-01  8.548216e-01  0.4920628076  0.941647951
#>  [9365,]  1.101112e-01  4.804204e-01  0.4804204271  0.747256597
#>  [9366,]  3.386305e-01  3.386305e-01  0.6366257366  0.338630465
#>  [9367,]  1.761936e-01  5.740898e-01  0.1761935957  0.574089835
#>  [9368,]  5.412579e-01  5.412579e-01  0.5412578944  0.541257894
#>  [9369,]  3.933906e-01  5.790694e-01  0.3933905814  0.393390581
#>  [9370,]  2.455459e-01  5.755795e-01  0.5755795076  0.575579508
#>  [9371,]  8.621181e-02  5.719198e-01  0.5719197862  0.571919786
#>  [9372,] -2.921751e-01  4.679434e-01  0.4679433835  0.467943384
#>  [9373,]  5.853625e-01  5.853625e-01  0.5853625118  0.585362512
#>  [9374,]  1.416749e-01  1.416749e-01  0.1416748561  0.141674856
#>  [9375,]  5.249608e-01  4.455410e-01  0.4455409710  0.524960843
#>  [9376,]  6.081714e-01  6.081714e-01  0.6081713736  0.608171374
#>  [9377,]  6.009951e-01  5.745119e-01  0.6009951124  0.600995112
#>  [9378,]  3.978669e-01  3.599856e-01  0.3599855564  0.397866918
#>  [9379,]  5.013512e-01  5.133193e-01  0.5013512070  0.501351207
#>  [9380,]  5.918239e-01  5.918239e-01  0.5918239499  0.591823950
#>  [9381,]  3.854422e-01  3.854422e-01  0.3860205441  0.694544203
#>  [9382,]  1.388821e-01  5.403135e-01  0.5403134919  0.582619349
#>  [9383,]  4.342596e-01  4.342596e-01  0.2340077336  0.626371526
#>  [9384,]  2.792710e-01  7.053076e-01  0.2792709963  0.705307603
#>  [9385,]  3.812274e-01  3.812274e-01  0.3812273587  0.793716764
#>  [9386,]  4.640282e-01  4.640282e-01  0.4640281952  0.464028195
#>  [9387,]  4.285223e-01  4.285223e-01  0.3187781296  0.428522291
#>  [9388,]  4.503552e-01  2.936079e-01 -0.3471308517  0.450355168
#>  [9389,] -3.054839e-01  4.769440e-01  0.4769439713  0.654115498
#>  [9390,] -7.851950e-02  2.093513e-01  0.0540722830  0.916311590
#>  [9391,]  1.274213e-01  1.274213e-01  0.7433605084  0.743360508
#>  [9392,] -1.999039e-01  5.814441e-01  0.5814441012  0.405101636
#>  [9393,]  4.162140e-01  4.162140e-01  0.4356314467  0.416214034
#>  [9394,]  6.533977e-01  2.098139e-01  0.6430996974  0.605736206
#>  [9395,]  1.755080e-01  2.754470e-01  0.6222842784  0.441924821
#>  [9396,]  5.143061e-01  4.004163e-01  0.5143060775  0.696363353
#>  [9397,]  4.976582e-01  4.976582e-01  0.5993714881  0.599371488
#>  [9398,] -2.611713e-01  4.876693e-01  0.3521210255  0.327223941
#>  [9399,]  4.624394e-01  6.969089e-01  0.6051574026  0.371044505
#>  [9400,]  5.760758e-01  3.851671e-01  0.5806019259  0.576075821
#>  [9401,]  2.528026e-01  7.059727e-01  0.3777007321  0.252802612
#>  [9402,]  3.312966e-01  8.641613e-01  0.4351120217  0.331296590
#>  [9403,]  1.548902e-01  5.910896e-01  0.5910896304  0.591089630
#>  [9404,]  1.068477e-01  6.038380e-01  0.1068476665  0.603837953
#>  [9405,]  6.018336e-01  6.018336e-01  0.6018336383  0.601833638
#>  [9406,]  5.407620e-01  5.407620e-01  0.5407620425  0.540762043
#>  [9407,] -2.967455e-01  6.710654e-01  0.6710653606  0.671065361
#>  [9408,]  1.087767e-01  4.429053e-01  0.4429052932  0.100286678
#>  [9409,]  7.237923e-01  7.237923e-01  0.8300444372  0.830044437
#>  [9410,]  4.898510e-02  4.002755e-01  0.4002755272  0.400275527
#>  [9411,]  7.095627e-01  1.648802e-01  0.7095627271  0.709562727
#>  [9412,] -1.873794e-01  5.725095e-01  0.5725095323  0.572509532
#>  [9413,] -4.565374e-02  6.331996e-01  0.6331995898  0.633199590
#>  [9414,]  3.512875e-01  5.736855e-01  0.3512875062  0.573685466
#>  [9415,]  4.328062e-01  4.328062e-01  0.4328062499  0.572442869
#>  [9416,]  3.734384e-01  5.089764e-01  0.3734383560  0.552905343
#>  [9417,]  8.245049e-01  7.924109e-01  0.6962771552  0.696277155
#>  [9418,] -3.963100e-01  9.038857e-01  0.3208080909  0.953236734
#>  [9419,]  4.852580e-01  4.058574e-01  0.7728406419  0.485257958
#>  [9420,] -1.329831e-01  5.897807e-01  0.4970575431  0.708202847
#>  [9421,]  4.698479e-01  6.429776e-01  0.4698479199  0.548747652
#>  [9422,] -2.480788e-01  8.493361e-01  0.3315435902  0.331543590
#>  [9423,]  6.680968e-02  3.447726e-01  0.4110109182  0.662307755
#>  [9424,]  4.006227e-01  5.117964e-01  0.4006226675  0.890046720
#>  [9425,]  8.098634e-02  4.491020e-01  0.5134291283  0.594824647
#>  [9426,]  1.116689e-01  6.318504e-01  0.7886529901  0.933375412
#>  [9427,]  1.801942e-01  1.801942e-01  0.8012106970  0.780050544
#>  [9428,]  3.117318e-01  6.822721e-01  0.6822721234  0.682272123
#>  [9429,]  2.510840e-01  2.510840e-01  0.5996554985  0.724054942
#>  [9430,]  4.293303e-01  5.016672e-02  0.3580158182  0.911384367
#>  [9431,] -1.463349e-01  2.068787e-01  0.5524325880  0.552432588
#>  [9432,] -3.943984e-02  2.644980e-01  0.2644980262  0.588913387
#>  [9433,]  2.776070e-04  6.109826e-01  0.6502482398  0.610982623
#>  [9434,] -1.235168e-01  5.344660e-01  0.5645923650  0.564592365
#>  [9435,] -4.053949e-01  5.695135e-01  0.5695134703  0.569513470
#>  [9436,]  2.802624e-01  2.802624e-01  0.2802624202  0.381636980
#>  [9437,]  5.949775e-01  5.949775e-01  0.5949774963  0.691308702
#>  [9438,] -1.827204e-01  6.691985e-01  0.6691985489  0.669198549
#>  [9439,] -1.608263e-01  5.801701e-01  0.6376052112  0.580170115
#>  [9440,]  7.828170e-01  3.515825e-01  0.7828169820  0.782816982
#>  [9441,]  3.409566e-01  3.954396e-01  0.4055542437  0.405554244
#>  [9442,]  3.385295e-01  6.238570e-01  0.6238569570  0.623856957
#>  [9443,]  3.826832e-01  6.675155e-01  0.9031800541  0.536345374
#>  [9444,]  2.624576e-01  7.170126e-01  0.2624576120  0.808683705
#>  [9445,]  5.915557e-01  5.598967e-01  0.5915556511  0.591555651
#>  [9446,] -7.044850e-02  5.537478e-01  0.5537477572  0.553747757
#>  [9447,]  4.677626e-01  4.677626e-01  0.4677625915  0.467762591
#>  [9448,]  5.063295e-01  5.063295e-01  0.5063294924  0.506329492
#>  [9449,]  1.806357e-01  7.600467e-01  0.7600466517  0.760046652
#>  [9450,]  2.282576e-02  7.531705e-01  0.4637510081  0.463751008
#>  [9451,]  2.121928e-01  6.239452e-01  0.6239452145  0.623945215
#>  [9452,]  5.369478e-01  5.369478e-01  0.5369478228  0.536947823
#>  [9453,]  1.227176e-01  5.324516e-01  0.8381245316  0.532451632
#>  [9454,]  3.649518e-01  3.649518e-01  0.3778782525  0.364951764
#>  [9455,] -7.320009e-02  7.340631e-01 -0.5402379930  0.734063073
#>  [9456,] -1.269004e-01  6.411756e-01  0.6411755673  0.644508357
#>  [9457,] -3.134039e-01  5.361816e-01  0.5361816005  0.953202474
#>  [9458,] -3.498697e-01  3.474861e-01  0.3474861127  1.059613889
#>  [9459,]  1.018882e-01  7.309731e-01  0.4416319443  0.094171487
#>  [9460,]  1.266755e-01  6.737359e-01  0.6737359080  0.673735908
#>  [9461,]  6.286171e-02 -9.639233e-02  0.6822137487  0.590844569
#>  [9462,] -2.924164e-01 -7.688703e-02  1.0748344657  0.789740593
#>  [9463,] -1.339148e-02  2.249021e-01  0.2249021466  0.366825296
#>  [9464,]  5.004751e-01  5.004751e-01  0.5004751318  0.585594723
#>  [9465,]  1.580952e-01  5.810903e-01  0.4846163348  0.581090322
#>  [9466,]  3.462624e-01  4.535448e-01  0.3462624141  0.847693056
#>  [9467,] -1.109327e-01  5.319093e-01  0.5423168938  0.531909327
#>  [9468,]  2.688037e-01  2.688037e-01  0.2688037345  0.268803734
#>  [9469,]  3.978047e-01  3.978047e-01  0.3978047396  0.397804740
#>  [9470,]  5.468642e-01  5.468642e-01  0.5468641563  0.546864156
#>  [9471,]  6.909120e-02  4.072991e-01  0.4072990760  0.407299076
#>  [9472,]  1.549625e-01  5.641572e-01  0.5641572416  0.986477253
#>  [9473,]  2.623624e-01  5.482103e-01  0.2623623850  0.262362385
#>  [9474,]  5.119455e-01  5.119455e-01  0.5119455287  0.511945529
#>  [9475,]  1.178627e-01  4.511198e-01  0.4511197993  1.014285444
#>  [9476,]  3.122806e-02  1.842866e-01  0.1842865657  1.113919404
#>  [9477,]  5.600905e-01  5.600905e-01  0.5600905259  1.057171993
#>  [9478,]  7.363389e-01  1.043579e+00  0.7363388672  0.736338867
#>  [9479,]  1.241145e-01  7.492436e-01  0.7492435917  0.749243592
#>  [9480,]  3.028286e-01  3.028286e-01  0.3028285981  0.302828598
#>  [9481,] -7.069367e-02  6.488514e-01  0.6488514159  0.484885628
#>  [9482,] -1.618576e-01  8.013576e-01  0.8013576427  0.801357643
#>  [9483,]  2.212340e-01  8.176245e-01  0.8176245330  0.817624533
#>  [9484,]  5.209442e-01  6.971071e-01  0.5209441760  0.520944176
#>  [9485,]  1.561129e-01  5.103617e-01  0.1561128725  0.847641067
#>  [9486,] -1.358828e-01  3.634842e-01  0.0847433294  1.055754968
#>  [9487,] -1.214481e-01  4.926790e-01  0.2461630146  0.963073613
#>  [9488,]  7.323723e-02  5.081070e-01  0.1223152727  1.139198221
#>  [9489,]  3.928276e-01  9.035002e-01  0.7585399459  1.215470743
#>  [9490,]  1.149829e-01  3.426038e-01  1.2981947762  1.326220516
#>  [9491,]  3.600271e-01  3.055811e-01  0.7312674360  1.095280094
#>  [9492,]  3.430171e-01  3.371542e-01  0.3430170751  0.337154162
#>  [9493,]  4.391086e-01  2.058013e-01  0.3164131795  0.439108611
#>  [9494,]  5.767011e-01  5.767011e-01  0.2393027646  0.576701111
#>  [9495,]  4.178944e-02  6.816448e-02  0.3162817341  0.607633422
#>  [9496,] -5.666905e-02  4.937312e-01  0.4937312346  0.717675251
#>  [9497,]  5.209168e-01  6.235109e-01  0.6235109272  0.852935574
#>  [9498,]  7.437832e-02  1.709944e-01  0.4213852106  0.488841456
#>  [9499,]  2.731544e-01  2.731544e-01 -0.0542335305  0.766743032
#>  [9500,]  3.405537e-01  3.405537e-01  0.3405536755  0.947155072
#>  [9501,]  1.130264e-01  4.387511e-01  0.5761957751  0.828527385
#>  [9502,] -1.702330e-01  3.940576e-01  0.4809909558  0.944522701
#>  [9503,] -2.084880e-01  5.373425e-01  0.0824209576  0.876046880
#>  [9504,]  5.056476e-01  4.027634e-01  0.7078287506  0.707828751
#>  [9505,] -1.285972e-02  2.954499e-01  0.5520750983  0.714717110
#>  [9506,]  2.504586e-01  3.849248e-01  0.4132039184  0.613891732
#>  [9507,]  1.250903e-01  5.744295e-01 -0.1122620260  0.449903433
#>  [9508,]  1.995199e-01  1.100476e-01  0.2611314532  0.915319957
#>  [9509,]  1.597042e-01  8.420982e-01  0.5482467805  0.875249524
#>  [9510,] -1.048032e-01  6.070812e-01  0.8063640262  0.939796159
#>  [9511,] -1.596324e-01  4.386084e-01  0.2550273626  0.438608423
#>  [9512,]  6.099895e-02  5.076468e-01  0.6289076530  0.507646772
#>  [9513,]  4.937217e-01  4.937217e-01  0.4937217420  0.411751280
#>  [9514,]  2.113682e-01  6.452971e-01  0.3233436777  0.323343678
#>  [9515,]  2.927589e-01  2.927589e-01  0.8185786418  0.818578642
#>  [9516,]  3.740172e-01  2.928202e-01  0.3740172183  1.103894749
#>  [9517,]  3.240910e-01  6.937423e-01  0.6989084226  0.712048797
#>  [9518,]  1.677297e-01  5.713989e-01  0.8319516213  0.455902191
#>  [9519,]  9.988446e-02  1.293827e-01  0.0998844559  0.662738122
#>  [9520,]  7.319855e-02  1.383056e-01  0.8265780079  0.826578008
#>  [9521,]  2.111275e-01  3.508213e-01  0.5140715442  0.555444864
#>  [9522,]  1.706070e-01  1.706070e-01  0.6727513973  0.583373996
#>  [9523,] -2.367600e-03  5.871805e-01  0.5871805306  0.952436751
#>  [9524,]  3.207706e-01  7.419296e-01  0.9328997882  0.932899788
#>  [9525,] -5.889873e-02  4.852000e-01  1.0327226846  1.032722685
#>  [9526,] -6.979246e-03  4.647864e-01  0.5260719134  1.125761076
#>  [9527,]  2.244776e-01  1.667547e-01  0.6320360153  0.985019188
#>  [9528,]  4.130855e-01  4.143434e-01  0.4143433770  0.414343377
#>  [9529,]  4.056389e-02  5.886134e-01  0.5886134050  0.328081144
#>  [9530,]  5.940892e-02  1.296487e-01  0.4240375030  0.636846445
#>  [9531,]  1.833643e-01  4.690860e-01  0.3544399983  0.731465407
#>  [9532,]  2.011629e-01  6.115018e-01  0.6115018277  0.611501828
#>  [9533,]  4.645418e-01  4.645418e-01  0.4645417852  0.464541785
#>  [9534,]  4.421141e-01  4.421141e-01  0.4421141103  0.442114110
#>  [9535,]  5.409430e-01  2.304637e-01  0.5409429590  0.540942959
#>  [9536,]  4.569409e-01  2.257753e-02  0.4569409139  0.456940914
#>  [9537,]  2.508372e-01  2.057216e-01  0.2635761448  0.524532274
#>  [9538,]  2.594387e-01  3.996021e-01  0.2594387249  0.503780434
#>  [9539,]  3.416879e-01  3.416879e-01  0.3416879134  0.539514259
#>  [9540,] -1.136601e-01  2.757563e-01  0.8379773044  0.837977304
#>  [9541,]  4.393344e-01  4.638322e-01  0.4638321829  0.463832183
#>  [9542,]  7.547527e-01  7.547527e-01  0.7547526721  0.754752672
#>  [9543,]  4.939027e-01  4.939027e-01  0.4939027427  0.493902743
#>  [9544,]  5.150583e-01  5.150583e-01  0.5150583323  0.515058332
#>  [9545,]  4.074635e-01  4.074635e-01  0.4074635067  0.407463507
#>  [9546,]  1.111845e-01  3.000718e-01  0.3000717695  0.752705436
#>  [9547,]  3.720608e-01  3.720608e-01  0.4519867357  0.774047938
#>  [9548,]  2.482413e-01  7.845472e-01  0.2482413183  0.742956410
#>  [9549,]  2.069482e-01  4.573758e-01  0.7154776144  0.715477614
#>  [9550,] -2.530537e-02  6.682967e-01  0.6682966641  1.076427520
#>  [9551,]  5.838281e-01  5.838281e-01  0.5291282968  0.897452208
#>  [9552,]  1.485949e-01  2.940404e-01  0.5940033464  0.594003346
#>  [9553,]  4.998315e-01  4.998315e-01  0.4998314973  0.499831497
#>  [9554,]  4.183499e-01  4.183499e-01  0.4183498729  0.418349873
#>  [9555,]  5.959471e-01  5.959471e-01  0.5959470568  0.595947057
#>  [9556,]  6.307017e-01  6.307017e-01  0.6307016565  0.630701656
#>  [9557,]  3.570098e-01  6.909719e-01  0.6909718652  0.357009807
#>  [9558,] -2.543009e-02 -2.543009e-02  0.6348042696  0.634804270
#>  [9559,] -4.525935e-03  9.629009e-01  0.9629009230  0.962900923
#>  [9560,] -1.133686e-03  6.232968e-01  0.4003481905  0.623296850
#>  [9561,]  3.976500e-01  7.502245e-01  0.7502245382  0.397650036
#>  [9562,]  3.735460e-01  3.735460e-01  0.5780331470  0.373545969
#>  [9563,]  3.300788e-01  3.300788e-01  0.3300787892  0.330078789
#>  [9564,]  6.279350e-01  2.286857e-01  0.6279350385  0.633154637
#>  [9565,] -8.601974e-02  5.653862e-01  0.5653862236  0.379718031
#>  [9566,]  3.419169e-02  6.101838e-01  0.6101838078  0.610183808
#>  [9567,] -4.291334e-02  3.401191e-01  0.4156473513  0.807883705
#>  [9568,]  1.569745e-01  2.947139e-01  0.1569745342  0.636203562
#>  [9569,]  3.476128e-01  3.974272e-01  0.3476127592  0.878812388
#>  [9570,] -1.764560e-01  4.655727e-01  0.4276338450  0.649516711
#>  [9571,]  7.062556e-01  7.062556e-01 -0.0839226638  0.706255632
#>  [9572,] -3.779231e-01  1.994295e-01  0.4559846594  0.455984659
#>  [9573,]  5.129554e-01  5.129554e-01  0.5129553604  0.512955360
#>  [9574,]  5.062885e-01  5.062885e-01  0.5062884863  0.506288486
#>  [9575,]  5.109577e-01  5.109577e-01  0.5109576941  0.510957694
#>  [9576,]  4.427096e-01  4.427096e-01  0.4427096177  0.926321467
#>  [9577,]  3.700081e-01  3.700081e-01  0.7361294740  0.370008098
#>  [9578,]  1.272153e-01  1.272153e-01  0.9255688235  0.925568823
#>  [9579,]  4.914424e-01  4.570921e-01  0.4914423942  0.491442394
#>  [9580,]  3.980751e-01  4.786900e-01  0.4786900065  0.398075126
#>  [9581,]  5.804592e-01  4.637756e-01  0.5804592020  0.580459202
#>  [9582,]  5.292649e-01  5.292649e-01  0.5292649433  0.529264943
#>  [9583,]  1.381859e-02  1.381859e-02  0.7818111462  0.781811146
#>  [9584,]  3.189838e-01  1.217808e-01  0.3189837593  0.318983759
#>  [9585,]  5.821065e-01  5.821065e-01  0.5821064771  0.582106477
#>  [9586,]  5.175217e-01  8.020843e-01  0.5175217015  0.517521701
#>  [9587,]  3.272470e-01  3.272470e-01  0.3272469853  0.327246985
#>  [9588,]  6.556139e-01  6.556139e-01  0.6556138525  0.655613853
#>  [9589,]  5.966815e-01  5.966815e-01  0.5966815300  0.596681530
#>  [9590,]  3.740639e-01  9.083196e-01  0.9083195585  0.908319558
#>  [9591,]  7.080997e-01  3.723369e-01  0.7080996812  0.809953774
#>  [9592,]  4.128657e-01  4.128657e-01  0.9100128326  0.649861540
#>  [9593,]  2.380300e-01  5.939202e-01  0.5939202270  0.633161778
#>  [9594,]  4.313459e-01  4.313459e-01  0.7892784997  0.431345936
#>  [9595,] -3.301083e-01  6.531776e-01  0.6531776139  0.653177614
#>  [9596,] -3.120349e-02  6.326775e-01  0.4566989616  0.707669823
#>  [9597,]  8.703856e-02  4.965536e-01  0.5740688693  0.496553650
#>  [9598,]  5.373561e-01  5.373561e-01  0.5373560509  0.537356051
#>  [9599,]  6.055537e-01  6.055537e-01  0.6055536871  0.605553687
#>  [9600,]  6.991335e-01  5.640390e-01  0.5640389755  0.564038976
#>  [9601,]  4.473387e-01  4.473387e-01  0.4473386546  0.447338655
#>  [9602,]  3.060106e-01  6.028654e-01  0.6028654468  0.306010621
#>  [9603,]  3.724013e-01  4.499432e-01  0.3724013279  0.372401328
#>  [9604,]  1.983409e-01  2.341222e-01  0.2341221957  0.234122196
#>  [9605,]  4.230494e-01  3.846511e-01  0.4230493530  0.721082138
#>  [9606,]  1.100114e-01  5.927443e-01  0.5927442510  0.592744251
#>  [9607,]  1.429898e-01  5.272481e-01  0.5272481204  0.527248120
#>  [9608,] -6.401070e-02  3.237047e-01  0.3237046712  0.323704671
#>  [9609,]  1.655232e-01  1.655232e-01  0.6699301713  0.669930171
#>  [9610,]  2.957675e-01  1.297920e-01  0.2957674912  0.592761645
#>  [9611,]  2.456023e-01  2.456023e-01  0.2456022980  0.245602298
#>  [9612,]  4.854421e-01  4.854421e-01  0.4854421051  0.485442105
#>  [9613,] -1.260370e-01  7.452554e-01  0.7452553960  0.745255396
#>  [9614,]  2.926119e-01  7.175188e-01  0.7175188126  0.717518813
#>  [9615,]  6.258385e-01  2.682257e-01  0.6742630716  0.674263072
#>  [9616,]  2.289828e-01  2.124155e-01  0.2124155489  0.212415549
#>  [9617,]  4.025626e-01  7.493403e-01  0.7493402736  0.402562570
#>  [9618,]  6.703154e-01  5.761672e-01  0.5989269150  0.598926915
#>  [9619,]  4.928505e-01  4.928505e-01  0.4928504805  0.492850480
#>  [9620,]  6.299510e-01  6.299510e-01  0.6299509778  0.995581771
#>  [9621,]  5.722427e-01  5.722427e-01  0.5597888177  1.004355688
#>  [9622,]  7.733770e-01  3.441953e-01  0.7733769786  0.773376979
#>  [9623,] -2.041393e-01  4.405824e-01 -0.0383988604  0.440582356
#>  [9624,]  4.413261e-01  7.001878e-01  0.7001878156  0.503523669
#>  [9625,]  2.336805e-01  5.219207e-01  0.5219207322  0.952498902
#>  [9626,]  5.180554e-01  5.180554e-01  0.5629262402  0.940912042
#>  [9627,]  5.838549e-01  5.838549e-01  0.5838549195  0.583854920
#>  [9628,] -1.261210e-01  5.178626e-01  0.5178625580  0.517862558
#>  [9629,]  4.269350e-01  4.269350e-01  0.4269349527  0.426934953
#>  [9630,]  1.967373e-01  4.724398e-01  0.4724398209  0.472439821
#>  [9631,]  5.658710e-01  5.658710e-01  0.5658710402  0.565871040
#>  [9632,]  5.562726e-01  5.562726e-01  0.5562726072  0.556272607
#>  [9633,]  1.860359e-01  3.503060e-01  0.3503059545  0.350305955
#>  [9634,]  4.665581e-01  4.665581e-01  0.5526195057  0.466558124
#>  [9635,]  1.800365e-01  9.693378e-01  0.3656218166  0.565473255
#>  [9636,]  5.477532e-01  1.195016e-01  0.7097643027  0.547753201
#>  [9637,]  8.605427e-02  6.307895e-01  0.6307894945  0.630789494
#>  [9638,]  3.914129e-01  2.100922e-01  0.1877067576  0.210092242
#>  [9639,]  4.556074e-03  4.194683e-01  0.4194683144  0.419468314
#>  [9640,]  8.158302e-02  8.730754e-01  0.4626639900  0.873075436
#>  [9641,]  3.178341e-01  3.178341e-01  0.7688233510  0.317834110
#>  [9642,]  4.297086e-01  4.297086e-01  0.5121926872  0.429708602
#>  [9643,]  9.671644e-02  5.267297e-01  0.5368158758  0.526729745
#>  [9644,]  2.319005e-01  2.598399e-01  0.2319005454  0.231900545
#>  [9645,]  6.852947e-01  3.269607e-01  0.6010059534  0.685294699
#>  [9646,] -9.148668e-02  7.699990e-01  0.3901703832  0.515792594
#>  [9647,] -2.726282e-01  6.307842e-01  0.6547705084  0.630784221
#>  [9648,] -1.608566e-01 -6.226873e-02  0.5374168211  0.832891517
#>  [9649,]  1.054118e-02  8.806410e-01  0.3324912270  0.880640975
#>  [9650,]  5.280066e-01  4.923729e-01  0.1889828093  0.651350873
#>  [9651,] -5.329402e-02  6.773638e-01  0.6773637906  0.677363791
#>  [9652,]  1.451191e-01  7.271836e-01  0.7271835508  0.727183551
#>  [9653,]  1.197781e-01  5.519254e-01  0.5519254139  0.551925414
#>  [9654,]  4.893603e-01  4.893603e-01  0.4893602722  0.489360272
#>  [9655,]  3.383778e-01  3.383778e-01  0.3383778281  0.642148884
#>  [9656,]  1.008230e-01  1.012462e+00  0.5643850763  1.012461728
#>  [9657,]  2.134413e-01  6.319598e-01  0.6319598019  0.973211263
#>  [9658,] -1.383123e-02  2.103212e-01  0.4182367365 -0.013831226
#>  [9659,]  9.160317e-02  5.938254e-01  0.5938254212  0.593825421
#>  [9660,] -3.572216e-02  4.556200e-01  0.4556200395  0.607759510
#>  [9661,] -1.181823e-01  5.987877e-01  0.5521783687  0.552178369
#>  [9662,]  5.293052e-01  1.071449e+00  0.7362024545  0.529305236
#>  [9663,]  4.397471e-01  8.020020e-02  0.6071724502  0.257852786
#>  [9664,]  4.584711e-01  5.184114e-01  0.6625392736  0.922575540
#>  [9665,]  3.267651e-01  8.506577e-01  0.7143075497  0.512314555
#>  [9666,]  4.481253e-01  6.071423e-01  0.8920290160  0.825980802
#>  [9667,] -2.075387e-02  6.999507e-01  0.5175912417  0.680695492
#>  [9668,] -1.465636e-01  6.218911e-01  0.5627208134  0.621891142
#>  [9669,]  2.522952e-01  7.095874e-01  0.7095874024  0.709587402
#>  [9670,]  5.076020e-01  5.076020e-01  0.5076020213  0.507602021
#>  [9671,]  9.132904e-03  4.300208e-01  0.7424016557  0.430020842
#>  [9672,] -1.431907e-02  5.053578e-01  0.4918195582  0.898566072
#>  [9673,] -2.606430e-01  7.970135e-01  0.7145341663  0.797013538
#>  [9674,] -3.202452e-01  4.687819e-01  0.4687818894  0.468781889
#>  [9675,]  4.346678e-01  4.346678e-01  0.4346678034  0.434667803
#>  [9676,]  1.934606e-01  1.934606e-01  0.1934606231  0.741329094
#>  [9677,]  2.476147e-01  2.476147e-01  0.4710182835  0.471018284
#>  [9678,]  4.482858e-01  4.482858e-01  0.4482857700  0.448285770
#>  [9679,] -1.947457e-01  6.725797e-01  0.6725797440  0.672579744
#>  [9680,]  5.548543e-02  5.573195e-01  0.5573194701  0.786447489
#>  [9681,]  7.658416e-01  7.658416e-01  0.7658416473  0.564922471
#>  [9682,]  4.596153e-01  4.596153e-01  0.4596153354  0.459615335
#>  [9683,]  6.062837e-01  6.062837e-01  0.6062836971  0.606283697
#>  [9684,]  4.576957e-01  4.576957e-01  0.4541568091  0.457695704
#>  [9685,] -1.065026e-01  6.004665e-01  0.6004664613  0.600466461
#>  [9686,] -4.525244e-01  5.742827e-01  0.5742827412  0.574282741
#>  [9687,]  3.904446e-01  3.870381e-01  0.3904445760  0.982294012
#>  [9688,] -1.800274e-01  3.165729e-01  0.8248695181  0.777437899
#>  [9689,]  2.702241e-01  6.303898e-01  0.5169767034  0.549969553
#>  [9690,]  5.147218e-01  7.379644e-01  0.2884114456  0.514721824
#>  [9691,]  4.765218e-01  4.765218e-01  0.1289367988  0.882233721
#>  [9692,] -1.802842e-01  6.064026e-01  0.3646098286  0.606402553
#>  [9693,]  1.542190e-01  3.422427e-01  0.4652875661  0.703344399
#>  [9694,] -3.432124e-01  6.602178e-01  0.4214248808  0.421424881
#>  [9695,]  3.282226e-01  5.711523e-01  0.5711523396  0.328222553
#>  [9696,]  3.148830e-01  2.843295e-01  1.0307451546  0.301369408
#>  [9697,]  2.597845e-01  2.597845e-01  0.2597845242  0.259784524
#>  [9698,]  2.504017e-01  2.504017e-01  0.2504017357  0.640220226
#>  [9699,]  3.089482e-01  3.089482e-01  0.3433409164  0.542318644
#>  [9700,]  4.053664e-01  6.077902e-01  0.5985619020  0.607790200
#>  [9701,]  4.088361e-01  5.417334e-01  0.5305361589  0.891565204
#>  [9702,]  4.226957e-01  1.802357e-01  0.5025708676  0.906566055
#>  [9703,] -3.230884e-01  4.782887e-01  0.5060484159  0.506048416
#>  [9704,]  3.693291e-01  1.313460e-01  0.1313460461  0.382411758
#>  [9705,]  1.475358e-01  4.013359e-01  0.4013401137  0.737038747
#>  [9706,]  4.144922e-01  4.144922e-01  0.4144921596  1.103125922
#>  [9707,]  5.932306e-01  9.935534e-01  0.5932305720  0.809449458
#>  [9708,]  1.880652e-01  3.037449e-01  0.3648639952  0.188065229
#>  [9709,]  3.492805e-01  2.408877e-01  0.6107763722  0.349280517
#>  [9710,]  3.924165e-01  6.557551e-01  0.3924164720  0.392416472
#>  [9711,]  9.996341e-02  6.792800e-01 -0.1221111195  0.319263253
#>  [9712,]  1.273151e-01  7.150580e-01  0.2406313827  0.995697048
#>  [9713,]  3.222688e-02  3.467814e-01  0.4207881973  1.227603649
#>  [9714,] -1.186733e-01  4.019690e-01  0.2780017517  1.014170415
#>  [9715,] -3.617746e-02  5.859495e-01  0.3135166491  0.516862023
#>  [9716,]  2.975999e-01  7.946130e-01  0.6082887537  0.584320217
#>  [9717,] -1.890384e-01  6.024909e-01  0.4930142140  0.319204700
#>  [9718,] -1.395101e-01  6.472138e-01  0.5320055945  0.601375564
#>  [9719,] -2.048968e-01  4.430870e-01  0.4851351409  0.628543668
#>  [9720,] -2.130044e-01  3.584658e-01  0.7430813710  0.532454288
#>  [9721,]  6.439067e-01  6.531491e-01  0.6111453253  0.643906724
#>  [9722,]  6.849500e-01  2.673412e-01  0.4323197842  0.890651411
#>  [9723,]  5.265311e-01  7.438455e-01  0.3719678682  0.842460925
#>  [9724,]  5.566942e-01  5.566942e-01  0.2621029710  0.505340928
#>  [9725,] -3.812206e-01  2.912680e-01  0.2912679568  0.787878489
#>  [9726,]  3.434584e-01  3.434584e-01  0.5873863782  0.587386378
#>  [9727,]  4.478968e-01  4.478968e-01  0.4478967562  0.447896756
#>  [9728,]  5.243606e-01  5.243606e-01  0.5243605680  0.524360568
#>  [9729,]  5.550820e-01  5.550820e-01  0.5550820106  0.555082011
#>  [9730,] -4.688688e-01  2.240299e-01  0.4585339268  0.542921384
#>  [9731,]  2.956137e-01  3.444919e-01  0.4536837556  0.344491906
#>  [9732,]  3.917279e-01  3.917279e-01  0.3917279244  0.391727924
#>  [9733,]  3.108618e-01  3.108618e-01  0.7173006995  0.310861782
#>  [9734,]  6.182863e-01  6.182863e-01  0.4121799451  0.618286262
#>  [9735,] -2.590917e-02  5.443256e-01  0.5607490963  0.560749096
#>  [9736,]  4.119544e-01  7.168953e-01  0.4119543616  1.157355691
#>  [9737,]  1.827894e-01  1.827894e-01  0.6771692295  0.694046829
#>  [9738,]  1.049752e-01  4.349731e-01  0.1049751953  0.714980667
#>  [9739,]  5.796460e-01  5.685804e-01  0.3303502488  0.579646036
#>  [9740,]  4.387747e-02  5.669803e-01  0.7328609262  0.636586039
#>  [9741,]  5.641776e-01  7.662796e-01  0.5177565791  0.766279575
#>  [9742,]  5.646012e-01  5.646012e-01  0.5646011629  0.564601163
#>  [9743,]  5.353854e-01  5.353854e-01  0.5353854281  0.535385428
#>  [9744,]  6.962680e-01  6.962680e-01  0.6962680155  1.121992858
#>  [9745,] -3.540083e-01  3.374248e-01  0.6617599670  1.058958170
#>  [9746,] -5.982376e-01  3.775330e-01  0.3433621156  0.461426537
#>  [9747,]  2.704356e-01  7.497029e-01  0.5266555939  0.749702944
#>  [9748,]  2.037487e-01  6.927925e-01  0.5848647792  0.509754705
#>  [9749,]  2.507812e-01  7.841811e-01  0.7636814901  0.784181087
#>  [9750,]  3.520672e-01  3.520672e-01  0.3520671699  0.352067170
#>  [9751,]  1.129066e-01  6.164297e-01  0.1129066300  1.029835366
#>  [9752,]  5.383034e-01  6.242846e-01  0.1743686320  0.813161458
#>  [9753,]  2.352024e-01  6.418380e-01  0.5305078155  0.530507815
#>  [9754,]  3.298190e-01  4.232485e-01  0.5989621993  0.493985923
#>  [9755,]  1.518628e-01  4.718090e-01  0.6459762443  0.471808957
#>  [9756,] -5.530848e-01  4.611397e-01  0.5070688068  0.949875676
#>  [9757,]  4.070569e-01  6.705068e-01  0.6705067619  0.670506762
#>  [9758,]  7.250725e-02  7.250725e-02  0.4408112870  0.885158397
#>  [9759,]  2.642609e-01  2.642609e-01  0.2642609157  0.264260916
#>  [9760,]  3.356759e-01  8.280711e-01  0.8280710906  0.828071091
#>  [9761,] -5.488970e-02  5.432291e-01  0.5432290892  0.406127859
#>  [9762,]  5.168615e-02  7.890890e-01  0.7890889979  0.789088998
#>  [9763,]  5.844743e-01  5.844743e-01  0.5844742687  0.584474269
#>  [9764,]  4.330469e-01  5.200979e-01  0.4330468737  0.433046874
#>  [9765,]  4.939554e-01  4.939554e-01  0.4939553889  0.493955389
#>  [9766,]  5.393216e-01  5.393216e-01  0.5393215761  0.539321576
#>  [9767,]  5.140754e-01  5.140754e-01  0.5140754488  0.514075449
#>  [9768,]  3.076234e-01  3.076234e-01  0.3076234070  0.307623407
#>  [9769,]  3.490049e-01  3.490049e-01  0.3490049252  0.349004925
#>  [9770,]  4.051028e-01  4.051028e-01  0.4051027812  0.405102781
#>  [9771,]  5.652475e-01  5.652475e-01  0.5652475098  0.565247510
#>  [9772,]  5.837379e-01  5.837379e-01  0.5837379226  0.583737923
#>  [9773,]  5.015164e-01  5.015164e-01  0.5015164069  0.501516407
#>  [9774,]  4.712591e-01  4.712591e-01  0.4712590508  0.471259051
#>  [9775,]  4.763032e-01  4.763032e-01  0.4763032079  0.476303208
#>  [9776,]  3.780996e-01  3.780996e-01  0.3780995682  0.378099568
#>  [9777,]  5.696803e-01  5.696803e-01  0.5696802561  0.569680256
#>  [9778,]  3.171143e-01  7.595768e-01  0.7595767854  0.759576785
#>  [9779,]  2.450819e-01  4.832608e-01  0.8862476870  0.673689881
#>  [9780,]  8.521990e-02  8.224282e-01  0.8224281855  0.513505421
#>  [9781,]  4.324706e-01  4.324706e-01  0.4324706367  0.837367707
#>  [9782,]  6.149918e-01  6.851420e-01  0.6851420321  0.614991752
#>  [9783,]  2.437232e-01  8.555240e-01  0.8555240240  0.855524024
#>  [9784,]  5.058701e-01  6.228395e-01  0.5058701207  0.622839494
#>  [9785,]  4.331423e-01  4.331423e-01  0.4331423227  0.433142323
#>  [9786,]  4.009438e-01  4.009438e-01  0.4009437504  0.400943750
#>  [9787,]  6.245974e-01  6.245974e-01  0.6245974201  0.624597420
#>  [9788,]  2.946876e-01  2.946876e-01  0.4406029220  0.517041816
#>  [9789,]  4.237085e-01  4.237085e-01  0.4237085355  0.423708535
#>  [9790,]  5.486674e-01  5.486674e-01  0.5486673887  0.548667389
#>  [9791,]  5.603176e-01  1.569321e-01  0.5603176059  0.560317606
#>  [9792,]  4.891805e-01  5.100240e-01  0.4891805073  0.489180507
#>  [9793,]  7.463717e-01  7.463717e-01  0.2280767797  0.746371697
#>  [9794,]  2.114805e-01  5.770941e-01  0.5770940956  0.577094096
#>  [9795,]  4.390010e-01  7.762594e-01  0.7762594162  0.776259416
#>  [9796,]  4.702673e-01  5.712913e-01  0.5712912710  0.571291271
#>  [9797,]  2.735589e-01  1.590305e-01  0.2735589129  0.849274301
#>  [9798,]  1.474204e-01  6.572741e-01  0.6376058338  1.001179795
#>  [9799,]  4.237230e-01  6.302152e-01  0.4237230280  0.490993383
#>  [9800,]  2.101129e-01  5.506022e-01  0.3836808647  0.531580532
#>  [9801,]  2.856233e-01  5.887292e-01  0.2250285385  1.004839431
#>  [9802,]  5.553965e-01  4.617268e-01  0.8891564565  0.555396534
#>  [9803,]  2.335932e-01  4.902403e-01  0.3130360871  0.313036087
#>  [9804,]  4.824199e-01  4.869909e-01  0.4869908661  0.482419887
#>  [9805,] -7.888203e-02  8.958214e-02  0.9228742761  0.390443089
#>  [9806,]  1.607139e-01  6.777788e-01  0.6777788078  0.677778808
#>  [9807,]  5.194627e-01  7.825716e-01  0.9145569759  0.914556976
#>  [9808,] -7.221454e-03  1.114381e+00  0.4360469689  1.063740626
#>  [9809,]  9.308468e-02  8.323115e-02  0.5880664582  1.200725397
#>  [9810,]  1.225912e-01  9.776435e-01  0.5849051873  0.977643546
#>  [9811,]  4.490468e-02  1.529334e-01  0.6608435105  0.908133386
#>  [9812,] -6.202695e-01  1.274960e+00  0.5853603339  0.642191623
#>  [9813,] -2.164021e-01  4.133397e-01  0.5210805994  0.521080599
#>  [9814,] -2.189243e-01  4.514955e-01  0.4514954963  0.228295538
#>  [9815,] -5.958520e-02  5.558558e-01  0.5094657692  0.509465769
#>  [9816,]  1.109445e-01  5.551844e-01  0.7949352351  0.743387590
#>  [9817,]  2.142295e-01  6.217194e-01  0.3880559187  0.897872345
#>  [9818,]  4.086393e-01  6.382773e-01  0.4086392972  0.714806361
#>  [9819,] -2.195684e-01  6.235809e-01  0.6619559382  0.650066275
#>  [9820,] -3.423097e-02  3.671467e-01  0.7001683251  0.779470343
#>  [9821,] -2.513329e-01  8.889970e-01  0.4977137867  0.976393786
#>  [9822,]  1.674434e-01  4.489655e-01  0.6409574809  0.857422978
#>  [9823,]  8.647295e-02  6.271486e-01  0.3779809085  1.259364635
#>  [9824,]  4.431584e-01  2.780900e-01  0.5625143743  0.524908484
#>  [9825,]  4.075483e-01  3.145929e-01  0.6573832269  1.189065712
#>  [9826,]  4.439611e-01  3.552729e-01  0.4439611171  0.443961117
#>  [9827,] -4.362485e-01  3.648591e-01  0.3648591395  0.541883748
#>  [9828,] -1.179490e-01  2.811078e-01  0.0142542111  0.684873881
#>  [9829,]  1.830094e-01  4.849644e-01  1.0954360518  0.484964394
#>  [9830,]  1.774801e-01  7.314552e-01  0.7314552025  0.531730788
#>  [9831,] -1.309979e-01  7.821710e-01  0.8836626793  0.546690418
#>  [9832,]  1.105897e-01  2.547943e-01  0.2547942834  0.603231028
#>  [9833,] -4.898631e-02  4.830495e-01  0.3223248952  0.483049456
#>  [9834,]  1.645582e-01  3.129402e-01  0.3129401703  0.796587334
#>  [9835,] -2.104350e-01  7.005314e-01  0.6693986257  0.700531386
#>  [9836,] -7.239315e-02  5.273031e-01  0.1274044994  0.527303105
#>  [9837,]  2.824305e-02  5.493067e-01  0.5493067222  0.549306722
#>  [9838,]  2.845571e-01  7.159599e-01  0.7159598975  0.715959898
#>  [9839,]  4.661476e-01  4.661476e-01  0.4661475682  1.054257153
#>  [9840,]  3.629347e-01  3.629347e-01  0.3629346596  0.362934660
#>  [9841,]  7.647581e-01  7.647581e-01  0.7647580789  0.764758079
#>  [9842,]  4.350093e-01  4.350093e-01  0.4350092786  0.435009279
#>  [9843,] -1.657914e-01  3.320358e-01  0.3320357872  0.332035787
#>  [9844,]  4.239803e-01  4.239803e-01  0.4239802606  0.423980261
#>  [9845,]  6.702269e-01  6.702269e-01  0.6702268542  0.670226854
#>  [9846,]  6.144786e-01  2.349038e-01  0.2349037713  0.880407340
#>  [9847,]  3.260054e-01  5.466696e-01  0.7298514014  0.326005425
#>  [9848,]  9.885473e-02  7.712219e-01  0.7716791879  0.771221861
#>  [9849,]  2.594147e-01  6.662442e-01  0.6662441785  0.866964370
#>  [9850,]  4.598197e-01  5.755952e-01  0.7062066814  0.706206681
#>  [9851,] -2.554896e-01  7.050428e-01 -0.0067046678  0.992801386
#>  [9852,]  2.131684e-01  2.212685e-01  0.3827402986  0.962299399
#>  [9853,] -2.772514e-02  2.355923e-01  0.3063561355  1.045407693
#>  [9854,] -1.656139e-01  3.905912e-01  0.3905911980  0.390591198
#>  [9855,]  2.205276e-01  5.563731e-01  0.7902733370  0.904861942
#>  [9856,] -3.873009e-01  5.393957e-01  0.4762078632  0.685697366
#>  [9857,]  2.577777e-01  2.577777e-01  0.2577777165  0.722510608
#>  [9858,]  2.992719e-01  5.044910e-01  0.5044910160  0.504491016
#>  [9859,]  2.355201e-01  8.700916e-01  0.8700915773  0.870091577
#>  [9860,]  7.571781e-01  7.571781e-01  0.2756430745  0.747204058
#>  [9861,]  4.104753e-02  5.894116e-01  0.5894115989  0.589411599
#>  [9862,]  2.768842e-03  4.389448e-01  0.4401195058  0.547975580
#>  [9863,]  7.362124e-02  7.362124e-02  0.4393153391  0.439315339
#>  [9864,] -2.091346e-01  7.757144e-01  0.7757144250  0.526926117
#>  [9865,] -2.316202e-02  5.745895e-01  0.8645299592  0.304469214
#>  [9866,]  2.072157e-01  7.694263e-01  0.2072156558  0.769426335
#>  [9867,] -2.082045e-02  3.105284e-01 -0.0208204472  0.743944157
#>  [9868,]  5.847158e-01  1.698876e-01  0.5538670618  0.553867062
#>  [9869,]  1.881969e-01  1.118656e+00  0.2496699788  1.118655857
#>  [9870,]  2.515080e-01  1.020936e-01  0.1020936470  0.776045164
#>  [9871,]  2.824354e-02  3.855554e-01  0.3855553608  0.824011269
#>  [9872,]  1.965989e-02  4.908844e-01  0.4908843997  0.936309710
#>  [9873,]  4.555108e-01  4.555108e-01  0.5456506220  0.455510755
#>  [9874,]  2.370714e-01  2.370714e-01  0.3235714488  0.237071404
#>  [9875,]  3.247763e-01  7.823087e-01  0.3866049087  0.923162307
#>  [9876,]  2.192604e-01  1.985036e-01  0.5274088044  0.652952549
#>  [9877,] -1.813183e-02  5.012794e-01  0.4324247438  0.501279430
#>  [9878,] -9.511860e-02  7.920422e-01  0.5389255783  0.792042162
#>  [9879,]  7.475214e-01  7.475214e-01  1.0693849665  0.747521363
#>  [9880,]  2.499798e-01  6.850991e-01  0.5593208753  0.817120657
#>  [9881,]  5.670834e-01  5.591831e-01  0.8134509924  0.567083405
#>  [9882,]  7.361702e-01  1.208338e-01  0.1208337946  0.736170198
#>  [9883,]  1.917012e-01  7.318443e-01  0.3859872440  0.385987244
#>  [9884,]  3.492549e-01  3.492549e-01  0.3492549017  0.349254902
#>  [9885,]  2.893560e-01  3.258406e-01  0.3506106496  0.350610650
#>  [9886,]  5.396779e-01  4.538945e-01  0.5396778691  0.539677869
#>  [9887,]  3.177467e-01 -1.269870e-02  0.5219152252  0.521915225
#>  [9888,]  6.010088e-02  5.026503e-01  0.5026503370  0.502650337
#>  [9889,]  3.756123e-01  6.400093e-01  0.6400093212  0.640009321
#>  [9890,]  2.099777e-01  2.099777e-01  0.2099776601  0.209977660
#>  [9891,]  9.290702e-02  1.606370e-01  0.1606370367  0.160637037
#>  [9892,] -6.560915e-02  3.451865e-01 -0.0656091485  0.345186527
#>  [9893,]  8.654790e-02  6.607931e-02  0.2847235388  0.508222611
#>  [9894,]  1.480914e-01  3.131306e-01  0.6583753938  0.658375394
#>  [9895,]  8.117944e-02  6.558170e-01  0.5257006067  0.558190929
#>  [9896,]  3.969116e-01  6.066072e-01  0.3025157443  0.606607178
#>  [9897,]  3.641553e-01  3.641553e-01  0.3685038606  0.619628048
#>  [9898,]  2.949749e-01  5.066422e-01  0.7975206381  0.407944658
#>  [9899,]  4.980936e-01  5.933845e-01  0.4980936423  0.498093642
#>  [9900,]  4.591962e-01  4.591962e-01  0.4591961997  0.459196200
#>  [9901,]  4.495957e-01  4.495957e-01  0.4495956584  0.736208353
#>  [9902,]  3.549362e-01  3.549362e-01  0.3549362203  0.616738372
#>  [9903,]  2.085357e-01  2.085357e-01  0.2085356724  1.101600085
#>  [9904,]  3.174630e-01  3.174630e-01  0.3174630418  0.317463042
#>  [9905,]  7.423943e-01  7.423943e-01  0.7423942610  0.742394261
#>  [9906,]  1.561874e-01  7.908124e-01  0.7908124006  0.790812401
#>  [9907,]  3.243635e-01  5.195900e-01  0.3243635327  0.519589953
#>  [9908,]  3.502335e-01  3.502335e-01  0.3502335049  0.350233505
#>  [9909,]  5.042129e-01  5.042129e-01  0.6435947696  0.643594770
#>  [9910,]  5.505605e-01  6.429085e-01  0.8284700198  0.551546533
#>  [9911,]  4.469597e-01  4.469597e-01  1.0529729262  0.446959747
#>  [9912,]  1.695202e-01  6.964752e-01  0.5451181648  0.545118165
#>  [9913,]  3.015406e-01  3.015406e-01  0.3015406482  0.301540648
#>  [9914,] -3.937699e-01  4.790152e-01  0.5231759406  0.523175941
#>  [9915,]  5.740364e-01  4.588059e-01  0.5740363770  0.574036377
#>  [9916,]  3.970664e-01  3.970664e-01  0.3970664385  0.855452589
#>  [9917,]  1.478739e-01  1.478739e-01  0.1478738880  0.806815003
#>  [9918,]  3.309641e-01  3.309641e-01  0.3403085044  0.879438516
#>  [9919,]  8.958144e-02 -4.648170e-02  0.3267765954  0.242074932
#>  [9920,]  2.344718e-01  5.574206e-01  0.2808055544  1.021361158
#>  [9921,]  1.010596e-01  4.181572e-01  0.0484863799  0.101059619
#>  [9922,]  4.705184e-01  2.972453e-01  0.4705184326  0.470518433
#>  [9923,]  6.126422e-01  6.126422e-01  0.6126422207  0.612642221
#>  [9924,]  4.422940e-01  6.900978e-01  0.6900978107  0.690097811
#>  [9925,] -3.561597e-01  7.447904e-01  0.7447903893  0.744790389
#>  [9926,] -2.693840e-02  4.673078e-01  0.4673077544  0.467307754
#>  [9927,] -5.203196e-02  5.144822e-01 -0.0245788629  0.514482150
#>  [9928,]  4.356901e-01  3.987728e-01  0.4356900763  0.435690076
#>  [9929,]  5.288089e-01  5.779764e-01  0.5288088570  0.577976411
#>  [9930,] -3.039061e-01  6.124588e-01  0.4200021473  0.420002147
#>  [9931,]  4.473089e-01  4.473089e-01  0.4473089086  0.447308909
#>  [9932,]  5.667037e-01  5.667037e-01  0.6682134365  0.566703669
#>  [9933,]  5.610217e-01  5.610217e-01  0.5610217170  0.561021717
#>  [9934,] -1.607561e-01  5.365501e-01  0.5365500954  0.536550095
#>  [9935,]  2.050480e-01  4.277752e-01  0.5292885743  0.529288574
#>  [9936,]  4.408873e-01  4.408873e-01  0.4408872559  0.440887256
#>  [9937,] -4.442804e-01  5.593733e-01  0.5593732882  0.559373288
#>  [9938,] -2.021380e-01  6.923102e-01  0.6923101869  0.394996029
#>  [9939,] -1.953341e-02  5.873268e-01  0.5873268202  0.587326820
#>  [9940,] -1.181762e-01  7.475081e-01  0.7475080711  0.747508071
#>  [9941,]  6.515465e-02  7.173232e-01  0.7173231677  0.717323168
#>  [9942,]  4.643879e-01  4.643879e-01  0.4643878784  0.464387878
#>  [9943,]  6.989370e-01  6.989370e-01  0.6989370046  0.698937005
#>  [9944,]  5.088941e-01  5.088941e-01  0.5088940635  0.508894063
#>  [9945,]  3.459239e-01  2.805290e-01  0.2805289909  0.280528991
#>  [9946,]  4.986591e-01  4.986591e-01  0.3669941772  0.498659064
#>  [9947,]  6.748454e-01  6.748454e-01  0.6748453718  0.674845372
#>  [9948,]  6.131445e-01  6.131445e-01  0.6131444574  0.613144457
#>  [9949,] -1.621006e-01 -1.621006e-01  0.5610239116  0.434124742
#>  [9950,]  1.200620e-01  4.473650e-01  0.4473650200  0.447365020
#>  [9951,]  3.827779e-01  3.827779e-01  0.3827778906  0.382777891
#>  [9952,]  3.718070e-01  3.718070e-01  1.0361691220  0.542016427
#>  [9953,]  1.266933e-01  4.364458e-01  0.4364458345  0.126693336
#>  [9954,]  4.985312e-01  3.000211e-01  0.4985311993  0.498531199
#>  [9955,]  3.671243e-01  4.087016e-01  0.4087016133  0.775369564
#>  [9956,]  2.093458e-01  2.093458e-01  1.0818991175  0.209345806
#>  [9957,]  2.765107e-01  2.765107e-01  0.2765107146  0.276510715
#>  [9958,]  4.110089e-01  4.110089e-01  0.2115020589  0.852177391
#>  [9959,]  1.664343e-01  5.503040e-01  0.6796192915  0.550303967
#>  [9960,]  2.575881e-01  3.446714e-01  0.6199947071  0.619994707
#>  [9961,]  3.426960e-01  3.253689e-01  0.4840969608  0.325368887
#>  [9962,]  3.141699e-01  3.141699e-01  0.7523217705  0.314169883
#>  [9963,]  3.965617e-01  6.671731e-01  0.6747500456  0.667173071
#>  [9964,]  5.643559e-01  6.488070e-01  0.9293473958  0.648806959
#>  [9965,] -3.685473e-01  4.028102e-01  0.4028101984  0.248289643
#>  [9966,]  5.497006e-01  5.497006e-01  0.5497005692  0.453389079
#>  [9967,]  1.653615e-01  1.653615e-01  0.3616349034  0.352836773
#>  [9968,]  2.030482e-01 -7.655099e-02  0.3738041048  0.335690366
#>  [9969,]  1.670324e-01  7.352751e-01  0.6401278890  0.735275099
#>  [9970,]  4.361082e-02  2.733755e-01  0.6895975219  0.883913555
#>  [9971,]  3.889824e-01  3.683463e-01 -0.3450836725  0.771175545
#>  [9972,]  4.242070e-01  4.242070e-01  0.4242070163  0.868573702
#>  [9973,]  1.137270e-01  7.351304e-01  0.2113944104  0.739577797
#>  [9974,]  2.737974e-01  7.561930e-01  0.7561929592  0.756192959
#>  [9975,]  5.573389e-01  5.573389e-01  0.5573388736  0.557338874
#>  [9976,]  6.181099e-01  6.181099e-01  0.6181098630  0.618109863
#>  [9977,]  6.490200e-01  6.490200e-01  0.6490200461  0.649020046
#>  [9978,]  7.669657e-01  7.669657e-01  0.7669656690  0.558560064
#>  [9979,] -1.277086e-01  4.740238e-01  0.4740238219  0.474023822
#>  [9980,]  5.613260e-01  5.613260e-01  0.5613260250  0.561326025
#>  [9981,]  1.528987e-01  5.573377e-01  0.5573376884  0.557337688
#>  [9982,]  1.314068e-01  5.470126e-01  0.7677038897  0.767703890
#>  [9983,] -5.793414e-02  5.099203e-01  0.5099203197  0.552744172
#>  [9984,] -1.183646e-01  3.966730e-01  0.3966730181  0.815123033
#>  [9985,]  3.004362e-01  4.363803e-01  0.8894586482  0.889458648
#>  [9986,] -4.339032e-01  3.864200e-01  0.4338028762  0.656181505
#>  [9987,] -8.048710e-02  3.693925e-01  0.6095360499  0.626040500
#>  [9988,]  4.848656e-01  7.373166e-02  0.3139183061  0.613973280
#>  [9989,]  4.630970e-01  2.855340e-01  0.8603926409  0.860392641
#>  [9990,]  4.132993e-01  7.003988e-01  0.5588254800  0.700398769
#>  [9991,]  5.067647e-01  5.067647e-01  0.8020121028  0.560587429
#>  [9992,]  6.340430e-01  9.156037e-01  0.7933031004  0.915603744
#>  [9993,]  3.573723e-01  4.561836e-01  0.3573723159  1.063198330
#>  [9994,]  9.426754e-02  4.932700e-01  0.4903551910  0.490355191
#>  [9995,]  6.273816e-01  6.273816e-01  0.5341149203  0.697055463
#>  [9996,]  4.146266e-01  2.392994e-01  0.5571290701  0.414626596
#>  [9997,]  4.875065e-01  1.906079e-01  0.5162166247  0.745744466
#>  [9998,]  5.797308e-02  4.492622e-01  0.4215637720  0.655282643
#>  [9999,] -1.793989e-01  4.011214e-01  0.8929828622  0.694161511
#> [10000,] -5.635514e-02  1.542850e-01  0.8937096670  0.796685734
#> 
#> $cluster
#>          [,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8] [,9]
#>     [1,]    1    2    2    2    3    4    5    5    6
#>     [2,]    1    1    1    2    2    3    4    4    5
#>     [3,]    1    1    2    3    2    4    5    6    5
#>     [4,]    1    2    2    3    4    5    6    7    7
#>     [5,]    1    1    2    3    1    4    5    6    6
#>     [6,]    1    2    3    1    1    4    5    4    5
#>     [7,]    1    2    3    3    4    5    6    7    5
#>     [8,]    1    2    1    3    2    4    5    5    6
#>     [9,]    1    1    2    3    4    5    5    6    5
#>    [10,]    1    1    1    2    1    3    4    5    6
#>    [11,]    1    1    1    1    1    2    3    4    5
#>    [12,]    1    1    2    3    1    4    5    6    7
#>    [13,]    1    2    2    1    3    4    4    5    6
#>    [14,]    1    2    3    4    1    5    6    5    6
#>    [15,]    1    2    3    4    5    6    7    8    8
#>    [16,]    1    2    3    4    5    6    7    8    8
#>    [17,]    1    2    1    3    4    5    6    6    6
#>    [18,]    1    2    3    4    5    6    7    6    8
#>    [19,]    1    2    3    4    1    3    5    5    6
#>    [20,]    1    1    2    1    1    3    4    4    5
#>    [21,]    1    1    1    1    1    2    3    4    3
#>    [22,]    1    2    1    2    2    3    4    5    3
#>    [23,]    1    2    2    1    1    3    3    3    3
#>    [24,]    1    1    1    1    1    2    2    3    3
#>    [25,]    1    1    1    1    1    2    3    2    2
#>    [26,]    1    1    1    1    1    2    3    3    4
#>    [27,]    1    2    2    2    2    3    4    4    5
#>    [28,]    1    2    3    4    4    5    6    7    7
#>    [29,]    1    2    3    1    2    4    4    4    5
#>    [30,]    1    2    3    4    4    5    5    6    6
#>    [31,]    1    1    1    2    1    3    3    3    3
#>    [32,]    1    1    2    1    3    4    4    4    4
#>    [33,]    1    2    2    2    3    4    5    5    5
#>    [34,]    1    1    2    1    1    3    3    3    3
#>    [35,]    1    2    3    3    3    4    4    4    4
#>    [36,]    1    2    3    3    3    4    5    5    5
#>    [37,]    1    2    2    1    3    4    5    6    7
#>    [38,]    1    1    1    2    2    3    4    5    6
#>    [39,]    1    2    2    1    3    4    4    5    6
#>    [40,]    1    1    2    1    2    3    4    5    5
#>    [41,]    1    1    1    2    3    4    5    6    6
#>    [42,]    1    2    3    3    3    4    5    6    5
#>    [43,]    1    2    1    1    2    3    4    5    6
#>    [44,]    1    1    2    2    1    3    4    5    4
#>    [45,]    1    1    1    2    2    3    4    5    6
#>    [46,]    1    2    3    4    5    6    7    8    9
#>    [47,]    1    2    1    3    4    5    6    7    8
#>    [48,]    1    2    3    4    5    6    7    8    9
#>    [49,]    1    2    3    4    5    6    7    8    9
#>    [50,]    1    2    3    4    5    6    7    8    9
#>    [51,]    1    2    3    4    5    6    6    7    6
#>    [52,]    1    1    1    2    3    4    4    5    5
#>    [53,]    1    1    1    2    3    4    5    6    6
#>    [54,]    1    1    1    2    1    3    3    4    3
#>    [55,]    1    2    1    3    4    5    5    5    6
#>    [56,]    1    2    3    4    5    6    7    8    9
#>    [57,]    1    2    3    4    5    6    7    7    8
#>    [58,]    1    2    1    3    1    4    5    4    5
#>    [59,]    1    2    1    3    4    5    6    6    6
#>    [60,]    1    1    1    2    2    3    4    3    3
#>    [61,]    1    1    2    2    3    4    5    5    6
#>    [62,]    1    2    2    1    2    3    3    4    3
#>    [63,]    1    2    2    3    2    4    4    5    4
#>    [64,]    1    2    2    3    1    4    5    5    6
#>    [65,]    1    2    1    3    4    5    6    5    6
#>    [66,]    1    2    3    2    4    5    5    6    6
#>    [67,]    1    1    1    2    3    4    5    5    6
#>    [68,]    1    1    2    2    1    3    4    3    4
#>    [69,]    1    1    2    3    2    4    5    6    7
#>    [70,]    1    2    3    3    1    4    5    6    6
#>    [71,]    1    2    1    3    2    4    5    4    4
#>    [72,]    1    1    2    1    1    3    3    4    5
#>    [73,]    1    2    1    2    1    3    4    5    6
#>    [74,]    1    1    2    3    4    5    6    6    7
#>    [75,]    1    2    3    3    4    5    6    7    8
#>    [76,]    1    2    2    3    2    4    5    6    5
#>    [77,]    1    2    2    2    3    4    5    5    6
#>    [78,]    1    2    1    3    1    4    5    5    5
#>    [79,]    1    2    1    3    1    4    5    6    5
#>    [80,]    1    2    2    1    2    3    4    4    4
#>    [81,]    1    2    3    3    3    4    5    6    7
#>    [82,]    1    2    3    2    2    4    5    6    6
#>    [83,]    1    1    2    1    1    3    4    5    4
#>    [84,]    1    1    1    2    2    3    4    5    5
#>    [85,]    1    2    3    3    2    4    5    6    7
#>    [86,]    1    1    2    1    3    4    4    5    6
#>    [87,]    1    1    2    1    3    4    5    5    6
#>    [88,]    1    1    2    3    3    4    5    4    5
#>    [89,]    1    2    1    1    2    3    3    3    3
#>    [90,]    1    1    1    1    2    3    3    3    3
#>    [91,]    1    1    1    1    2    3    4    4    5
#>    [92,]    1    1    1    2    3    4    5    6    6
#>    [93,]    1    1    1    2    3    4    5    5    6
#>    [94,]    1    1    2    3    2    4    5    6    6
#>    [95,]    1    1    1    2    1    3    3    3    3
#>    [96,]    1    1    1    2    1    3    4    5    4
#>    [97,]    1    1    2    1    1    3    4    5    6
#>    [98,]    1    1    2    2    2    3    4    4    4
#>    [99,]    1    2    2    3    1    4    5    6    6
#>   [100,]    1    2    1    3    1    4    4    4    4
#>   [101,]    1    2    1    3    1    4    5    6    5
#>   [102,]    1    2    1    1    3    4    5    6    4
#>   [103,]    1    2    1    2    2    3    4    4    4
#>   [104,]    1    1    2    1    3    4    5    6    6
#>   [105,]    1    2    2    2    1    3    4    5    4
#>   [106,]    1    2    3    4    3    5    6    7    8
#>   [107,]    1    2    2    3    4    5    6    7    6
#>   [108,]    1    1    2    3    4    5    6    7    6
#>   [109,]    1    2    3    4    4    5    6    7    8
#>   [110,]    1    2    2    1    1    3    4    5    6
#>   [111,]    1    1    2    3    4    5    6    5    7
#>   [112,]    1    2    3    4    5    6    6    7    8
#>   [113,]    1    2    3    1    2    4    5    6    7
#>   [114,]    1    2    2    3    4    5    6    7    8
#>   [115,]    1    2    3    4    5    6    7    7    8
#>   [116,]    1    2    3    4    3    5    6    6    7
#>   [117,]    1    2    2    3    2    4    5    6    6
#>   [118,]    1    1    2    3    4    5    6    7    8
#>   [119,]    1    1    2    3    4    5    6    5    6
#>   [120,]    1    1    2    3    3    4    4    5    5
#>   [121,]    1    2    2    2    2    3    4    3    5
#>   [122,]    1    2    1    2    1    3    4    5    5
#>   [123,]    1    2    3    4    5    6    7    7    7
#>   [124,]    1    2    3    4    3    5    6    7    8
#>   [125,]    1    2    3    4    5    6    7    8    9
#>   [126,]    1    2    3    4    5    6    7    8    9
#>   [127,]    1    2    1    3    4    5    6    7    8
#>   [128,]    1    2    1    3    1    4    5    6    6
#>   [129,]    1    2    2    3    4    5    5    5    6
#>   [130,]    1    2    3    4    5    6    7    8    9
#>   [131,]    1    2    2    3    4    4    5    6    7
#>   [132,]    1    1    2    3    1    4    5    5    6
#>   [133,]    1    2    3    4    4    5    6    7    8
#>   [134,]    1    2    3    1    4    5    6    7    8
#>   [135,]    1    2    3    4    5    6    7    7    7
#>   [136,]    1    2    2    1    2    3    4    4    5
#>   [137,]    1    1    1    1    1    2    3    3    3
#>   [138,]    1    1    1    1    1    2    3    3    4
#>   [139,]    1    1    2    1    2    2    3    4    5
#>   [140,]    1    2    2    3    2    4    5    4    6
#>   [141,]    1    2    1    2    2    3    4    3    3
#>   [142,]    1    1    2    1    1    3    4    4    4
#>   [143,]    1    2    3    3    3    4    5    6    5
#>   [144,]    1    1    2    2    2    3    4    3    3
#>   [145,]    1    2    2    2    1    3    3    4    5
#>   [146,]    1    1    1    1    1    2    3    4    5
#>   [147,]    1    1    1    2    2    3    4    3    3
#>   [148,]    1    2    3    4    4    5    6    7    8
#>   [149,]    1    2    1    1    1    3    4    4    5
#>   [150,]    1    2    1    2    1    3    3    4    4
#>   [151,]    1    1    1    2    1    3    4    5    4
#>   [152,]    1    1    1    2    1    3    3    3    3
#>   [153,]    1    1    1    2    2    3    3    3    3
#>   [154,]    1    1    2    1    1    3    3    3    4
#>   [155,]    1    2    3    3    3    4    4    4    4
#>   [156,]    1    2    2    2    3    4    5    6    5
#>   [157,]    1    2    1    3    4    5    6    7    7
#>   [158,]    1    2    3    4    4    5    6    7    8
#>   [159,]    1    1    2    3    4    5    6    7    7
#>   [160,]    1    2    3    4    5    6    7    8    9
#>   [161,]    1    2    3    4    5    6    7    8    9
#>   [162,]    1    2    1    3    4    5    6    7    6
#>   [163,]    1    2    2    3    4    5    6    6    7
#>   [164,]    1    1    2    1    2    3    4    5    6
#>   [165,]    1    2    1    2    2    3    3    4    3
#>   [166,]    1    1    1    1    1    2    3    3    3
#>   [167,]    1    2    2    2    3    4    5    6    5
#>   [168,]    1    2    1    3    1    4    5    4    4
#>   [169,]    1    2    3    4    1    5    6    5    5
#>   [170,]    1    1    1    1    1    2    2    2    2
#>   [171,]    1    1    1    1    2    3    3    3    3
#>   [172,]    1    1    1    1    2    3    3    3    3
#>   [173,]    1    1    2    1    2    3    3    3    3
#>   [174,]    1    1    1    1    1    2    2    2    2
#>   [175,]    1    1    1    1    1    2    2    2    2
#>   [176,]    1    1    1    1    1    2    2    2    2
#>   [177,]    1    1    1    1    1    2    2    2    2
#>   [178,]    1    1    1    1    1    2    2    2    2
#>   [179,]    1    1    1    2    1    3    3    3    3
#>   [180,]    1    1    1    1    1    2    2    2    2
#>   [181,]    1    1    1    2    2    3    4    4    4
#>   [182,]    1    1    2    1    1    3    4    4    4
#>   [183,]    1    1    1    1    1    2    2    2    3
#>   [184,]    1    1    1    1    1    2    2    2    2
#>   [185,]    1    1    1    1    1    2    2    2    2
#>   [186,]    1    1    1    1    2    3    3    3    3
#>   [187,]    1    1    1    1    1    2    2    2    2
#>   [188,]    1    1    2    2    2    3    3    3    3
#>   [189,]    1    1    2    1    2    3    4    4    4
#>   [190,]    1    1    1    2    2    3    3    4    4
#>   [191,]    1    2    2    1    1    3    3    3    3
#>   [192,]    1    2    1    1    3    4    5    6    6
#>   [193,]    1    2    3    4    5    6    7    7    7
#>   [194,]    1    1    2    3    4    5    6    6    5
#>   [195,]    1    2    2    3    2    4    4    5    6
#>   [196,]    1    2    2    3    4    5    6    7    6
#>   [197,]    1    2    3    4    5    6    7    7    8
#>   [198,]    1    2    3    4    4    5    6    7    8
#>   [199,]    1    2    3    4    5    6    7    8    9
#>   [200,]    1    2    3    4    1    5    6    6    7
#>   [201,]    1    2    3    4    4    5    6    7    8
#>   [202,]    1    2    3    3    3    4    5    6    6
#>   [203,]    1    2    2    2    3    4    5    6    6
#>   [204,]    1    1    1    1    1    2    3    4    4
#>   [205,]    1    1    1    1    2    3    4    5    5
#>   [206,]    1    1    1    2    1    3    3    3    3
#>   [207,]    1    1    1    1    2    3    3    3    3
#>   [208,]    1    2    3    2    4    5    6    6    6
#>   [209,]    1    2    2    1    3    4    4    4    5
#>   [210,]    1    1    2    2    2    3    4    5    4
#>   [211,]    1    1    1    1    1    2    2    3    2
#>   [212,]    1    2    3    2    2    4    4    5    6
#>   [213,]    1    1    2    3    4    5    6    7    6
#>   [214,]    1    1    2    3    2    4    5    4    4
#>   [215,]    1    1    1    2    1    3    4    4    4
#>   [216,]    1    2    3    1    3    4    5    6    4
#>   [217,]    1    2    2    1    2    3    4    5    6
#>   [218,]    1    1    1    1    2    3    4    5    4
#>   [219,]    1    1    2    1    3    4    4    4    4
#>   [220,]    1    1    2    3    1    4    4    4    4
#>   [221,]    1    2    1    3    4    5    5    5    5
#>   [222,]    1    2    2    2    2    3    3    3    3
#>   [223,]    1    2    1    1    1    3    4    4    4
#>   [224,]    1    2    3    4    5    6    6    6    6
#>   [225,]    1    2    3    4    4    5    6    5    5
#>   [226,]    1    2    1    1    3    4    5    6    5
#>   [227,]    1    2    3    4    4    5    6    7    6
#>   [228,]    1    2    2    2    3    4    5    6    6
#>   [229,]    1    1    2    2    3    4    5    6    7
#>   [230,]    1    2    3    3    3    4    5    5    6
#>   [231,]    1    2    2    3    4    5    6    7    8
#>   [232,]    1    1    1    2    1    3    4    5    6
#>   [233,]    1    2    3    3    2    4    5    6    7
#>   [234,]    1    2    3    4    1    5    6    7    8
#>   [235,]    1    2    3    1    4    5    6    7    8
#>   [236,]    1    1    2    3    2    4    5    6    7
#>   [237,]    1    2    3    4    5    6    7    8    9
#>   [238,]    1    2    2    2    3    4    5    6    7
#>   [239,]    1    1    2    2    3    4    5    5    5
#>   [240,]    1    2    1    2    2    3    4    4    4
#>   [241,]    1    1    1    1    1    2    3    3    4
#>   [242,]    1    1    1    1    1    2    3    2    3
#>   [243,]    1    2    2    1    2    3    3    3    3
#>   [244,]    1    2    2    2    1    3    4    4    5
#>   [245,]    1    2    3    4    5    6    7    7    7
#>   [246,]    1    2    2    3    3    4    5    6    7
#>   [247,]    1    2    3    4    5    6    7    7    6
#>   [248,]    1    1    1    1    2    3    4    4    3
#>   [249,]    1    2    3    4    5    6    7    7    8
#>   [250,]    1    2    3    1    1    4    5    6    7
#>   [251,]    1    2    2    3    3    4    4    5    6
#>   [252,]    1    1    2    2    2    3    4    5    5
#>   [253,]    1    1    2    3    4    5    6    7    5
#>   [254,]    1    1    2    1    1    3    4    5    5
#>   [255,]    1    2    1    1    2    3    4    3    5
#>   [256,]    1    1    1    1    2    3    3    3    3
#>   [257,]    1    1    2    2    1    3    3    4    5
#>   [258,]    1    2    3    4    4    5    6    7    8
#>   [259,]    1    2    3    3    4    5    6    7    8
#>   [260,]    1    2    2    2    3    4    4    5    4
#>   [261,]    1    1    2    1    3    4    5    6    4
#>   [262,]    1    2    1    2    3    4    5    5    6
#>   [263,]    1    2    3    4    2    5    5    6    7
#>   [264,]    1    1    2    3    4    5    6    5    7
#>   [265,]    1    2    2    3    4    5    6    7    8
#>   [266,]    1    2    3    3    4    5    6    7    8
#>   [267,]    1    2    3    2    3    4    5    6    7
#>   [268,]    1    2    2    3    4    5    6    7    8
#>   [269,]    1    2    3    1    4    5    5    6    7
#>   [270,]    1    2    3    3    1    4    5    5    4
#>   [271,]    1    2    3    4    1    5    6    7    8
#>   [272,]    1    2    1    3    4    5    6    7    6
#>   [273,]    1    2    3    4    2    5    5    5    6
#>   [274,]    1    2    2    3    3    4    5    6    7
#>   [275,]    1    2    1    1    3    4    5    5    6
#>   [276,]    1    2    3    3    4    5    6    7    5
#>   [277,]    1    2    2    2    1    3    4    4    5
#>   [278,]    1    2    3    4    5    6    7    8    9
#>   [279,]    1    2    3    4    5    6    7    8    9
#>   [280,]    1    2    3    4    2    5    6    7    7
#>   [281,]    1    2    3    4    5    6    7    8    9
#>   [282,]    1    2    3    4    5    6    7    8    8
#>   [283,]    1    2    3    2    4    5    6    5    6
#>   [284,]    1    1    2    3    1    4    5    6    7
#>   [285,]    1    2    2    3    4    5    6    6    7
#>   [286,]    1    1    1    2    3    4    5    6    7
#>   [287,]    1    1    2    3    2    4    4    5    6
#>   [288,]    1    2    3    4    2    5    5    6    7
#>   [289,]    1    1    2    3    1    4    5    5    6
#>   [290,]    1    2    3    1    1    4    5    6    7
#>   [291,]    1    2    3    4    5    6    6    7    8
#>   [292,]    1    2    3    4    5    6    7    8    9
#>   [293,]    1    2    3    4    5    6    7    8    9
#>   [294,]    1    2    2    3    1    4    5    6    7
#>   [295,]    1    2    3    4    2    5    6    7    8
#>   [296,]    1    1    2    3    2    4    5    6    7
#>   [297,]    1    2    3    2    3    4    4    5    5
#>   [298,]    1    2    3    4    5    6    7    7    7
#>   [299,]    1    1    2    3    4    5    5    5    6
#>   [300,]    1    2    3    4    5    6    6    7    8
#>   [301,]    1    2    3    4    4    5    6    7    8
#>   [302,]    1    2    1    2    1    3    4    5    6
#>   [303,]    1    1    1    1    1    2    3    3    3
#>   [304,]    1    1    1    1    1    2    3    4    2
#>   [305,]    1    1    2    1    2    3    4    3    3
#>   [306,]    1    2    1    1    1    3    4    4    4
#>   [307,]    1    1    2    2    2    3    3    4    3
#>   [308,]    1    2    3    3    3    4    4    4    5
#>   [309,]    1    2    1    1    3    4    4    5    6
#>   [310,]    1    2    3    4    2    5    6    7    8
#>   [311,]    1    2    3    4    5    6    7    8    8
#>   [312,]    1    2    3    2    4    5    6    7    8
#>   [313,]    1    2    2    1    3    4    5    6    7
#>   [314,]    1    2    2    2    2    3    4    4    4
#>   [315,]    1    2    2    2    2    3    4    3    4
#>   [316,]    1    1    2    1    1    3    4    4    4
#>   [317,]    1    2    1    1    1    3    3    3    3
#>   [318,]    1    1    2    1    1    3    3    3    3
#>   [319,]    1    1    2    1    1    3    3    3    3
#>   [320,]    1    2    2    3    1    4    5    4    4
#>   [321,]    1    2    3    1    3    4    4    5    6
#>   [322,]    1    1    1    2    3    4    5    6    5
#>   [323,]    1    1    1    1    1    2    3    4    5
#>   [324,]    1    1    1    1    1    2    3    2    3
#>   [325,]    1    2    1    1    1    3    4    4    5
#>   [326,]    1    1    2    3    3    4    5    5    5
#>   [327,]    1    1    2    3    3    4    4    4    4
#>   [328,]    1    2    2    2    2    3    4    4    4
#>   [329,]    1    2    2    3    2    4    5    5    5
#>   [330,]    1    1    1    1    1    2    3    3    3
#>   [331,]    1    2    2    1    3    4    4    5    6
#>   [332,]    1    1    1    1    1    2    3    2    4
#>   [333,]    1    1    1    1    2    3    4    5    4
#>   [334,]    1    1    2    1    2    3    3    3    3
#>   [335,]    1    1    1    1    2    3    3    3    3
#>   [336,]    1    1    1    1    1    2    2    2    2
#>   [337,]    1    1    2    1    2    3    3    3    3
#>   [338,]    1    2    2    3    4    5    6    7    8
#>   [339,]    1    2    2    3    2    4    5    6    7
#>   [340,]    1    1    2    3    4    5    6    7    8
#>   [341,]    1    2    3    4    4    5    6    7    8
#>   [342,]    1    2    3    4    4    5    6    7    8
#>   [343,]    1    2    3    1    4    5    6    6    6
#>   [344,]    1    2    3    4    5    6    7    8    6
#>   [345,]    1    2    3    4    5    6    7    8    7
#>   [346,]    1    2    3    3    4    5    6    5    7
#>   [347,]    1    2    3    3    4    5    5    6    7
#>   [348,]    1    2    1    3    2    4    5    6    7
#>   [349,]    1    2    3    3    4    5    6    5    7
#>   [350,]    1    1    2    3    4    5    6    6    7
#>   [351,]    1    2    1    2    2    3    4    5    6
#>   [352,]    1    2    1    1    1    3    4    4    5
#>   [353,]    1    1    2    1    3    4    5    4    6
#>   [354,]    1    2    2    1    2    3    4    3    4
#>   [355,]    1    2    1    3    1    4    5    5    6
#>   [356,]    1    1    2    3    3    4    5    5    5
#>   [357,]    1    2    1    1    1    3    4    4    4
#>   [358,]    1    2    3    1    4    5    5    6    7
#>   [359,]    1    2    2    3    4    5    6    7    7
#>   [360,]    1    2    3    4    3    5    6    6    6
#>   [361,]    1    2    3    2    4    5    5    5    6
#>   [362,]    1    2    3    4    4    5    6    6    7
#>   [363,]    1    2    3    1    4    5    6    7    6
#>   [364,]    1    1    2    3    1    4    4    5    5
#>   [365,]    1    1    1    2    1    3    4    4    4
#>   [366,]    1    2    2    2    3    4    4    5    6
#>   [367,]    1    2    3    4    5    6    7    8    7
#>   [368,]    1    2    3    4    5    6    6    6    7
#>   [369,]    1    2    3    2    2    4    5    6    7
#>   [370,]    1    1    1    1    2    3    4    5    6
#>   [371,]    1    1    2    3    4    5    6    7    5
#>   [372,]    1    2    3    3    4    5    6    7    7
#>   [373,]    1    2    3    4    3    5    6    5    5
#>   [374,]    1    2    1    1    1    3    4    5    6
#>   [375,]    1    2    2    2    2    3    4    5    6
#>   [376,]    1    2    3    4    4    5    6    7    8
#>   [377,]    1    2    3    4    4    5    6    6    7
#>   [378,]    1    2    3    4    5    6    6    6    7
#>   [379,]    1    2    3    4    1    5    5    5    5
#>   [380,]    1    2    1    1    2    3    3    4    3
#>   [381,]    1    2    3    2    4    5    5    6    7
#>   [382,]    1    1    2    1    3    4    5    5    6
#>   [383,]    1    2    3    2    4    5    6    7    7
#>   [384,]    1    2    2    3    4    5    6    7    6
#>   [385,]    1    1    2    3    4    5    5    6    5
#>   [386,]    1    2    3    4    5    6    6    7    8
#>   [387,]    1    2    3    1    4    5    6    7    5
#>   [388,]    1    1    2    3    2    4    5    5    5
#>   [389,]    1    2    3    4    4    5    5    5    5
#>   [390,]    1    2    3    3    3    4    5    6    7
#>   [391,]    1    2    3    4    5    6    7    8    9
#>   [392,]    1    2    3    3    4    5    6    7    8
#>   [393,]    1    2    3    4    5    6    7    8    9
#>   [394,]    1    2    2    3    4    5    6    6    7
#>   [395,]    1    2    3    4    5    6    7    8    7
#>   [396,]    1    2    1    2    3    4    5    6    7
#>   [397,]    1    2    3    4    5    6    7    8    7
#>   [398,]    1    2    2    3    3    4    4    4    5
#>   [399,]    1    2    1    3    4    5    6    7    8
#>   [400,]    1    2    3    4    5    6    7    8    8
#>   [401,]    1    2    3    4    5    6    7    7    8
#>   [402,]    1    2    3    4    5    6    7    8    8
#>   [403,]    1    1    2    3    2    4    5    5    6
#>   [404,]    1    2    2    3    4    5    6    7    7
#>   [405,]    1    2    3    2    4    5    5    5    6
#>   [406,]    1    2    3    3    4    5    5    6    7
#>   [407,]    1    2    3    4    5    6    7    8    8
#>   [408,]    1    1    2    1    1    3    4    4    4
#>   [409,]    1    2    3    4    5    6    6    7    7
#>   [410,]    1    2    3    4    4    5    6    7    6
#>   [411,]    1    1    1    2    3    4    5    6    6
#>   [412,]    1    1    2    1    3    4    4    4    4
#>   [413,]    1    1    1    2    1    3    3    3    3
#>   [414,]    1    1    2    1    1    3    4    4    4
#>   [415,]    1    1    1    1    1    2    3    3    3
#>   [416,]    1    1    1    1    1    2    2    2    2
#>   [417,]    1    1    1    1    1    2    2    2    2
#>   [418,]    1    2    1    1    1    3    4    4    4
#>   [419,]    1    1    1    2    1    3    4    4    5
#>   [420,]    1    1    1    1    2    2    3    4    5
#>   [421,]    1    2    3    2    1    4    4    5    6
#>   [422,]    1    2    2    3    4    5    5    5    6
#>   [423,]    1    2    3    2    3    4    5    4    4
#>   [424,]    1    1    2    2    3    4    5    6    5
#>   [425,]    1    1    2    3    1    4    5    4    5
#>   [426,]    1    1    1    2    2    3    4    3    5
#>   [427,]    1    2    2    3    3    4    5    6    5
#>   [428,]    1    2    2    2    2    3    4    4    4
#>   [429,]    1    2    2    3    2    4    4    4    4
#>   [430,]    1    1    1    1    1    2    2    2    2
#>   [431,]    1    1    1    1    1    2    2    2    2
#>   [432,]    1    1    1    2    2    3    3    3    3
#>   [433,]    1    2    2    3    2    4    4    4    4
#>   [434,]    1    1    2    1    1    3    4    4    5
#>   [435,]    1    2    1    2    2    3    3    3    3
#>   [436,]    1    1    1    1    2    3    3    3    3
#>   [437,]    1    1    1    2    3    2    4    5    5
#>   [438,]    1    1    1    1    1    2    3    2    2
#>   [439,]    1    1    1    1    1    2    2    3    4
#>   [440,]    1    1    1    1    1    2    3    4    4
#>   [441,]    1    1    1    1    1    2    3    2    3
#>   [442,]    1    2    1    1    1    3    4    4    5
#>   [443,]    1    1    1    1    2    3    4    5    4
#>   [444,]    1    1    1    1    1    2    3    2    2
#>   [445,]    1    1    1    1    2    3    3    4    4
#>   [446,]    1    1    1    2    3    4    5    6    6
#>   [447,]    1    1    1    1    1    2    3    3    4
#>   [448,]    1    1    2    1    3    4    4    5    6
#>   [449,]    1    1    2    3    4    5    6    7    8
#>   [450,]    1    2    3    4    4    5    6    7    8
#>   [451,]    1    1    2    3    4    5    6    7    8
#>   [452,]    1    1    2    3    4    5    6    7    7
#>   [453,]    1    1    2    3    1    4    5    6    6
#>   [454,]    1    2    3    4    4    5    6    7    5
#>   [455,]    1    1    2    3    4    5    6    7    8
#>   [456,]    1    1    2    3    4    5    6    6    7
#>   [457,]    1    2    1    3    1    4    5    5    6
#>   [458,]    1    2    3    2    3    4    5    6    6
#>   [459,]    1    1    1    1    2    3    4    3    4
#>   [460,]    1    1    1    1    1    2    2    2    2
#>   [461,]    1    1    1    1    1    2    2    2    2
#>   [462,]    1    1    1    1    1    2    2    2    2
#>   [463,]    1    1    1    1    1    2    2    2    2
#>   [464,]    1    1    1    1    2    3    3    3    3
#>   [465,]    1    1    1    1    1    2    2    2    2
#>   [466,]    1    1    1    1    1    2    2    2    2
#>   [467,]    1    1    1    2    3    4    4    4    5
#>   [468,]    1    2    1    1    3    4    5    6    7
#>   [469,]    1    1    2    1    3    4    5    5    5
#>   [470,]    1    2    3    3    3    4    4    4    4
#>   [471,]    1    1    1    1    2    3    3    3    3
#>   [472,]    1    2    1    2    1    3    4    3    5
#>   [473,]    1    2    3    4    2    5    6    5    5
#>   [474,]    1    2    3    4    4    5    5    6    7
#>   [475,]    1    2    3    1    1    4    4    4    5
#>   [476,]    1    2    3    2    2    4    4    4    5
#>   [477,]    1    1    1    1    1    2    3    3    3
#>   [478,]    1    2    2    1    2    3    3    3    3
#>   [479,]    1    1    1    1    1    2    3    2    4
#>   [480,]    1    1    1    1    1    2    3    4    3
#>   [481,]    1    1    1    1    1    2    2    2    2
#>   [482,]    1    1    1    1    1    2    2    2    2
#>   [483,]    1    2    2    2    2    3    3    4    3
#>   [484,]    1    1    1    1    1    2    2    3    2
#>   [485,]    1    1    1    1    1    2    2    2    2
#>   [486,]    1    1    1    1    1    2    2    2    2
#>   [487,]    1    1    1    1    1    2    2    2    2
#>   [488,]    1    1    1    1    2    3    3    3    3
#>   [489,]    1    1    1    2    1    3    3    3    3
#>   [490,]    1    2    1    3    3    4    4    5    4
#>   [491,]    1    2    2    2    2    3    3    3    3
#>   [492,]    1    1    1    1    1    2    2    2    3
#>   [493,]    1    2    1    2    1    3    3    4    5
#>   [494,]    1    2    2    1    1    3    4    3    4
#>   [495,]    1    2    3    3    1    4    4    4    5
#>   [496,]    1    2    3    2    2    4    5    5    5
#>   [497,]    1    2    2    2    2    3    4    3    3
#>   [498,]    1    1    1    2    2    3    3    4    3
#>   [499,]    1    1    1    1    2    3    4    5    3
#>   [500,]    1    2    3    4    5    6    7    8    9
#>   [501,]    1    2    3    4    5    6    7    8    9
#>   [502,]    1    2    2    3    4    5    6    7    6
#>   [503,]    1    2    3    1    4    5    6    6    6
#>   [504,]    1    1    2    3    3    4    5    5    5
#>   [505,]    1    2    2    3    4    5    6    6    6
#>   [506,]    1    1    1    1    1    2    2    3    2
#>   [507,]    1    1    1    1    1    2    3    4    5
#>   [508,]    1    2    3    4    3    5    6    6    6
#>   [509,]    1    2    2    3    4    5    5    5    6
#>   [510,]    1    1    2    2    2    3    4    5    6
#>   [511,]    1    1    2    2    1    3    4    4    4
#>   [512,]    1    2    2    2    2    3    3    3    3
#>   [513,]    1    2    2    2    2    3    3    3    3
#>   [514,]    1    2    3    1    4    5    5    5    5
#>   [515,]    1    1    2    2    3    4    4    4    4
#>   [516,]    1    2    1    3    4    5    6    5    6
#>   [517,]    1    1    1    2    1    3    4    5    3
#>   [518,]    1    1    1    2    1    3    4    4    4
#>   [519,]    1    1    2    2    3    4    5    5    6
#>   [520,]    1    2    1    3    2    4    5    6    7
#>   [521,]    1    2    3    2    1    4    4    4    4
#>   [522,]    1    1    2    1    1    3    3    4    3
#>   [523,]    1    1    2    2    1    3    3    3    3
#>   [524,]    1    2    2    1    2    3    3    3    3
#>   [525,]    1    2    3    1    1    4    5    5    5
#>   [526,]    1    1    1    1    1    2    2    2    2
#>   [527,]    1    2    1    1    1    3    3    3    3
#>   [528,]    1    2    2    2    2    3    3    3    3
#>   [529,]    1    1    1    1    1    2    2    2    2
#>   [530,]    1    1    1    2    1    3    3    3    3
#>   [531,]    1    1    1    2    1    3    4    3    3
#>   [532,]    1    1    2    1    1    3    4    4    5
#>   [533,]    1    2    3    4    5    6    7    8    9
#>   [534,]    1    2    3    3    1    4    5    4    6
#>   [535,]    1    2    3    1    1    4    4    5    6
#>   [536,]    1    2    3    4    1    5    5    6    7
#>   [537,]    1    2    3    1    2    4    5    6    6
#>   [538,]    1    2    3    4    5    6    7    7    7
#>   [539,]    1    2    3    4    5    6    6    6    7
#>   [540,]    1    1    2    3    4    5    6    7    7
#>   [541,]    1    2    3    4    4    5    6    6    7
#>   [542,]    1    2    3    3    2    4    4    5    5
#>   [543,]    1    1    1    2    3    4    5    5    4
#>   [544,]    1    1    2    1    1    3    4    5    6
#>   [545,]    1    2    3    3    3    4    5    5    6
#>   [546,]    1    2    2    2    2    3    4    5    6
#>   [547,]    1    1    2    2    2    3    4    4    3
#>   [548,]    1    1    1    1    2    3    3    3    3
#>   [549,]    1    1    2    2    3    4    5    4    5
#>   [550,]    1    2    2    2    2    3    4    4    4
#>   [551,]    1    1    1    1    1    2    3    3    3
#>   [552,]    1    1    1    1    1    2    2    2    2
#>   [553,]    1    1    1    1    1    2    2    2    2
#>   [554,]    1    1    1    1    1    2    2    2    2
#>   [555,]    1    2    2    1    1    3    4    4    4
#>   [556,]    1    2    2    2    1    3    4    4    4
#>   [557,]    1    2    3    4    4    5    6    6    5
#>   [558,]    1    2    1    3    4    5    5    5    6
#>   [559,]    1    2    3    3    4    5    6    6    7
#>   [560,]    1    2    1    1    1    3    4    5    6
#>   [561,]    1    1    2    1    1    3    4    5    5
#>   [562,]    1    1    2    3    1    4    5    4    4
#>   [563,]    1    2    3    2    4    5    5    6    5
#>   [564,]    1    2    3    1    2    4    5    4    4
#>   [565,]    1    2    1    1    1    3    3    4    3
#>   [566,]    1    2    1    1    1    3    3    3    3
#>   [567,]    1    2    3    2    4    5    6    6    7
#>   [568,]    1    2    3    2    4    5    5    6    7
#>   [569,]    1    1    2    3    4    5    5    5    6
#>   [570,]    1    2    3    3    4    5    5    6    5
#>   [571,]    1    2    1    2    3    4    5    6    7
#>   [572,]    1    2    3    4    4    5    6    5    7
#>   [573,]    1    2    2    3    4    5    6    7    8
#>   [574,]    1    2    3    4    5    6    7    8    9
#>   [575,]    1    2    3    4    5    6    7    7    8
#>   [576,]    1    2    3    4    5    6    6    6    7
#>   [577,]    1    2    3    4    2    5    5    6    7
#>   [578,]    1    2    3    4    2    5    6    7    8
#>   [579,]    1    2    2    3    4    5    6    7    8
#>   [580,]    1    2    3    4    5    6    7    8    8
#>   [581,]    1    2    3    4    5    6    7    8    9
#>   [582,]    1    2    3    4    4    5    6    7    8
#>   [583,]    1    2    3    1    3    4    5    6    7
#>   [584,]    1    2    3    4    5    6    7    8    8
#>   [585,]    1    1    2    3    4    5    6    6    6
#>   [586,]    1    1    2    3    2    4    5    5    5
#>   [587,]    1    1    2    2    3    4    4    5    5
#>   [588,]    1    2    2    3    2    4    5    4    4
#>   [589,]    1    2    1    1    3    4    4    4    4
#>   [590,]    1    1    1    1    1    2    3    2    3
#>   [591,]    1    1    1    1    1    2    2    2    3
#>   [592,]    1    1    1    1    2    3    3    3    4
#>   [593,]    1    1    1    1    1    2    3    3    3
#>   [594,]    1    2    3    2    3    4    4    4    4
#>   [595,]    1    2    1    3    3    4    4    4    4
#>   [596,]    1    2    3    1    2    4    5    4    4
#>   [597,]    1    2    2    2    3    4    5    5    5
#>   [598,]    1    1    1    1    1    2    2    2    2
#>   [599,]    1    1    1    1    1    2    2    2    3
#>   [600,]    1    1    1    1    1    2    2    2    2
#>   [601,]    1    1    1    1    1    2    2    2    3
#>   [602,]    1    1    1    1    1    2    3    4    3
#>   [603,]    1    1    1    1    2    3    3    3    3
#>   [604,]    1    1    1    1    1    2    2    2    2
#>   [605,]    1    1    1    1    1    2    2    2    2
#>   [606,]    1    2    3    2    1    4    4    4    4
#>   [607,]    1    1    2    3    4    5    6    6    6
#>   [608,]    1    2    3    4    5    6    7    8    9
#>   [609,]    1    2    3    4    5    6    7    8    8
#>   [610,]    1    2    1    3    4    5    6    7    7
#>   [611,]    1    2    2    3    2    4    5    5    6
#>   [612,]    1    2    1    2    2    3    4    4    4
#>   [613,]    1    1    2    1    1    3    4    4    5
#>   [614,]    1    2    2    2    3    4    5    6    5
#>   [615,]    1    1    1    2    2    3    3    4    3
#>   [616,]    1    1    1    1    1    2    2    3    4
#>   [617,]    1    1    1    1    1    2    3    3    3
#>   [618,]    1    1    1    1    1    2    3    3    3
#>   [619,]    1    1    1    1    1    2    3    3    3
#>   [620,]    1    1    1    1    1    2    2    2    2
#>   [621,]    1    1    1    2    1    3    3    3    3
#>   [622,]    1    1    1    1    1    2    2    2    2
#>   [623,]    1    1    1    1    1    2    2    2    2
#>   [624,]    1    1    1    1    2    3    4    4    4
#>   [625,]    1    1    2    3    2    4    4    4    4
#>   [626,]    1    2    3    1    4    5    6    6    7
#>   [627,]    1    2    3    4    3    5    6    6    7
#>   [628,]    1    2    3    4    5    6    7    8    9
#>   [629,]    1    2    3    4    3    5    6    7    8
#>   [630,]    1    2    3    4    5    6    7    6    8
#>   [631,]    1    2    3    2    4    5    6    6    7
#>   [632,]    1    1    2    1    3    4    4    5    4
#>   [633,]    1    2    3    1    4    5    6    7    8
#>   [634,]    1    2    3    4    4    5    6    6    7
#>   [635,]    1    2    3    4    1    5    6    6    7
#>   [636,]    1    2    2    1    3    4    4    5    6
#>   [637,]    1    1    2    3    3    4    5    6    7
#>   [638,]    1    2    3    2    1    4    5    6    7
#>   [639,]    1    1    2    2    2    3    4    5    6
#>   [640,]    1    2    2    2    3    4    5    6    7
#>   [641,]    1    1    1    1    1    2    3    4    5
#>   [642,]    1    1    1    2    2    3    4    4    4
#>   [643,]    1    1    1    2    3    4    5    5    5
#>   [644,]    1    1    2    3    2    4    4    4    4
#>   [645,]    1    1    2    2    2    3    3    4    3
#>   [646,]    1    1    1    1    1    2    3    4    3
#>   [647,]    1    2    1    3    4    5    6    6    6
#>   [648,]    1    1    1    1    2    3    4    4    4
#>   [649,]    1    1    1    1    1    2    3    2    2
#>   [650,]    1    1    1    1    2    3    3    3    3
#>   [651,]    1    2    2    3    3    4    4    4    4
#>   [652,]    1    2    1    1    1    3    4    3    5
#>   [653,]    1    1    1    1    1    2    3    3    3
#>   [654,]    1    1    1    1    1    2    2    2    2
#>   [655,]    1    2    2    2    2    3    4    3    4
#>   [656,]    1    1    2    1    3    4    4    4    4
#>   [657,]    1    2    3    2    4    5    6    7    8
#>   [658,]    1    1    2    3    3    4    5    4    6
#>   [659,]    1    2    3    1    1    4    4    4    4
#>   [660,]    1    2    3    2    4    5    5    6    5
#>   [661,]    1    1    2    3    4    5    5    6    5
#>   [662,]    1    2    2    2    3    4    5    5    6
#>   [663,]    1    2    3    4    5    6    6    6    7
#>   [664,]    1    2    3    3    3    4    4    5    4
#>   [665,]    1    2    2    3    2    4    4    4    5
#>   [666,]    1    1    2    3    3    4    4    5    6
#>   [667,]    1    2    3    4    4    5    6    6    7
#>   [668,]    1    2    3    4    4    5    6    7    8
#>   [669,]    1    1    2    1    1    3    4    5    6
#>   [670,]    1    2    3    4    5    6    7    8    9
#>   [671,]    1    2    3    4    5    6    7    8    9
#>   [672,]    1    1    2    1    3    4    4    5    6
#>   [673,]    1    2    3    4    3    5    6    6    7
#>   [674,]    1    1    2    3    4    5    5    6    7
#>   [675,]    1    2    2    3    1    4    5    6    5
#>   [676,]    1    2    3    4    3    5    6    7    8
#>   [677,]    1    2    3    4    5    6    7    8    8
#>   [678,]    1    2    3    2    4    5    6    6    7
#>   [679,]    1    2    3    3    4    5    6    7    8
#>   [680,]    1    2    3    4    5    6    7    6    6
#>   [681,]    1    2    3    4    3    5    6    6    7
#>   [682,]    1    1    1    1    1    2    3    3    3
#>   [683,]    1    1    2    2    1    3    3    4    4
#>   [684,]    1    2    1    3    1    4    5    6    6
#>   [685,]    1    1    2    2    1    3    3    4    5
#>   [686,]    1    2    3    2    4    5    6    6    7
#>   [687,]    1    2    3    4    5    6    7    7    8
#>   [688,]    1    1    2    3    4    5    6    6    7
#>   [689,]    1    2    2    3    1    4    4    4    5
#>   [690,]    1    2    2    3    4    5    6    7    8
#>   [691,]    1    2    3    4    5    6    7    7    8
#>   [692,]    1    2    3    4    5    6    7    8    9
#>   [693,]    1    2    3    4    5    6    7    8    9
#>   [694,]    1    2    2    2    2    3    4    5    6
#>   [695,]    1    2    2    2    2    3    4    5    6
#>   [696,]    1    1    1    2    1    3    4    5    6
#>   [697,]    1    2    3    4    5    6    7    8    9
#>   [698,]    1    1    1    1    2    3    4    5    6
#>   [699,]    1    1    2    3    4    5    5    6    7
#>   [700,]    1    2    3    1    3    4    5    5    6
#>   [701,]    1    2    1    3    2    4    4    5    5
#>   [702,]    1    2    3    4    2    5    5    5    6
#>   [703,]    1    2    3    3    3    4    4    5    6
#>   [704,]    1    2    2    2    2    3    4    5    6
#>   [705,]    1    2    2    2    3    4    5    6    7
#>   [706,]    1    2    2    3    4    5    6    7    6
#>   [707,]    1    1    2    1    1    3    3    4    4
#>   [708,]    1    1    1    1    1    2    3    3    4
#>   [709,]    1    1    2    1    1    3    4    4    5
#>   [710,]    1    1    1    1    1    2    3    4    3
#>   [711,]    1    2    1    2    1    3    3    4    5
#>   [712,]    1    2    1    2    2    3    4    5    5
#>   [713,]    1    2    1    3    1    4    5    5    6
#>   [714,]    1    1    2    3    3    4    5    5    5
#>   [715,]    1    1    2    2    3    4    5    5    6
#>   [716,]    1    2    1    3    4    5    6    7    7
#>   [717,]    1    2    3    3    4    5    6    6    6
#>   [718,]    1    2    3    3    4    5    5    5    5
#>   [719,]    1    2    2    1    1    3    4    5    3
#>   [720,]    1    1    2    2    2    3    4    5    4
#>   [721,]    1    2    2    2    3    4    5    6    5
#>   [722,]    1    2    3    4    3    5    5    5    6
#>   [723,]    1    2    1    1    2    3    4    5    4
#>   [724,]    1    2    3    4    1    5    6    7    7
#>   [725,]    1    2    3    2    2    4    5    5    5
#>   [726,]    1    2    3    4    3    5    6    7    7
#>   [727,]    1    2    2    3    3    4    5    6    6
#>   [728,]    1    1    2    1    2    3    4    4    4
#>   [729,]    1    2    2    2    3    4    5    5    5
#>   [730,]    1    1    1    1    1    2    3    2    2
#>   [731,]    1    2    1    1    1    3    4    4    4
#>   [732,]    1    2    2    1    1    3    3    3    3
#>   [733,]    1    1    1    2    1    3    4    3    4
#>   [734,]    1    2    1    1    1    3    3    3    3
#>   [735,]    1    1    1    1    1    2    2    2    2
#>   [736,]    1    1    1    1    1    2    2    2    2
#>   [737,]    1    1    1    1    1    2    3    3    3
#>   [738,]    1    1    1    1    1    2    2    2    2
#>   [739,]    1    2    2    3    2    4    5    6    5
#>   [740,]    1    2    2    3    4    5    6    6    6
#>   [741,]    1    2    3    4    5    6    7    6    7
#>   [742,]    1    2    3    2    4    5    6    6    7
#>   [743,]    1    2    3    4    3    5    6    7    8
#>   [744,]    1    2    3    4    5    6    7    8    9
#>   [745,]    1    2    3    4    5    6    7    8    7
#>   [746,]    1    2    3    4    5    6    7    8    9
#>   [747,]    1    2    1    3    4    5    5    6    7
#>   [748,]    1    2    2    3    4    5    5    6    7
#>   [749,]    1    1    1    2    3    4    5    6    6
#>   [750,]    1    2    3    2    2    4    5    6    7
#>   [751,]    1    1    2    3    1    4    5    6    7
#>   [752,]    1    2    1    1    3    4    4    4    5
#>   [753,]    1    1    1    2    1    3    4    5    5
#>   [754,]    1    1    2    1    2    3    3    3    3
#>   [755,]    1    2    3    4    2    5    5    5    5
#>   [756,]    1    1    2    1    3    4    5    4    6
#>   [757,]    1    1    2    3    1    4    5    6    5
#>   [758,]    1    1    2    2    2    3    4    4    4
#>   [759,]    1    1    2    2    3    4    4    4    4
#>   [760,]    1    2    3    2    2    4    4    4    4
#>   [761,]    1    2    2    2    2    3    4    5    5
#>   [762,]    1    2    1    2    1    3    4    5    6
#>   [763,]    1    1    1    1    1    2    3    4    3
#>   [764,]    1    2    2    2    2    3    4    5    5
#>   [765,]    1    1    2    3    4    5    6    7    8
#>   [766,]    1    2    3    4    4    5    6    7    7
#>   [767,]    1    2    3    4    5    6    7    7    7
#>   [768,]    1    2    1    3    4    5    5    5    5
#>   [769,]    1    1    2    1    2    3    3    3    3
#>   [770,]    1    1    2    1    1    3    3    3    3
#>   [771,]    1    1    1    1    1    2    2    2    2
#>   [772,]    1    1    1    1    1    2    2    3    2
#>   [773,]    1    1    1    2    2    3    4    3    3
#>   [774,]    1    2    3    3    3    4    4    4    4
#>   [775,]    1    2    1    2    2    3    3    3    3
#>   [776,]    1    2    3    2    3    4    4    5    4
#>   [777,]    1    2    3    4    3    5    5    6    5
#>   [778,]    1    1    2    3    4    5    6    6    7
#>   [779,]    1    1    2    3    4    5    5    5    5
#>   [780,]    1    2    3    4    2    5    5    6    5
#>   [781,]    1    2    3    4    5    6    7    7    7
#>   [782,]    1    2    3    4    5    6    6    6    7
#>   [783,]    1    2    1    3    4    5    6    7    7
#>   [784,]    1    2    1    3    4    5    6    6    6
#>   [785,]    1    2    3    4    2    5    5    5    5
#>   [786,]    1    2    3    4    2    5    6    7    6
#>   [787,]    1    2    1    3    4    5    5    6    6
#>   [788,]    1    1    1    2    2    3    4    4    4
#>   [789,]    1    2    2    1    1    3    4    4    4
#>   [790,]    1    2    3    4    4    5    6    5    5
#>   [791,]    1    1    2    3    2    4    5    4    4
#>   [792,]    1    2    3    4    5    6    7    8    7
#>   [793,]    1    2    3    4    5    6    6    7    6
#>   [794,]    1    1    2    3    4    5    6    7    8
#>   [795,]    1    2    1    3    1    4    5    5    6
#>   [796,]    1    1    2    3    3    4    4    4    5
#>   [797,]    1    2    3    1    1    4    5    4    5
#>   [798,]    1    2    3    4    5    6    7    8    9
#>   [799,]    1    2    3    4    5    6    7    8    9
#>   [800,]    1    1    2    3    4    5    6    7    8
#>   [801,]    1    2    3    2    4    5    6    6    7
#>   [802,]    1    2    1    3    1    4    5    5    6
#>   [803,]    1    1    1    2    3    4    5    4    5
#>   [804,]    1    1    2    3    3    4    5    6    7
#>   [805,]    1    1    2    3    4    5    6    7    6
#>   [806,]    1    1    2    1    3    4    4    4    5
#>   [807,]    1    2    3    4    5    6    7    8    9
#>   [808,]    1    1    2    1    3    4    5    6    6
#>   [809,]    1    1    1    1    1    2    2    3    2
#>   [810,]    1    2    2    2    2    3    4    4    4
#>   [811,]    1    2    3    4    4    5    5    5    5
#>   [812,]    1    1    2    1    3    4    4    4    4
#>   [813,]    1    2    1    1    2    3    3    3    4
#>   [814,]    1    1    1    2    2    3    4    5    5
#>   [815,]    1    2    1    2    3    4    4    4    5
#>   [816,]    1    2    3    3    4    5    6    7    6
#>   [817,]    1    2    3    4    2    5    6    7    8
#>   [818,]    1    1    2    3    1    4    5    6    7
#>   [819,]    1    1    2    3    4    5    6    7    8
#>   [820,]    1    2    3    4    2    5    6    7    7
#>   [821,]    1    1    2    2    3    4    5    5    6
#>   [822,]    1    2    3    3    4    5    5    6    7
#>   [823,]    1    2    1    3    4    5    6    7    8
#>   [824,]    1    2    3    4    5    6    7    8    9
#>   [825,]    1    2    2    2    3    4    5    6    7
#>   [826,]    1    1    1    1    1    2    3    4    4
#>   [827,]    1    1    1    1    1    2    3    4    5
#>   [828,]    1    1    1    1    1    2    3    3    3
#>   [829,]    1    1    1    1    2    3    4    4    4
#>   [830,]    1    1    1    1    1    2    2    3    2
#>   [831,]    1    1    1    1    1    2    3    2    3
#>   [832,]    1    1    1    1    1    2    2    2    2
#>   [833,]    1    1    1    1    1    2    2    2    2
#>   [834,]    1    1    1    1    1    2    2    2    2
#>   [835,]    1    1    1    1    1    2    3    2    2
#>   [836,]    1    1    1    1    2    3    3    4    3
#>   [837,]    1    1    1    1    1    2    3    2    2
#>   [838,]    1    2    2    2    2    3    4    4    4
#>   [839,]    1    1    2    2    2    3    4    4    4
#>   [840,]    1    2    1    1    1    3    3    3    3
#>   [841,]    1    2    3    3    3    4    4    4    4
#>   [842,]    1    2    2    2    2    3    4    3    4
#>   [843,]    1    1    1    1    2    3    3    3    3
#>   [844,]    1    1    1    2    1    3    4    5    6
#>   [845,]    1    1    1    2    3    4    4    5    5
#>   [846,]    1    2    2    3    4    5    6    6    6
#>   [847,]    1    1    2    3    3    4    5    6    7
#>   [848,]    1    2    3    1    4    5    6    7    8
#>   [849,]    1    2    3    4    5    6    7    8    9
#>   [850,]    1    2    3    4    4    5    6    7    8
#>   [851,]    1    2    1    1    1    3    4    5    6
#>   [852,]    1    2    1    1    1    3    4    5    3
#>   [853,]    1    2    1    1    1    3    4    5    6
#>   [854,]    1    2    2    1    3    4    5    5    5
#>   [855,]    1    2    3    2    2    4    4    4    4
#>   [856,]    1    2    3    4    4    5    6    7    6
#>   [857,]    1    2    1    3    4    5    6    6    6
#>   [858,]    1    2    3    2    2    4    5    5    5
#>   [859,]    1    2    3    4    3    5    5    5    5
#>   [860,]    1    2    3    4    5    6    6    7    7
#>   [861,]    1    2    3    4    5    6    7    8    9
#>   [862,]    1    2    3    4    5    6    7    6    8
#>   [863,]    1    2    2    3    4    5    6    7    8
#>   [864,]    1    2    2    1    1    3    4    4    5
#>   [865,]    1    2    3    3    4    5    5    5    5
#>   [866,]    1    1    1    1    1    2    3    3    4
#>   [867,]    1    1    1    1    1    2    3    4    4
#>   [868,]    1    1    1    1    1    2    3    3    3
#>   [869,]    1    1    1    1    2    3    4    4    3
#>   [870,]    1    1    1    1    1    2    3    3    3
#>   [871,]    1    1    1    1    1    2    2    2    2
#>   [872,]    1    1    1    1    1    1    2    2    2
#>   [873,]    1    1    2    1    1    3    4    3    3
#>   [874,]    1    1    2    3    1    4    5    5    5
#>   [875,]    1    2    3    4    3    5    5    5    5
#>   [876,]    1    2    2    3    3    4    5    6    5
#>   [877,]    1    1    2    2    3    4    4    4    5
#>   [878,]    1    2    3    3    4    5    6    7    8
#>   [879,]    1    2    3    4    5    6    7    8    9
#>   [880,]    1    2    3    4    5    6    7    8    9
#>   [881,]    1    2    3    4    2    5    5    6    7
#>   [882,]    1    2    2    3    3    4    5    5    6
#>   [883,]    1    1    2    3    2    4    4    4    5
#>   [884,]    1    2    3    2    4    5    6    7    8
#>   [885,]    1    1    2    3    4    5    6    7    8
#>   [886,]    1    2    3    1    3    4    5    6    7
#>   [887,]    1    2    3    4    3    5    6    6    7
#>   [888,]    1    2    3    4    5    6    6    6    6
#>   [889,]    1    2    3    3    3    4    4    4    4
#>   [890,]    1    2    2    2    2    3    3    4    4
#>   [891,]    1    2    3    2    2    4    4    5    5
#>   [892,]    1    1    1    1    1    2    2    3    3
#>   [893,]    1    1    1    1    1    2    3    2    3
#>   [894,]    1    1    1    1    1    2    3    4    3
#>   [895,]    1    1    1    1    2    3    3    4    4
#>   [896,]    1    1    1    1    1    2    3    2    2
#>   [897,]    1    1    1    1    1    2    3    2    2
#>   [898,]    1    1    1    1    2    3    3    3    3
#>   [899,]    1    1    1    1    1    2    2    2    2
#>   [900,]    1    2    2    1    1    3    4    4    4
#>   [901,]    1    2    2    1    3    4    5    5    5
#>   [902,]    1    1    1    2    1    3    4    4    4
#>   [903,]    1    2    3    4    4    5    5    6    5
#>   [904,]    1    1    1    1    2    3    4    3    4
#>   [905,]    1    1    1    1    1    2    2    3    3
#>   [906,]    1    1    2    3    1    4    5    4    4
#>   [907,]    1    1    2    2    2    3    4    4    5
#>   [908,]    1    2    2    2    2    3    3    4    4
#>   [909,]    1    1    1    1    1    2    3    3    3
#>   [910,]    1    1    1    1    1    2    2    2    2
#>   [911,]    1    1    1    1    1    2    3    3    2
#>   [912,]    1    1    1    1    1    2    3    4    4
#>   [913,]    1    1    1    1    2    3    3    3    3
#>   [914,]    1    2    1    1    3    4    5    6    5
#>   [915,]    1    2    3    4    1    5    5    5    5
#>   [916,]    1    1    2    3    1    4    4    5    4
#>   [917,]    1    2    3    2    2    4    5    4    4
#>   [918,]    1    2    2    2    1    3    3    3    4
#>   [919,]    1    1    2    3    4    5    6    7    5
#>   [920,]    1    1    2    3    1    4    5    6    7
#>   [921,]    1    1    1    2    1    3    3    4    3
#>   [922,]    1    2    2    2    2    3    4    5    3
#>   [923,]    1    2    1    3    1    3    4    4    4
#>   [924,]    1    1    1    2    3    4    5    6    4
#>   [925,]    1    1    2    1    3    4    4    5    6
#>   [926,]    1    2    2    2    2    3    4    4    3
#>   [927,]    1    1    1    2    1    3    3    3    4
#>   [928,]    1    2    2    2    2    3    4    5    4
#>   [929,]    1    2    2    2    2    3    4    5    5
#>   [930,]    1    1    2    2    2    3    4    3    4
#>   [931,]    1    2    3    3    3    4    4    5    5
#>   [932,]    1    1    1    1    1    2    3    3    3
#>   [933,]    1    1    1    1    1    2    2    2    2
#>   [934,]    1    1    2    1    1    3    3    3    3
#>   [935,]    1    1    2    1    1    3    3    4    4
#>   [936,]    1    2    2    2    2    3    4    4    4
#>   [937,]    1    1    1    1    1    2    2    2    2
#>   [938,]    1    1    1    1    1    2    3    2    3
#>   [939,]    1    1    1    2    2    3    3    3    3
#>   [940,]    1    1    1    1    1    2    2    2    2
#>   [941,]    1    1    1    1    1    2    2    2    2
#>   [942,]    1    1    1    1    1    2    2    2    2
#>   [943,]    1    1    1    1    1    2    2    2    2
#>   [944,]    1    2    1    3    2    4    4    4    4
#>   [945,]    1    2    2    2    2    3    4    4    3
#>   [946,]    1    1    2    1    3    4    5    5    5
#>   [947,]    1    2    2    3    4    5    6    6    7
#>   [948,]    1    1    1    1    1    2    3    3    3
#>   [949,]    1    1    1    1    1    2    3    4    5
#>   [950,]    1    2    2    2    1    3    4    4    3
#>   [951,]    1    2    2    3    2    4    5    6    4
#>   [952,]    1    1    2    3    2    4    5    5    5
#>   [953,]    1    1    2    1    2    3    4    4    4
#>   [954,]    1    1    1    2    1    3    3    3    3
#>   [955,]    1    1    1    2    2    3    3    3    3
#>   [956,]    1    1    2    2    2    3    3    3    3
#>   [957,]    1    1    1    1    1    2    2    2    2
#>   [958,]    1    1    1    1    1    2    2    2    2
#>   [959,]    1    2    1    1    1    3    3    3    4
#>   [960,]    1    2    2    2    2    3    3    3    3
#>   [961,]    1    2    1    1    3    4    4    4    4
#>   [962,]    1    2    1    1    1    3    3    3    3
#>   [963,]    1    1    1    1    1    2    2    2    2
#>   [964,]    1    1    1    1    1    2    2    3    2
#>   [965,]    1    1    1    1    1    2    3    4    4
#>   [966,]    1    1    1    1    1    2    3    4    3
#>   [967,]    1    1    1    1    1    2    3    4    3
#>   [968,]    1    2    1    1    3    4    4    4    5
#>   [969,]    1    2    2    1    1    3    4    5    6
#>   [970,]    1    2    3    4    5    6    7    8    9
#>   [971,]    1    2    3    1    3    4    5    5    6
#>   [972,]    1    2    2    2    2    3    3    4    3
#>   [973,]    1    1    2    3    3    4    5    5    6
#>   [974,]    1    2    3    2    3    4    5    6    6
#>   [975,]    1    2    1    3    1    4    5    6    7
#>   [976,]    1    1    1    2    1    3    4    5    6
#>   [977,]    1    1    1    1    1    2    3    4    4
#>   [978,]    1    1    1    1    1    2    3    3    4
#>   [979,]    1    2    3    4    4    5    6    7    6
#>   [980,]    1    1    2    1    1    3    3    3    4
#>   [981,]    1    1    2    1    1    3    4    5    6
#>   [982,]    1    2    2    2    3    4    5    4    6
#>   [983,]    1    2    2    1    1    3    4    4    4
#>   [984,]    1    2    3    1    1    4    5    5    5
#>   [985,]    1    2    3    3    4    5    5    5    5
#>   [986,]    1    1    2    1    1    3    3    3    3
#>   [987,]    1    2    2    2    2    3    4    4    4
#>   [988,]    1    2    1    2    2    3    3    4    5
#>   [989,]    1    2    1    1    2    3    4    3    5
#>   [990,]    1    2    3    4    5    6    7    6    8
#>   [991,]    1    2    3    1    1    4    5    6    7
#>   [992,]    1    1    1    2    2    3    4    3    5
#>   [993,]    1    1    1    2    1    3    3    4    3
#>   [994,]    1    1    2    2    2    3    4    4    4
#>   [995,]    1    1    1    1    1    2    3    3    3
#>   [996,]    1    1    1    1    2    3    3    3    3
#>   [997,]    1    1    1    1    1    2    2    2    2
#>   [998,]    1    1    1    1    1    2    2    2    2
#>   [999,]    1    1    1    1    1    2    2    2    2
#>  [1000,]    1    1    1    1    1    2    2    2    2
#>  [1001,]    1    1    1    1    1    2    3    3    3
#>  [1002,]    1    1    1    1    1    2    2    2    2
#>  [1003,]    1    2    2    3    2    4    5    4    5
#>  [1004,]    1    1    2    2    2    3    4    5    5
#>  [1005,]    1    2    3    2    2    4    5    5    5
#>  [1006,]    1    2    3    4    5    6    7    6    6
#>  [1007,]    1    1    2    3    3    4    5    6    7
#>  [1008,]    1    2    3    3    4    5    6    7    8
#>  [1009,]    1    2    3    4    1    5    6    5    6
#>  [1010,]    1    1    1    1    1    2    2    3    2
#>  [1011,]    1    1    2    2    2    3    4    4    4
#>  [1012,]    1    2    3    4    4    5    6    5    6
#>  [1013,]    1    2    1    3    4    5    6    7    7
#>  [1014,]    1    2    3    4    5    6    6    6    6
#>  [1015,]    1    1    2    3    2    4    5    5    5
#>  [1016,]    1    2    2    3    1    4    4    5    4
#>  [1017,]    1    2    2    2    2    3    4    4    4
#>  [1018,]    1    1    1    1    1    2    3    4    5
#>  [1019,]    1    2    3    4    1    5    6    5    5
#>  [1020,]    1    2    3    3    3    4    4    4    4
#>  [1021,]    1    2    3    4    4    5    6    6    7
#>  [1022,]    1    2    2    3    3    4    5    6    7
#>  [1023,]    1    2    3    4    4    5    5    6    7
#>  [1024,]    1    2    2    3    3    4    5    6    7
#>  [1025,]    1    1    2    1    1    3    4    4    3
#>  [1026,]    1    1    1    1    1    2    3    4    3
#>  [1027,]    1    1    1    1    1    2    3    2    3
#>  [1028,]    1    1    1    1    1    2    3    4    3
#>  [1029,]    1    1    2    1    1    3    3    4    4
#>  [1030,]    1    1    1    1    1    2    2    3    4
#>  [1031,]    1    2    2    2    1    3    3    3    3
#>  [1032,]    1    1    1    1    1    2    2    2    2
#>  [1033,]    1    1    1    1    1    2    2    2    2
#>  [1034,]    1    1    1    1    1    2    2    3    4
#>  [1035,]    1    1    1    1    2    3    4    5    5
#>  [1036,]    1    1    1    2    1    3    3    3    3
#>  [1037,]    1    1    1    1    1    2    2    2    2
#>  [1038,]    1    1    1    1    1    2    2    2    2
#>  [1039,]    1    2    2    3    2    4    4    4    4
#>  [1040,]    1    1    1    1    1    2    3    3    3
#>  [1041,]    1    1    2    2    3    4    5    5    6
#>  [1042,]    1    2    2    3    2    4    4    4    5
#>  [1043,]    1    2    3    4    5    6    7    8    8
#>  [1044,]    1    2    3    4    4    5    6    5    6
#>  [1045,]    1    2    2    3    4    5    6    6    7
#>  [1046,]    1    2    3    2    4    5    6    7    7
#>  [1047,]    1    2    3    4    5    6    7    7    8
#>  [1048,]    1    2    3    4    4    5    6    7    8
#>  [1049,]    1    1    2    3    4    5    5    6    6
#>  [1050,]    1    2    3    4    3    5    6    5    5
#>  [1051,]    1    2    3    1    1    4    5    4    4
#>  [1052,]    1    2    3    1    1    4    4    5    6
#>  [1053,]    1    2    2    2    1    3    4    3    5
#>  [1054,]    1    1    2    1    1    3    4    5    5
#>  [1055,]    1    1    1    2    3    4    4    5    5
#>  [1056,]    1    2    3    4    5    6    7    7    7
#>  [1057,]    1    2    3    4    5    6    7    8    9
#>  [1058,]    1    2    3    4    3    5    6    7    8
#>  [1059,]    1    2    3    3    4    5    6    7    6
#>  [1060,]    1    1    2    3    4    5    6    7    6
#>  [1061,]    1    2    3    4    4    5    6    7    6
#>  [1062,]    1    2    3    4    5    6    7    8    9
#>  [1063,]    1    2    3    4    5    6    7    8    8
#>  [1064,]    1    2    3    2    1    4    5    4    5
#>  [1065,]    1    2    3    4    5    6    6    7    8
#>  [1066,]    1    2    3    1    1    4    5    4    6
#>  [1067,]    1    2    1    1    3    4    4    4    5
#>  [1068,]    1    1    2    3    3    4    5    6    6
#>  [1069,]    1    2    3    4    5    6    7    8    6
#>  [1070,]    1    2    3    4    4    5    6    6    6
#>  [1071,]    1    2    3    3    3    4    5    5    6
#>  [1072,]    1    2    3    1    4    5    6    7    8
#>  [1073,]    1    2    3    3    4    5    6    7    6
#>  [1074,]    1    2    2    3    4    5    6    7    8
#>  [1075,]    1    2    1    2    3    4    4    4    5
#>  [1076,]    1    2    3    1    1    4    4    4    5
#>  [1077,]    1    1    2    3    2    4    5    4    4
#>  [1078,]    1    1    1    1    1    2    3    2    4
#>  [1079,]    1    1    1    1    1    2    3    3    4
#>  [1080,]    1    1    1    1    1    2    3    4    2
#>  [1081,]    1    1    1    1    1    2    2    2    2
#>  [1082,]    1    1    1    1    1    2    2    3    3
#>  [1083,]    1    2    3    1    3    4    5    5    4
#>  [1084,]    1    2    3    4    5    6    6    6    7
#>  [1085,]    1    2    3    4    5    6    7    8    7
#>  [1086,]    1    2    3    4    5    6    7    7    8
#>  [1087,]    1    2    2    2    3    4    5    6    5
#>  [1088,]    1    1    1    2    1    3    3    3    4
#>  [1089,]    1    1    1    1    2    3    4    3    5
#>  [1090,]    1    2    3    4    5    6    7    7    8
#>  [1091,]    1    2    3    4    5    6    7    8    9
#>  [1092,]    1    2    3    4    4    5    6    7    8
#>  [1093,]    1    2    2    2    2    3    3    4    5
#>  [1094,]    1    2    3    2    1    4    4    5    5
#>  [1095,]    1    2    3    4    2    5    6    6    5
#>  [1096,]    1    2    2    3    2    4    5    4    6
#>  [1097,]    1    2    3    4    4    5    6    6    7
#>  [1098,]    1    2    2    2    2    3    4    4    5
#>  [1099,]    1    2    2    3    2    4    5    5    5
#>  [1100,]    1    2    2    3    1    4    4    4    4
#>  [1101,]    1    1    1    1    2    3    3    3    3
#>  [1102,]    1    2    3    4    5    6    6    6    6
#>  [1103,]    1    2    2    3    2    4    4    4    4
#>  [1104,]    1    2    2    2    3    4    4    4    4
#>  [1105,]    1    2    2    1    2    3    4    5    5
#>  [1106,]    1    1    2    2    1    3    4    5    5
#>  [1107,]    1    1    1    2    1    3    4    5    4
#>  [1108,]    1    2    2    3    3    4    5    6    4
#>  [1109,]    1    1    2    1    3    4    5    6    7
#>  [1110,]    1    1    2    2    1    3    4    3    5
#>  [1111,]    1    1    1    1    2    3    4    5    6
#>  [1112,]    1    2    3    4    5    6    7    8    9
#>  [1113,]    1    2    3    4    5    6    7    8    9
#>  [1114,]    1    2    3    4    2    5    6    7    8
#>  [1115,]    1    2    2    2    2    3    4    4    4
#>  [1116,]    1    2    3    2    4    5    6    7    8
#>  [1117,]    1    2    3    4    4    5    6    7    8
#>  [1118,]    1    2    1    2    2    3    4    4    5
#>  [1119,]    1    2    2    3    4    5    6    7    8
#>  [1120,]    1    2    3    3    3    4    5    6    5
#>  [1121,]    1    2    2    1    1    3    4    3    3
#>  [1122,]    1    2    3    1    4    5    5    5    6
#>  [1123,]    1    2    3    4    2    5    6    6    6
#>  [1124,]    1    1    2    1    1    3    4    5    5
#>  [1125,]    1    2    3    4    1    5    5    6    7
#>  [1126,]    1    2    3    4    5    6    6    7    7
#>  [1127,]    1    2    3    1    4    5    6    6    6
#>  [1128,]    1    2    2    3    3    4    5    5    6
#>  [1129,]    1    2    3    4    3    5    6    7    6
#>  [1130,]    1    2    2    2    3    4    5    6    7
#>  [1131,]    1    1    1    2    2    3    4    4    4
#>  [1132,]    1    1    2    3    2    4    5    4    5
#>  [1133,]    1    1    2    1    3    4    5    6    6
#>  [1134,]    1    1    1    1    2    3    4    4    4
#>  [1135,]    1    1    2    2    3    4    5    6    6
#>  [1136,]    1    1    1    2    3    4    5    5    5
#>  [1137,]    1    1    1    1    2    3    3    3    3
#>  [1138,]    1    1    2    3    4    5    5    5    5
#>  [1139,]    1    1    1    1    1    2    2    3    4
#>  [1140,]    1    1    1    1    1    2    2    3    3
#>  [1141,]    1    1    1    1    1    2    3    4    3
#>  [1142,]    1    1    1    2    2    3    3    4    4
#>  [1143,]    1    2    2    3    2    4    5    4    4
#>  [1144,]    1    2    3    2    1    4    4    4    5
#>  [1145,]    1    1    1    1    1    2    2    2    2
#>  [1146,]    1    2    1    1    1    3    3    3    3
#>  [1147,]    1    2    3    2    1    4    4    4    4
#>  [1148,]    1    1    2    2    3    4    4    4    4
#>  [1149,]    1    2    3    4    5    5    6    6    6
#>  [1150,]    1    1    1    1    1    2    2    2    2
#>  [1151,]    1    1    1    1    1    2    3    3    3
#>  [1152,]    1    1    1    1    2    3    3    3    4
#>  [1153,]    1    1    1    1    2    3    4    5    5
#>  [1154,]    1    2    1    3    4    5    6    6    7
#>  [1155,]    1    2    1    1    3    4    5    5    6
#>  [1156,]    1    1    1    2    3    4    5    6    5
#>  [1157,]    1    2    3    4    5    6    7    7    7
#>  [1158,]    1    2    1    2    2    3    4    4    4
#>  [1159,]    1    2    2    2    2    3    4    5    4
#>  [1160,]    1    1    1    1    2    3    4    4    3
#>  [1161,]    1    1    1    1    2    3    3    4    5
#>  [1162,]    1    2    1    3    4    5    5    5    6
#>  [1163,]    1    2    1    3    2    4    5    6    5
#>  [1164,]    1    2    2    2    2    3    4    4    4
#>  [1165,]    1    1    1    1    1    2    2    2    2
#>  [1166,]    1    1    1    1    1    2    2    2    2
#>  [1167,]    1    1    1    1    2    3    3    3    3
#>  [1168,]    1    2    1    1    1    3    3    3    3
#>  [1169,]    1    2    2    2    3    4    4    4    4
#>  [1170,]    1    1    2    3    3    4    4    4    5
#>  [1171,]    1    1    1    1    1    2    3    3    3
#>  [1172,]    1    2    2    2    1    3    4    4    4
#>  [1173,]    1    1    1    1    1    2    3    3    3
#>  [1174,]    1    1    1    1    1    2    2    2    2
#>  [1175,]    1    1    1    2    3    4    4    4    4
#>  [1176,]    1    2    2    1    1    3    3    3    3
#>  [1177,]    1    2    2    2    2    3    3    3    3
#>  [1178,]    1    2    1    3    4    5    6    7    8
#>  [1179,]    1    1    2    1    2    3    4    5    6
#>  [1180,]    1    1    2    1    3    4    5    5    6
#>  [1181,]    1    2    3    4    2    5    6    7    7
#>  [1182,]    1    2    3    3    3    4    5    4    6
#>  [1183,]    1    2    2    1    3    4    5    6    7
#>  [1184,]    1    1    2    3    4    5    5    5    5
#>  [1185,]    1    1    1    1    1    2    3    3    3
#>  [1186,]    1    1    1    2    1    3    4    5    5
#>  [1187,]    1    1    2    3    2    4    5    5    5
#>  [1188,]    1    2    2    3    4    5    5    5    5
#>  [1189,]    1    1    2    1    1    3    3    3    3
#>  [1190,]    1    1    1    1    1    2    3    4    3
#>  [1191,]    1    1    1    1    1    2    3    3    3
#>  [1192,]    1    2    2    1    2    3    4    3    4
#>  [1193,]    1    1    2    3    1    2    4    5    6
#>  [1194,]    1    1    2    3    4    5    6    7    8
#>  [1195,]    1    2    3    3    3    4    5    5    6
#>  [1196,]    1    2    2    2    2    3    4    3    5
#>  [1197,]    1    2    2    3    1    4    5    5    5
#>  [1198,]    1    2    3    3    3    4    5    6    5
#>  [1199,]    1    2    2    3    2    4    4    5    6
#>  [1200,]    1    1    1    2    1    3    4    5    6
#>  [1201,]    1    1    1    1    2    3    3    3    3
#>  [1202,]    1    2    3    1    1    4    5    5    5
#>  [1203,]    1    2    2    3    2    4    5    6    7
#>  [1204,]    1    2    3    3    4    5    6    7    8
#>  [1205,]    1    2    3    4    5    6    7    8    9
#>  [1206,]    1    2    3    4    5    6    7    8    9
#>  [1207,]    1    1    2    3    4    5    6    7    8
#>  [1208,]    1    1    2    3    4    5    6    7    7
#>  [1209,]    1    2    1    2    3    4    4    4    4
#>  [1210,]    1    2    1    1    3    4    4    4    4
#>  [1211,]    1    2    1    2    1    3    3    3    3
#>  [1212,]    1    1    1    2    3    4    4    4    4
#>  [1213,]    1    1    2    1    1    3    3    4    3
#>  [1214,]    1    1    1    1    1    2    3    2    2
#>  [1215,]    1    1    1    1    1    2    3    2    3
#>  [1216,]    1    2    1    1    1    3    4    4    4
#>  [1217,]    1    2    1    3    4    5    6    6    6
#>  [1218,]    1    1    1    2    3    4    5    6    5
#>  [1219,]    1    2    3    2    2    4    5    6    4
#>  [1220,]    1    1    2    3    1    4    5    6    7
#>  [1221,]    1    2    2    3    4    5    5    6    7
#>  [1222,]    1    1    2    3    1    4    5    4    4
#>  [1223,]    1    1    1    1    1    2    3    3    3
#>  [1224,]    1    2    2    3    4    5    6    6    6
#>  [1225,]    1    2    3    2    3    4    5    6    6
#>  [1226,]    1    1    1    1    2    3    3    4    5
#>  [1227,]    1    1    2    3    1    4    5    5    6
#>  [1228,]    1    2    3    4    5    6    6    6    6
#>  [1229,]    1    2    3    3    4    5    5    6    5
#>  [1230,]    1    2    3    3    3    4    5    6    7
#>  [1231,]    1    2    2    3    2    4    5    5    6
#>  [1232,]    1    1    1    1    1    2    3    4    2
#>  [1233,]    1    2    1    3    2    4    5    6    7
#>  [1234,]    1    1    2    3    4    5    5    6    7
#>  [1235,]    1    2    2    3    3    4    5    6    7
#>  [1236,]    1    1    1    2    2    3    4    5    4
#>  [1237,]    1    2    3    4    5    6    7    7    7
#>  [1238,]    1    2    3    3    4    5    6    7    7
#>  [1239,]    1    2    2    3    4    5    6    6    5
#>  [1240,]    1    2    3    4    4    5    5    5    6
#>  [1241,]    1    2    2    3    4    5    5    5    5
#>  [1242,]    1    2    3    1    3    4    4    5    4
#>  [1243,]    1    2    2    2    2    3    4    4    4
#>  [1244,]    1    2    1    2    1    3    4    5    6
#>  [1245,]    1    1    1    1    2    3    4    5    6
#>  [1246,]    1    1    1    2    3    4    5    6    5
#>  [1247,]    1    2    3    4    1    5    6    7    8
#>  [1248,]    1    1    2    1    3    4    5    6    6
#>  [1249,]    1    1    1    2    3    4    4    4    5
#>  [1250,]    1    2    3    4    3    5    6    6    7
#>  [1251,]    1    2    3    4    4    5    5    6    7
#>  [1252,]    1    2    3    1    4    5    5    6    6
#>  [1253,]    1    1    1    1    1    2    3    4    5
#>  [1254,]    1    1    1    2    1    3    3    3    3
#>  [1255,]    1    1    1    1    1    2    2    2    2
#>  [1256,]    1    1    1    1    2    3    4    3    5
#>  [1257,]    1    2    1    3    4    5    6    5    7
#>  [1258,]    1    2    2    3    4    5    6    7    7
#>  [1259,]    1    2    3    2    3    4    5    5    6
#>  [1260,]    1    2    3    2    4    5    5    5    6
#>  [1261,]    1    2    2    1    2    3    3    4    5
#>  [1262,]    1    1    1    2    2    3    4    5    5
#>  [1263,]    1    1    1    2    1    3    4    3    3
#>  [1264,]    1    2    2    3    3    4    4    4    5
#>  [1265,]    1    2    3    3    4    5    6    6    7
#>  [1266,]    1    2    3    3    4    5    6    5    6
#>  [1267,]    1    2    3    4    5    6    6    6    6
#>  [1268,]    1    2    3    2    2    4    4    5    6
#>  [1269,]    1    2    3    2    2    4    5    5    6
#>  [1270,]    1    1    2    1    2    3    4    5    4
#>  [1271,]    1    2    1    3    2    4    5    6    4
#>  [1272,]    1    2    1    1    3    4    5    4    4
#>  [1273,]    1    2    3    4    2    5    6    6    6
#>  [1274,]    1    1    2    3    4    5    6    6    7
#>  [1275,]    1    2    3    4    5    6    7    8    9
#>  [1276,]    1    2    3    4    2    5    6    6    7
#>  [1277,]    1    1    1    2    3    4    5    4    6
#>  [1278,]    1    1    2    3    1    4    5    5    6
#>  [1279,]    1    2    1    1    2    3    3    3    4
#>  [1280,]    1    2    1    3    3    4    4    5    4
#>  [1281,]    1    2    2    2    2    3    4    4    4
#>  [1282,]    1    2    1    3    3    4    5    5    5
#>  [1283,]    1    1    2    3    3    4    4    4    4
#>  [1284,]    1    2    1    1    1    3    4    3    3
#>  [1285,]    1    1    1    1    1    2    2    2    2
#>  [1286,]    1    1    1    1    1    2    2    2    2
#>  [1287,]    1    1    1    1    2    3    4    3    3
#>  [1288,]    1    1    2    1    1    3    3    4    5
#>  [1289,]    1    2    2    3    4    5    6    7    7
#>  [1290,]    1    1    1    1    2    3    3    3    3
#>  [1291,]    1    1    1    2    3    4    4    4    4
#>  [1292,]    1    1    2    1    1    3    3    3    3
#>  [1293,]    1    1    1    2    1    3    4    4    4
#>  [1294,]    1    2    2    2    2    3    4    3    4
#>  [1295,]    1    2    3    4    1    5    5    6    7
#>  [1296,]    1    2    1    1    3    4    5    4    6
#>  [1297,]    1    2    3    4    3    5    5    5    5
#>  [1298,]    1    2    1    1    1    3    3    3    3
#>  [1299,]    1    2    2    1    1    3    4    5    6
#>  [1300,]    1    2    2    2    2    3    4    4    5
#>  [1301,]    1    1    1    1    1    2    3    4    5
#>  [1302,]    1    1    1    2    3    4    5    4    5
#>  [1303,]    1    1    2    2    3    4    4    4    4
#>  [1304,]    1    1    1    1    2    3    3    3    3
#>  [1305,]    1    2    1    1    2    3    4    5    4
#>  [1306,]    1    2    3    4    3    5    5    5    5
#>  [1307,]    1    2    3    1    4    5    5    5    6
#>  [1308,]    1    1    2    3    3    4    4    4    5
#>  [1309,]    1    1    1    2    3    4    5    6    5
#>  [1310,]    1    1    2    3    4    5    6    7    6
#>  [1311,]    1    2    3    2    4    5    6    7    6
#>  [1312,]    1    2    2    3    3    4    5    4    5
#>  [1313,]    1    2    3    2    1    4    4    5    5
#>  [1314,]    1    2    1    1    1    3    4    4    4
#>  [1315,]    1    1    2    2    1    3    4    5    4
#>  [1316,]    1    2    1    3    1    4    4    5    6
#>  [1317,]    1    1    2    3    4    5    6    6    7
#>  [1318,]    1    2    3    4    5    6    7    7    8
#>  [1319,]    1    2    3    1    2    4    5    5    5
#>  [1320,]    1    2    3    4    5    6    7    7    7
#>  [1321,]    1    2    3    2    4    5    5    6    7
#>  [1322,]    1    2    3    4    5    6    7    8    9
#>  [1323,]    1    2    3    4    5    6    6    7    8
#>  [1324,]    1    2    1    3    4    5    6    7    8
#>  [1325,]    1    2    2    3    2    4    5    6    5
#>  [1326,]    1    2    3    1    1    4    4    5    6
#>  [1327,]    1    2    3    4    5    6    7    6    8
#>  [1328,]    1    1    1    2    3    4    5    6    5
#>  [1329,]    1    1    1    1    1    2    3    3    3
#>  [1330,]    1    1    1    1    1    2    2    2    2
#>  [1331,]    1    1    1    1    1    2    2    2    2
#>  [1332,]    1    1    1    2    2    3    4    3    3
#>  [1333,]    1    1    2    2    2    3    3    3    3
#>  [1334,]    1    2    2    2    2    3    4    4    4
#>  [1335,]    1    2    2    2    2    3    4    5    5
#>  [1336,]    1    2    2    2    3    4    5    5    5
#>  [1337,]    1    2    3    2    4    5    6    7    5
#>  [1338,]    1    2    3    4    5    6    7    8    9
#>  [1339,]    1    2    3    4    3    5    6    7    8
#>  [1340,]    1    2    3    4    5    6    7    7    8
#>  [1341,]    1    2    3    4    2    5    5    5    5
#>  [1342,]    1    2    3    4    5    6    7    8    7
#>  [1343,]    1    2    3    3    2    4    5    5    5
#>  [1344,]    1    2    1    1    3    4    5    6    7
#>  [1345,]    1    2    1    2    1    3    4    5    4
#>  [1346,]    1    1    2    2    2    3    4    5    6
#>  [1347,]    1    1    1    2    3    4    5    6    5
#>  [1348,]    1    2    3    4    3    5    6    7    7
#>  [1349,]    1    2    3    2    2    4    5    4    6
#>  [1350,]    1    2    2    1    1    3    4    5    6
#>  [1351,]    1    1    1    2    1    3    4    4    5
#>  [1352,]    1    2    1    1    1    3    4    4    4
#>  [1353,]    1    1    1    1    1    2    2    2    2
#>  [1354,]    1    1    1    1    1    2    2    2    2
#>  [1355,]    1    1    1    1    1    2    2    2    2
#>  [1356,]    1    2    3    3    3    4    4    5    4
#>  [1357,]    1    2    3    4    3    5    6    6    5
#>  [1358,]    1    2    3    3    3    4    5    4    5
#>  [1359,]    1    2    2    3    2    4    4    4    4
#>  [1360,]    1    2    2    2    1    3    3    3    4
#>  [1361,]    1    1    1    2    1    3    4    5    3
#>  [1362,]    1    2    1    3    2    4    5    6    7
#>  [1363,]    1    2    3    2    3    4    5    5    5
#>  [1364,]    1    2    1    3    2    4    5    6    6
#>  [1365,]    1    2    3    4    4    5    6    7    8
#>  [1366,]    1    2    3    1    3    4    5    6    7
#>  [1367,]    1    2    1    1    1    3    3    4    5
#>  [1368,]    1    2    1    3    1    4    5    4    4
#>  [1369,]    1    2    2    2    2    3    4    5    4
#>  [1370,]    1    1    2    1    2    3    3    3    3
#>  [1371,]    1    1    1    2    1    3    4    5    6
#>  [1372,]    1    1    2    3    2    4    5    6    7
#>  [1373,]    1    2    3    4    2    5    6    6    7
#>  [1374,]    1    1    2    2    3    4    5    5    6
#>  [1375,]    1    2    3    1    4    5    6    7    8
#>  [1376,]    1    2    3    4    2    5    6    7    7
#>  [1377,]    1    2    1    2    3    4    5    5    5
#>  [1378,]    1    1    2    3    2    4    5    4    4
#>  [1379,]    1    2    1    3    1    4    5    6    7
#>  [1380,]    1    2    3    4    3    5    5    6    7
#>  [1381,]    1    2    1    3    2    4    5    5    6
#>  [1382,]    1    2    3    1    2    4    5    6    6
#>  [1383,]    1    1    1    1    1    2    2    3    3
#>  [1384,]    1    2    1    1    1    3    4    4    4
#>  [1385,]    1    2    1    1    3    4    5    5    5
#>  [1386,]    1    2    3    4    2    5    5    5    6
#>  [1387,]    1    1    2    3    4    5    5    5    6
#>  [1388,]    1    1    1    1    1    2    3    4    5
#>  [1389,]    1    1    1    1    1    2    2    3    2
#>  [1390,]    1    1    1    2    1    3    4    3    3
#>  [1391,]    1    1    2    1    3    4    5    6    6
#>  [1392,]    1    2    2    2    2    3    4    5    6
#>  [1393,]    1    2    2    2    2    3    4    4    4
#>  [1394,]    1    2    3    4    2    5    6    6    6
#>  [1395,]    1    1    2    1    3    4    5    6    7
#>  [1396,]    1    1    2    3    4    5    6    6    6
#>  [1397,]    1    2    2    3    3    4    5    4    4
#>  [1398,]    1    2    2    3    2    4    5    5    6
#>  [1399,]    1    1    2    1    1    3    4    4    5
#>  [1400,]    1    1    2    2    3    4    4    4    5
#>  [1401,]    1    2    1    1    1    3    4    3    5
#>  [1402,]    1    1    1    1    1    2    3    3    4
#>  [1403,]    1    1    1    1    1    2    2    2    2
#>  [1404,]    1    1    2    1    3    4    4    4    4
#>  [1405,]    1    1    2    2    2    3    4    3    4
#>  [1406,]    1    1    1    1    2    3    3    3    3
#>  [1407,]    1    1    2    2    2    3    3    3    3
#>  [1408,]    1    1    2    1    1    3    3    3    3
#>  [1409,]    1    2    1    1    1    3    3    3    3
#>  [1410,]    1    1    1    1    1    2    2    2    2
#>  [1411,]    1    1    2    1    1    3    3    3    3
#>  [1412,]    1    1    1    1    1    2    2    2    2
#>  [1413,]    1    1    1    2    1    3    3    4    4
#>  [1414,]    1    2    3    2    1    4    5    5    5
#>  [1415,]    1    2    1    3    3    4    4    5    5
#>  [1416,]    1    2    1    1    1    3    4    4    5
#>  [1417,]    1    1    1    1    1    2    3    4    3
#>  [1418,]    1    2    2    2    2    3    3    4    3
#>  [1419,]    1    1    1    1    1    2    3    4    4
#>  [1420,]    1    1    1    1    1    2    2    3    3
#>  [1421,]    1    1    1    1    1    2    2    2    2
#>  [1422,]    1    2    2    2    2    3    4    4    4
#>  [1423,]    1    1    1    2    2    3    3    3    3
#>  [1424,]    1    1    2    1    1    3    4    5    5
#>  [1425,]    1    1    1    1    1    2    2    3    2
#>  [1426,]    1    1    1    1    1    2    3    2    4
#>  [1427,]    1    1    1    1    1    2    2    2    2
#>  [1428,]    1    1    1    1    1    2    2    2    2
#>  [1429,]    1    1    1    1    1    2    3    3    3
#>  [1430,]    1    2    1    1    1    3    3    3    4
#>  [1431,]    1    1    1    1    1    2    3    4    4
#>  [1432,]    1    1    1    1    1    2    2    3    4
#>  [1433,]    1    1    1    1    1    2    3    3    3
#>  [1434,]    1    1    1    1    2    3    4    4    4
#>  [1435,]    1    1    2    1    1    3    4    4    4
#>  [1436,]    1    2    3    4    4    5    6    6    6
#>  [1437,]    1    2    3    4    1    5    6    6    6
#>  [1438,]    1    1    2    3    3    4    4    4    5
#>  [1439,]    1    1    2    1    1    3    4    5    4
#>  [1440,]    1    2    2    3    4    5    6    6    5
#>  [1441,]    1    2    2    2    2    3    4    5    4
#>  [1442,]    1    2    2    1    1    3    3    3    3
#>  [1443,]    1    2    2    2    2    3    3    4    5
#>  [1444,]    1    2    3    4    3    5    5    6    7
#>  [1445,]    1    2    3    4    4    5    6    7    8
#>  [1446,]    1    1    2    1    1    3    4    5    3
#>  [1447,]    1    2    2    2    3    3    4    5    5
#>  [1448,]    1    2    3    3    4    5    6    5    7
#>  [1449,]    1    2    3    3    3    4    5    5    5
#>  [1450,]    1    2    2    2    2    3    4    4    5
#>  [1451,]    1    1    1    1    2    3    4    4    4
#>  [1452,]    1    2    1    2    1    3    4    4    4
#>  [1453,]    1    2    3    1    1    4    5    5    5
#>  [1454,]    1    2    1    3    4    5    6    7    7
#>  [1455,]    1    2    1    1    2    3    4    5    6
#>  [1456,]    1    1    1    1    1    2    3    3    3
#>  [1457,]    1    1    1    1    1    2    2    2    2
#>  [1458,]    1    1    1    2    2    3    4    4    4
#>  [1459,]    1    2    1    2    1    3    4    4    4
#>  [1460,]    1    2    2    2    1    3    3    3    4
#>  [1461,]    1    1    2    2    2    3    4    3    4
#>  [1462,]    1    2    1    2    2    3    3    3    4
#>  [1463,]    1    1    1    1    1    2    3    3    4
#>  [1464,]    1    2    3    3    3    4    5    5    6
#>  [1465,]    1    2    3    4    5    6    6    7    8
#>  [1466,]    1    2    3    4    5    6    7    8    9
#>  [1467,]    1    2    3    4    3    5    6    6    7
#>  [1468,]    1    2    1    3    4    5    5    5    6
#>  [1469,]    1    2    1    2    1    3    4    5    5
#>  [1470,]    1    1    2    1    3    4    5    4    5
#>  [1471,]    1    2    3    2    3    4    5    4    6
#>  [1472,]    1    1    1    1    1    2    3    2    4
#>  [1473,]    1    1    1    1    1    2    3    3    3
#>  [1474,]    1    2    3    2    4    5    6    7    6
#>  [1475,]    1    2    3    4    2    5    6    7    7
#>  [1476,]    1    2    3    4    3    5    5    5    5
#>  [1477,]    1    2    3    2    4    5    5    5    5
#>  [1478,]    1    2    3    1    1    4    5    6    5
#>  [1479,]    1    1    2    1    3    4    5    6    4
#>  [1480,]    1    2    1    3    4    5    5    6    5
#>  [1481,]    1    1    1    1    2    3    4    3    3
#>  [1482,]    1    2    3    4    2    5    5    5    6
#>  [1483,]    1    2    3    4    5    6    6    6    7
#>  [1484,]    1    2    3    4    5    6    7    7    8
#>  [1485,]    1    1    2    3    4    5    6    7    8
#>  [1486,]    1    1    2    2    3    4    5    6    7
#>  [1487,]    1    1    1    2    1    3    4    4    5
#>  [1488,]    1    2    2    1    2    3    4    5    4
#>  [1489,]    1    1    1    1    2    3    3    3    4
#>  [1490,]    1    2    1    2    1    3    3    3    4
#>  [1491,]    1    1    1    1    1    2    3    2    4
#>  [1492,]    1    2    2    2    2    3    4    5    6
#>  [1493,]    1    2    2    2    3    4    5    6    5
#>  [1494,]    1    1    2    1    2    3    4    5    5
#>  [1495,]    1    2    2    3    2    4    5    6    6
#>  [1496,]    1    2    2    2    2    3    4    5    6
#>  [1497,]    1    2    2    2    2    3    3    4    4
#>  [1498,]    1    2    1    1    2    3    4    5    5
#>  [1499,]    1    1    2    2    1    3    4    4    4
#>  [1500,]    1    2    1    3    4    5    5    5    5
#>  [1501,]    1    2    2    1    3    4    5    6    7
#>  [1502,]    1    1    2    3    1    4    5    6    5
#>  [1503,]    1    1    2    1    1    3    3    3    3
#>  [1504,]    1    1    2    2    3    4    5    5    5
#>  [1505,]    1    2    2    2    2    3    3    3    4
#>  [1506,]    1    2    3    4    5    6    7    6    7
#>  [1507,]    1    1    2    3    4    5    6    7    8
#>  [1508,]    1    2    1    3    4    5    6    7    5
#>  [1509,]    1    2    3    3    4    5    6    5    7
#>  [1510,]    1    2    1    2    1    3    4    4    4
#>  [1511,]    1    2    2    3    1    4    5    4    5
#>  [1512,]    1    1    1    2    3    4    5    6    6
#>  [1513,]    1    2    3    1    3    4    5    6    6
#>  [1514,]    1    1    2    1    3    4    5    6    7
#>  [1515,]    1    2    3    4    4    5    6    7    6
#>  [1516,]    1    2    3    2    4    5    6    7    6
#>  [1517,]    1    2    3    4    2    5    5    6    6
#>  [1518,]    1    2    1    1    1    3    4    5    6
#>  [1519,]    1    1    2    2    1    3    3    3    4
#>  [1520,]    1    1    2    3    2    4    5    6    6
#>  [1521,]    1    2    2    2    1    3    3    3    4
#>  [1522,]    1    2    2    2    2    3    3    3    4
#>  [1523,]    1    2    2    2    3    4    4    5    4
#>  [1524,]    1    1    1    1    1    2    3    3    3
#>  [1525,]    1    1    1    1    1    2    3    3    4
#>  [1526,]    1    1    2    3    3    4    4    5    6
#>  [1527,]    1    2    3    4    4    5    6    7    8
#>  [1528,]    1    2    3    2    4    5    6    7    5
#>  [1529,]    1    2    3    1    1    4    5    6    6
#>  [1530,]    1    2    3    1    4    5    6    6    7
#>  [1531,]    1    2    3    1    1    4    5    6    7
#>  [1532,]    1    1    2    2    2    3    4    5    6
#>  [1533,]    1    2    1    2    3    4    5    6    7
#>  [1534,]    1    2    3    4    5    6    7    8    9
#>  [1535,]    1    2    3    4    5    6    7    6    8
#>  [1536,]    1    2    3    4    5    6    7    8    6
#>  [1537,]    1    2    3    4    5    6    7    8    9
#>  [1538,]    1    2    1    3    3    4    5    6    7
#>  [1539,]    1    2    2    2    2    3    4    5    4
#>  [1540,]    1    2    2    2    2    3    4    5    6
#>  [1541,]    1    1    2    3    1    4    5    6    5
#>  [1542,]    1    2    3    4    5    6    7    8    9
#>  [1543,]    1    2    3    4    5    6    7    8    9
#>  [1544,]    1    2    3    4    5    6    7    8    9
#>  [1545,]    1    2    1    3    4    5    6    7    8
#>  [1546,]    1    2    2    3    2    4    5    6    7
#>  [1547,]    1    2    2    1    1    3    4    5    6
#>  [1548,]    1    2    3    4    5    6    7    8    9
#>  [1549,]    1    2    3    4    5    6    7    7    8
#>  [1550,]    1    2    3    3    4    5    6    7    6
#>  [1551,]    1    1    1    1    2    3    4    5    6
#>  [1552,]    1    2    3    2    4    5    6    6    5
#>  [1553,]    1    1    1    2    1    3    4    5    6
#>  [1554,]    1    2    1    3    3    4    5    6    6
#>  [1555,]    1    1    2    2    3    4    4    4    4
#>  [1556,]    1    2    2    2    3    4    4    4    4
#>  [1557,]    1    1    2    2    2    3    3    4    3
#>  [1558,]    1    2    2    2    2    3    3    4    3
#>  [1559,]    1    1    1    2    1    3    4    4    4
#>  [1560,]    1    1    1    1    1    2    3    4    4
#>  [1561,]    1    1    1    1    1    2    3    4    2
#>  [1562,]    1    2    3    4    4    5    6    6    6
#>  [1563,]    1    1    1    1    1    2    2    2    3
#>  [1564,]    1    2    3    4    5    6    7    8    9
#>  [1565,]    1    2    3    4    5    6    7    8    9
#>  [1566,]    1    2    3    3    3    4    5    6    5
#>  [1567,]    1    2    3    3    4    5    5    5    5
#>  [1568,]    1    1    1    2    3    4    4    5    5
#>  [1569,]    1    2    3    4    5    6    7    8    8
#>  [1570,]    1    2    3    4    2    5    6    5    7
#>  [1571,]    1    2    3    1    1    4    4    4    4
#>  [1572,]    1    2    3    4    4    5    6    5    5
#>  [1573,]    1    2    3    4    5    6    7    8    9
#>  [1574,]    1    2    3    3    4    5    6    7    8
#>  [1575,]    1    2    3    3    4    5    6    5    7
#>  [1576,]    1    2    3    4    5    6    7    7    8
#>  [1577,]    1    1    1    2    1    3    4    5    5
#>  [1578,]    1    2    3    4    5    6    7    8    9
#>  [1579,]    1    2    2    2    3    4    5    6    7
#>  [1580,]    1    2    3    4    5    6    7    7    8
#>  [1581,]    1    2    3    4    5    6    6    7    8
#>  [1582,]    1    2    3    4    5    6    7    8    9
#>  [1583,]    1    2    3    4    5    6    7    8    9
#>  [1584,]    1    2    3    4    5    6    7    8    9
#>  [1585,]    1    1    2    3    4    5    6    7    7
#>  [1586,]    1    2    3    4    3    5    6    7    6
#>  [1587,]    1    2    1    1    1    3    4    5    5
#>  [1588,]    1    1    2    2    2    3    4    5    4
#>  [1589,]    1    1    1    1    1    2    3    4    5
#>  [1590,]    1    1    1    2    3    4    5    5    6
#>  [1591,]    1    1    1    1    1    2    2    2    3
#>  [1592,]    1    2    2    1    2    3    3    3    4
#>  [1593,]    1    2    2    2    1    3    3    3    3
#>  [1594,]    1    1    2    1    3    4    4    4    4
#>  [1595,]    1    1    1    1    1    2    2    2    2
#>  [1596,]    1    1    1    1    1    2    2    2    2
#>  [1597,]    1    1    1    1    1    2    2    2    3
#>  [1598,]    1    1    1    1    1    2    3    2    4
#>  [1599,]    1    1    1    1    1    2    2    3    2
#>  [1600,]    1    1    1    1    2    3    4    5    4
#>  [1601,]    1    2    3    4    3    5    6    7    8
#>  [1602,]    1    2    3    4    4    5    6    5    7
#>  [1603,]    1    2    2    2    2    3    3    4    4
#>  [1604,]    1    1    2    1    1    3    4    5    3
#>  [1605,]    1    1    2    1    1    3    3    4    5
#>  [1606,]    1    1    1    1    1    2    2    2    2
#>  [1607,]    1    1    1    1    1    2    3    3    3
#>  [1608,]    1    2    1    1    1    3    3    3    3
#>  [1609,]    1    2    2    2    1    3    3    3    3
#>  [1610,]    1    2    3    3    4    5    6    5    6
#>  [1611,]    1    2    2    3    4    5    5    6    6
#>  [1612,]    1    2    1    3    3    4    5    4    6
#>  [1613,]    1    2    3    4    3    5    6    7    8
#>  [1614,]    1    2    3    3    3    4    5    4    6
#>  [1615,]    1    1    2    2    3    4    5    4    6
#>  [1616,]    1    1    1    2    3    4    5    4    6
#>  [1617,]    1    1    1    1    2    3    3    3    4
#>  [1618,]    1    1    2    1    1    3    3    4    5
#>  [1619,]    1    2    2    1    1    3    4    4    4
#>  [1620,]    1    1    1    2    3    4    5    4    4
#>  [1621,]    1    2    3    3    1    4    5    4    4
#>  [1622,]    1    2    3    2    4    5    6    7    5
#>  [1623,]    1    2    3    4    2    5    6    5    6
#>  [1624,]    1    2    3    3    1    4    5    6    6
#>  [1625,]    1    2    3    4    5    6    7    8    8
#>  [1626,]    1    2    3    4    5    6    7    8    6
#>  [1627,]    1    2    3    2    4    5    6    7    7
#>  [1628,]    1    1    2    3    4    5    6    6    6
#>  [1629,]    1    1    1    1    1    2    3    3    3
#>  [1630,]    1    1    2    1    2    3    3    4    4
#>  [1631,]    1    1    2    2    1    3    3    3    3
#>  [1632,]    1    1    1    1    1    2    3    3    4
#>  [1633,]    1    1    1    2    1    3    4    3    3
#>  [1634,]    1    2    2    2    2    3    3    3    3
#>  [1635,]    1    1    1    1    1    2    3    3    3
#>  [1636,]    1    1    1    1    1    2    2    2    2
#>  [1637,]    1    1    2    2    2    3    3    3    4
#>  [1638,]    1    2    2    2    2    3    3    4    5
#>  [1639,]    1    1    1    2    1    3    4    5    5
#>  [1640,]    1    1    2    2    2    3    4    3    5
#>  [1641,]    1    1    1    2    3    4    5    4    4
#>  [1642,]    1    2    3    1    2    4    5    4    5
#>  [1643,]    1    1    2    1    1    3    3    4    3
#>  [1644,]    1    2    2    2    2    3    4    5    4
#>  [1645,]    1    2    2    2    3    4    4    4    4
#>  [1646,]    1    2    2    2    2    3    3    3    4
#>  [1647,]    1    2    2    2    2    3    4    5    5
#>  [1648,]    1    1    1    2    1    3    3    3    3
#>  [1649,]    1    1    1    2    3    4    4    4    4
#>  [1650,]    1    1    1    2    2    3    3    3    3
#>  [1651,]    1    2    3    2    4    5    6    6    6
#>  [1652,]    1    1    2    1    1    3    4    4    5
#>  [1653,]    1    1    2    2    1    3    4    5    4
#>  [1654,]    1    2    3    2    3    4    5    6    6
#>  [1655,]    1    2    2    3    3    4    5    5    5
#>  [1656,]    1    2    1    1    3    4    5    6    7
#>  [1657,]    1    2    2    1    3    4    4    5    6
#>  [1658,]    1    2    3    1    1    4    5    6    7
#>  [1659,]    1    2    2    3    2    4    5    6    7
#>  [1660,]    1    1    2    3    2    4    5    6    4
#>  [1661,]    1    2    3    4    5    6    7    6    6
#>  [1662,]    1    2    3    2    2    4    5    5    4
#>  [1663,]    1    1    2    3    3    4    5    6    7
#>  [1664,]    1    2    2    2    2    3    4    4    4
#>  [1665,]    1    2    2    1    2    3    4    5    6
#>  [1666,]    1    1    2    2    3    4    5    6    7
#>  [1667,]    1    2    2    2    3    4    5    6    7
#>  [1668,]    1    2    2    3    4    5    6    7    6
#>  [1669,]    1    2    2    3    1    4    5    6    5
#>  [1670,]    1    2    3    4    3    5    6    7    8
#>  [1671,]    1    2    2    1    1    3    4    5    6
#>  [1672,]    1    2    1    2    3    4    5    5    6
#>  [1673,]    1    2    2    3    4    5    6    7    8
#>  [1674,]    1    1    2    1    3    4    5    6    5
#>  [1675,]    1    2    1    2    2    3    4    5    5
#>  [1676,]    1    2    1    1    1    3    4    4    4
#>  [1677,]    1    1    1    1    1    2    3    3    3
#>  [1678,]    1    1    1    1    1    2    3    3    4
#>  [1679,]    1    1    2    3    2    4    5    6    6
#>  [1680,]    1    2    2    3    4    5    5    5    6
#>  [1681,]    1    2    1    1    1    3    4    5    6
#>  [1682,]    1    1    1    2    2    3    4    5    6
#>  [1683,]    1    1    1    2    3    4    5    6    7
#>  [1684,]    1    2    1    3    4    3    5    6    7
#>  [1685,]    1    2    3    1    4    5    6    7    7
#>  [1686,]    1    2    2    2    2    3    4    5    6
#>  [1687,]    1    2    2    2    3    4    5    6    7
#>  [1688,]    1    1    2    1    3    4    5    6    7
#>  [1689,]    1    1    2    2    3    4    5    6    6
#>  [1690,]    1    2    1    3    1    4    5    6    5
#>  [1691,]    1    2    2    1    2    3    3    3    3
#>  [1692,]    1    2    1    2    1    3    4    4    4
#>  [1693,]    1    1    1    2    1    3    4    4    4
#>  [1694,]    1    1    1    1    1    2    3    4    4
#>  [1695,]    1    1    1    2    1    3    4    5    4
#>  [1696,]    1    1    1    1    1    2    2    3    3
#>  [1697,]    1    1    1    1    1    2    3    2    3
#>  [1698,]    1    1    1    1    1    2    3    4    4
#>  [1699,]    1    1    1    1    1    2    2    2    2
#>  [1700,]    1    1    1    1    1    2    2    2    2
#>  [1701,]    1    1    1    1    1    2    3    3    3
#>  [1702,]    1    1    1    1    1    2    2    2    2
#>  [1703,]    1    2    2    2    2    3    4    3    3
#>  [1704,]    1    1    1    1    1    2    2    2    2
#>  [1705,]    1    1    1    1    1    2    2    2    2
#>  [1706,]    1    1    1    1    1    2    3    3    4
#>  [1707,]    1    1    1    1    1    2    2    2    2
#>  [1708,]    1    1    1    2    2    3    3    3    3
#>  [1709,]    1    2    2    1    1    3    3    3    3
#>  [1710,]    1    2    3    3    4    5    6    6    6
#>  [1711,]    1    2    3    4    5    6    7    7    8
#>  [1712,]    1    2    3    4    5    6    7    8    9
#>  [1713,]    1    2    3    4    5    6    7    8    9
#>  [1714,]    1    2    3    4    5    6    7    8    7
#>  [1715,]    1    2    3    4    5    6    7    8    9
#>  [1716,]    1    2    3    4    5    6    7    8    9
#>  [1717,]    1    2    3    3    4    5    6    6    6
#>  [1718,]    1    2    1    3    1    4    5    6    6
#>  [1719,]    1    2    1    1    3    4    5    5    6
#>  [1720,]    1    1    1    1    1    2    3    4    4
#>  [1721,]    1    1    1    1    1    2    2    2    3
#>  [1722,]    1    2    1    1    3    4    5    6    7
#>  [1723,]    1    1    1    2    3    4    5    6    7
#>  [1724,]    1    2    2    3    3    4    5    6    7
#>  [1725,]    1    2    3    3    4    5    6    7    6
#>  [1726,]    1    2    3    4    5    6    7    7    8
#>  [1727,]    1    2    3    2    2    4    5    5    6
#>  [1728,]    1    2    3    2    4    5    6    7    5
#>  [1729,]    1    2    1    3    2    4    4    5    4
#>  [1730,]    1    2    3    2    4    4    5    6    7
#>  [1731,]    1    2    3    1    2    4    5    4    4
#>  [1732,]    1    2    2    2    3    4    5    6    7
#>  [1733,]    1    2    3    4    4    5    6    6    6
#>  [1734,]    1    2    1    1    1    3    3    3    4
#>  [1735,]    1    1    2    2    1    3    3    3    3
#>  [1736,]    1    1    2    1    2    3    4    5    4
#>  [1737,]    1    1    1    2    1    3    3    3    3
#>  [1738,]    1    1    2    2    2    3    3    3    3
#>  [1739,]    1    2    1    2    1    3    4    5    6
#>  [1740,]    1    2    3    1    1    4    4    4    5
#>  [1741,]    1    2    1    1    1    3    4    3    3
#>  [1742,]    1    2    1    3    1    4    4    4    4
#>  [1743,]    1    1    2    2    3    4    4    4    4
#>  [1744,]    1    1    2    3    1    4    5    5    5
#>  [1745,]    1    1    2    1    2    3    4    5    6
#>  [1746,]    1    1    1    1    1    2    3    4    4
#>  [1747,]    1    2    1    2    2    3    3    3    3
#>  [1748,]    1    2    1    1    1    3    4    3    3
#>  [1749,]    1    2    2    2    3    4    4    4    5
#>  [1750,]    1    2    1    1    1    3    4    4    5
#>  [1751,]    1    1    1    2    2    3    3    3    3
#>  [1752,]    1    2    2    1    2    3    3    3    3
#>  [1753,]    1    1    2    3    2    4    5    4    5
#>  [1754,]    1    2    3    4    4    5    5    6    5
#>  [1755,]    1    2    2    2    3    4    5    5    5
#>  [1756,]    1    2    2    2    3    4    5    5    5
#>  [1757,]    1    1    2    1    1    3    3    4    5
#>  [1758,]    1    2    3    4    5    6    7    8    6
#>  [1759,]    1    2    3    2    1    4    4    5    6
#>  [1760,]    1    2    3    2    2    4    5    4    4
#>  [1761,]    1    2    1    2    1    3    4    3    3
#>  [1762,]    1    2    3    4    5    6    7    6    7
#>  [1763,]    1    1    2    3    4    5    6    6    7
#>  [1764,]    1    2    1    1    3    4    4    4    5
#>  [1765,]    1    2    2    1    1    3    4    3    4
#>  [1766,]    1    1    1    2    2    3    3    4    3
#>  [1767,]    1    2    2    3    2    4    5    6    7
#>  [1768,]    1    2    1    1    1    3    4    3    5
#>  [1769,]    1    2    3    3    3    4    4    4    4
#>  [1770,]    1    2    1    3    1    4    4    4    4
#>  [1771,]    1    1    2    1    1    3    3    3    3
#>  [1772,]    1    1    1    1    1    2    2    2    2
#>  [1773,]    1    1    1    1    1    2    2    2    2
#>  [1774,]    1    1    1    1    1    2    3    4    3
#>  [1775,]    1    1    1    1    1    2    3    4    5
#>  [1776,]    1    1    2    3    2    4    5    6    7
#>  [1777,]    1    1    2    1    3    4    4    5    4
#>  [1778,]    1    2    3    3    2    4    4    5    4
#>  [1779,]    1    1    2    1    3    4    5    5    6
#>  [1780,]    1    2    3    4    5    6    6    7    8
#>  [1781,]    1    2    3    2    2    4    4    5    5
#>  [1782,]    1    2    2    1    2    3    3    3    3
#>  [1783,]    1    1    1    1    2    3    4    4    3
#>  [1784,]    1    2    2    2    2    3    3    3    3
#>  [1785,]    1    1    1    1    2    3    4    4    4
#>  [1786,]    1    1    1    1    2    3    3    3    4
#>  [1787,]    1    1    2    2    1    3    4    5    5
#>  [1788,]    1    2    1    2    2    3    4    4    4
#>  [1789,]    1    2    2    1    2    3    3    4    3
#>  [1790,]    1    2    2    1    1    3    3    3    4
#>  [1791,]    1    2    1    1    2    3    3    3    3
#>  [1792,]    1    1    2    1    2    3    4    4    5
#>  [1793,]    1    2    3    4    4    5    6    6    7
#>  [1794,]    1    2    3    3    1    4    4    5    5
#>  [1795,]    1    1    2    3    1    4    4    4    4
#>  [1796,]    1    2    2    3    2    4    4    4    5
#>  [1797,]    1    2    3    4    1    5    6    5    6
#>  [1798,]    1    2    3    1    1    4    4    4    5
#>  [1799,]    1    1    1    1    1    2    3    4    3
#>  [1800,]    1    1    1    1    1    2    3    4    5
#>  [1801,]    1    1    1    2    3    4    4    5    5
#>  [1802,]    1    2    1    2    3    4    5    4    5
#>  [1803,]    1    1    2    3    4    5    5    5    6
#>  [1804,]    1    2    3    3    4    5    6    5    7
#>  [1805,]    1    2    3    4    2    5    6    5    5
#>  [1806,]    1    2    3    2    4    5    6    7    8
#>  [1807,]    1    1    2    2    3    4    5    6    7
#>  [1808,]    1    2    3    4    2    5    6    7    8
#>  [1809,]    1    2    3    4    3    5    6    7    5
#>  [1810,]    1    2    2    2    3    4    5    6    7
#>  [1811,]    1    1    1    2    3    4    5    6    4
#>  [1812,]    1    2    1    1    1    3    4    5    3
#>  [1813,]    1    2    1    2    2    3    3    3    4
#>  [1814,]    1    1    1    1    1    2    3    4    5
#>  [1815,]    1    1    1    1    1    2    3    4    5
#>  [1816,]    1    1    2    2    3    4    5    6    7
#>  [1817,]    1    2    2    3    3    4    5    6    7
#>  [1818,]    1    2    1    2    2    3    4    4    3
#>  [1819,]    1    1    2    2    1    3    3    4    4
#>  [1820,]    1    2    1    3    1    4    5    5    5
#>  [1821,]    1    2    2    2    3    4    4    5    5
#>  [1822,]    1    2    3    4    3    5    5    5    6
#>  [1823,]    1    2    1    3    4    5    6    6    7
#>  [1824,]    1    2    2    3    4    5    5    6    7
#>  [1825,]    1    2    3    4    5    6    7    8    9
#>  [1826,]    1    2    3    4    5    6    7    8    9
#>  [1827,]    1    2    3    4    5    6    6    6    6
#>  [1828,]    1    2    3    4    5    6    7    7    6
#>  [1829,]    1    2    2    3    1    4    4    5    4
#>  [1830,]    1    1    1    2    1    3    4    3    5
#>  [1831,]    1    2    3    2    3    4    5    5    5
#>  [1832,]    1    1    2    2    1    3    3    4    5
#>  [1833,]    1    2    3    4    5    6    7    8    9
#>  [1834,]    1    2    1    3    1    4    5    6    7
#>  [1835,]    1    2    3    1    3    4    5    6    7
#>  [1836,]    1    2    3    4    2    5    6    6    6
#>  [1837,]    1    1    2    3    3    4    5    6    5
#>  [1838,]    1    2    1    1    1    3    3    3    3
#>  [1839,]    1    1    1    2    1    3    4    3    4
#>  [1840,]    1    1    2    1    2    3    3    3    4
#>  [1841,]    1    2    1    1    1    3    4    4    5
#>  [1842,]    1    1    2    3    1    4    5    6    5
#>  [1843,]    1    1    2    1    1    3    4    5    4
#>  [1844,]    1    2    2    2    3    4    5    6    7
#>  [1845,]    1    2    1    3    4    5    6    7    8
#>  [1846,]    1    1    2    1    1    3    4    5    6
#>  [1847,]    1    2    2    1    1    3    4    3    4
#>  [1848,]    1    2    3    1    4    5    6    7    6
#>  [1849,]    1    2    3    4    3    5    6    5    5
#>  [1850,]    1    1    1    2    2    3    4    5    6
#>  [1851,]    1    2    2    3    2    4    4    4    4
#>  [1852,]    1    1    1    1    1    2    2    2    2
#>  [1853,]    1    1    1    1    2    3    4    5    4
#>  [1854,]    1    1    2    3    4    5    6    7    5
#>  [1855,]    1    2    3    2    3    4    5    5    5
#>  [1856,]    1    2    3    2    2    4    5    6    5
#>  [1857,]    1    2    1    1    2    3    4    4    5
#>  [1858,]    1    2    3    4    4    5    6    7    8
#>  [1859,]    1    2    3    4    1    5    6    7    8
#>  [1860,]    1    1    2    3    4    5    6    7    5
#>  [1861,]    1    2    3    2    4    5    5    6    5
#>  [1862,]    1    1    2    3    4    5    6    6    6
#>  [1863,]    1    2    3    3    3    4    5    6    6
#>  [1864,]    1    1    2    2    2    3    4    3    5
#>  [1865,]    1    1    1    1    1    2    3    2    4
#>  [1866,]    1    1    1    1    1    2    2    2    3
#>  [1867,]    1    1    1    2    3    4    5    4    5
#>  [1868,]    1    2    2    1    2    3    4    4    4
#>  [1869,]    1    1    2    1    1    3    4    4    4
#>  [1870,]    1    2    1    1    3    4    4    4    4
#>  [1871,]    1    2    2    2    3    4    5    4    4
#>  [1872,]    1    1    1    1    2    3    4    4    4
#>  [1873,]    1    1    2    3    3    4    5    6    5
#>  [1874,]    1    2    2    3    4    5    5    6    5
#>  [1875,]    1    2    1    3    2    4    5    6    7
#>  [1876,]    1    1    2    1    3    4    5    6    7
#>  [1877,]    1    2    3    4    2    5    6    7    8
#>  [1878,]    1    2    3    3    4    5    6    7    8
#>  [1879,]    1    2    2    3    4    5    6    7    8
#>  [1880,]    1    1    2    3    1    4    5    6    7
#>  [1881,]    1    2    2    1    2    3    4    5    5
#>  [1882,]    1    2    3    1    4    5    6    5    6
#>  [1883,]    1    2    3    1    4    5    6    6    7
#>  [1884,]    1    2    1    2    2    3    3    4    5
#>  [1885,]    1    1    2    3    2    4    5    6    6
#>  [1886,]    1    1    1    2    2    3    4    4    4
#>  [1887,]    1    1    1    1    1    2    2    3    2
#>  [1888,]    1    1    1    2    1    3    4    5    4
#>  [1889,]    1    2    3    4    1    5    6    7    7
#>  [1890,]    1    2    1    1    1    3    4    5    5
#>  [1891,]    1    2    3    3    3    4    5    5    4
#>  [1892,]    1    2    1    1    2    3    4    4    4
#>  [1893,]    1    2    1    2    1    3    3    3    4
#>  [1894,]    1    2    3    1    4    5    5    5    5
#>  [1895,]    1    1    1    2    1    3    4    5    4
#>  [1896,]    1    1    2    3    1    4    5    5    6
#>  [1897,]    1    1    2    2    2    3    4    5    6
#>  [1898,]    1    1    1    1    1    2    3    2    3
#>  [1899,]    1    1    1    1    1    2    2    2    2
#>  [1900,]    1    1    1    1    1    2    2    2    2
#>  [1901,]    1    2    2    1    1    3    4    3    5
#>  [1902,]    1    1    1    1    2    3    4    4    3
#>  [1903,]    1    1    2    1    1    3    3    3    4
#>  [1904,]    1    2    2    2    2    3    3    3    3
#>  [1905,]    1    2    3    1    4    5    6    6    7
#>  [1906,]    1    2    1    1    3    4    4    5    4
#>  [1907,]    1    1    1    2    1    3    4    4    4
#>  [1908,]    1    2    1    1    2    3    3    3    3
#>  [1909,]    1    1    1    1    1    2    2    2    2
#>  [1910,]    1    1    1    1    1    2    2    2    2
#>  [1911,]    1    2    3    3    3    4    4    4    4
#>  [1912,]    1    1    2    2    2    3    4    3    5
#>  [1913,]    1    2    3    4    5    6    7    8    6
#>  [1914,]    1    1    2    1    1    3    3    4    3
#>  [1915,]    1    1    2    3    3    4    5    5    6
#>  [1916,]    1    1    2    3    4    5    6    7    6
#>  [1917,]    1    2    2    2    3    4    5    6    7
#>  [1918,]    1    1    1    1    1    2    3    4    5
#>  [1919,]    1    1    1    1    1    2    3    2    3
#>  [1920,]    1    1    2    1    1    3    4    5    4
#>  [1921,]    1    1    1    1    2    3    4    3    3
#>  [1922,]    1    1    1    1    1    2    3    4    3
#>  [1923,]    1    2    1    3    4    5    6    7    8
#>  [1924,]    1    2    1    1    3    4    5    4    6
#>  [1925,]    1    2    1    3    4    5    6    7    7
#>  [1926,]    1    2    2    2    3    4    5    4    6
#>  [1927,]    1    2    3    3    3    4    4    4    5
#>  [1928,]    1    1    1    2    1    3    4    5    5
#>  [1929,]    1    2    2    1    2    3    4    4    4
#>  [1930,]    1    2    3    4    3    5    6    7    8
#>  [1931,]    1    2    3    3    1    4    5    6    7
#>  [1932,]    1    2    3    4    2    5    6    6    7
#>  [1933,]    1    1    2    3    1    4    5    4    4
#>  [1934,]    1    1    1    2    3    4    5    6    7
#>  [1935,]    1    1    2    1    3    4    5    5    5
#>  [1936,]    1    2    3    1    1    4    5    4    6
#>  [1937,]    1    2    3    4    5    6    7    6    7
#>  [1938,]    1    2    3    4    3    5    6    7    8
#>  [1939,]    1    2    3    4    5    6    7    6    8
#>  [1940,]    1    2    2    2    3    4    5    6    7
#>  [1941,]    1    2    2    1    3    4    5    5    6
#>  [1942,]    1    2    1    1    1    3    4    5    4
#>  [1943,]    1    1    1    1    1    2    3    4    3
#>  [1944,]    1    1    1    1    2    3    3    3    3
#>  [1945,]    1    1    2    3    1    4    5    5    5
#>  [1946,]    1    1    1    2    3    4    4    5    6
#>  [1947,]    1    2    1    2    3    4    5    6    7
#>  [1948,]    1    2    3    3    1    4    5    6    4
#>  [1949,]    1    2    3    3    3    4    5    5    6
#>  [1950,]    1    1    1    1    1    2    3    4    5
#>  [1951,]    1    1    1    1    1    2    2    2    2
#>  [1952,]    1    1    1    1    1    2    3    2    2
#>  [1953,]    1    1    1    1    1    2    2    2    3
#>  [1954,]    1    1    1    1    2    3    3    3    4
#>  [1955,]    1    1    2    3    1    4    5    6    5
#>  [1956,]    1    1    1    1    1    2    3    2    3
#>  [1957,]    1    2    2    2    2    3    4    5    6
#>  [1958,]    1    1    1    1    2    3    4    5    6
#>  [1959,]    1    1    2    2    2    3    4    5    5
#>  [1960,]    1    2    1    1    3    4    5    5    5
#>  [1961,]    1    2    3    4    5    6    7    7    7
#>  [1962,]    1    2    3    3    3    4    5    5    5
#>  [1963,]    1    2    3    3    4    5    6    7    8
#>  [1964,]    1    2    3    4    5    6    7    8    9
#>  [1965,]    1    2    3    4    4    5    6    7    6
#>  [1966,]    1    2    3    4    5    6    7    8    9
#>  [1967,]    1    2    2    3    4    5    6    7    8
#>  [1968,]    1    2    3    3    3    4    5    5    5
#>  [1969,]    1    2    3    1    1    4    5    4    6
#>  [1970,]    1    2    2    3    4    5    6    7    7
#>  [1971,]    1    1    2    2    1    3    3    3    4
#>  [1972,]    1    2    1    1    2    3    4    5    4
#>  [1973,]    1    2    3    2    1    4    5    6    7
#>  [1974,]    1    2    3    4    5    6    7    8    9
#>  [1975,]    1    2    3    4    5    6    7    6    6
#>  [1976,]    1    2    1    1    1    3    4    5    3
#>  [1977,]    1    2    2    2    3    4    5    6    7
#>  [1978,]    1    2    3    4    4    5    6    7    8
#>  [1979,]    1    1    2    1    3    4    4    5    5
#>  [1980,]    1    1    1    2    3    4    5    5    6
#>  [1981,]    1    2    1    3    2    4    4    5    6
#>  [1982,]    1    2    3    4    5    6    7    8    9
#>  [1983,]    1    2    1    3    1    4    4    5    6
#>  [1984,]    1    2    3    4    5    6    6    7    6
#>  [1985,]    1    1    2    2    2    3    4    3    3
#>  [1986,]    1    1    1    1    2    3    4    5    4
#>  [1987,]    1    2    3    1    4    5    6    7    8
#>  [1988,]    1    2    2    3    4    5    5    6    6
#>  [1989,]    1    2    1    1    1    3    4    5    4
#>  [1990,]    1    2    3    2    1    4    4    4    4
#>  [1991,]    1    1    1    1    1    2    2    3    4
#>  [1992,]    1    1    2    2    2    3    3    4    5
#>  [1993,]    1    2    3    4    5    6    6    7    8
#>  [1994,]    1    2    3    4    5    6    7    8    9
#>  [1995,]    1    2    3    4    5    6    7    7    7
#>  [1996,]    1    2    3    4    5    6    7    8    9
#>  [1997,]    1    2    3    4    5    6    7    8    9
#>  [1998,]    1    2    1    2    3    4    5    6    7
#>  [1999,]    1    2    2    3    3    4    4    5    6
#>  [2000,]    1    1    1    2    3    4    5    6    6
#>  [2001,]    1    1    1    2    3    4    5    5    5
#>  [2002,]    1    1    2    2    3    4    5    6    5
#>  [2003,]    1    2    1    3    4    5    6    7    8
#>  [2004,]    1    2    3    4    5    6    7    8    8
#>  [2005,]    1    2    3    3    4    5    6    7    8
#>  [2006,]    1    2    2    2    3    4    5    6    7
#>  [2007,]    1    2    3    4    5    6    7    8    7
#>  [2008,]    1    1    2    2    3    4    5    6    7
#>  [2009,]    1    2    3    4    4    5    6    7    8
#>  [2010,]    1    2    1    3    4    5    6    7    7
#>  [2011,]    1    1    2    3    4    5    6    7    7
#>  [2012,]    1    1    2    3    1    4    5    4    6
#>  [2013,]    1    1    1    2    2    3    4    5    6
#>  [2014,]    1    2    3    4    2    5    6    7    7
#>  [2015,]    1    2    3    1    4    5    6    6    5
#>  [2016,]    1    2    2    3    3    4    5    5    6
#>  [2017,]    1    1    2    3    2    4    4    5    6
#>  [2018,]    1    2    2    2    3    4    5    4    6
#>  [2019,]    1    1    1    2    3    4    4    5    5
#>  [2020,]    1    2    2    3    4    5    5    5    5
#>  [2021,]    1    1    1    1    1    2    3    4    4
#>  [2022,]    1    1    1    1    1    2    3    3    3
#>  [2023,]    1    1    1    1    1    2    3    2    2
#>  [2024,]    1    1    1    1    1    2    2    2    2
#>  [2025,]    1    1    1    1    1    2    2    3    4
#>  [2026,]    1    1    1    1    1    2    2    3    4
#>  [2027,]    1    1    1    1    1    2    3    4    3
#>  [2028,]    1    1    1    1    1    2    2    3    3
#>  [2029,]    1    2    3    3    3    4    5    5    5
#>  [2030,]    1    2    3    1    4    5    6    6    6
#>  [2031,]    1    2    3    2    4    5    6    6    5
#>  [2032,]    1    1    2    3    4    5    5    6    7
#>  [2033,]    1    2    3    4    4    5    6    7    7
#>  [2034,]    1    2    3    4    5    6    7    7    7
#>  [2035,]    1    2    3    4    5    6    6    7    8
#>  [2036,]    1    2    3    4    5    3    6    7    7
#>  [2037,]    1    2    3    4    3    5    6    7    8
#>  [2038,]    1    2    3    4    5    6    6    7    8
#>  [2039,]    1    2    3    4    3    5    6    7    6
#>  [2040,]    1    2    3    4    5    6    7    7    7
#>  [2041,]    1    2    2    3    4    5    6    6    6
#>  [2042,]    1    1    1    2    3    4    5    6    6
#>  [2043,]    1    1    2    3    4    5    5    6    7
#>  [2044,]    1    2    3    4    5    6    7    8    9
#>  [2045,]    1    2    3    4    5    6    7    7    8
#>  [2046,]    1    2    3    1    2    4    5    6    7
#>  [2047,]    1    1    2    2    2    3    4    5    6
#>  [2048,]    1    2    2    1    1    3    3    4    3
#>  [2049,]    1    1    1    2    3    4    4    4    5
#>  [2050,]    1    2    3    4    2    5    6    7    8
#>  [2051,]    1    1    2    3    4    5    6    7    8
#>  [2052,]    1    1    2    3    4    5    6    7    7
#>  [2053,]    1    2    3    1    3    4    5    6    5
#>  [2054,]    1    2    3    4    5    6    7    8    9
#>  [2055,]    1    2    2    3    4    5    6    7    7
#>  [2056,]    1    2    3    4    5    6    7    8    9
#>  [2057,]    1    2    1    3    1    4    5    6    7
#>  [2058,]    1    2    3    1    4    5    6    7    6
#>  [2059,]    1    1    2    3    3    4    5    6    7
#>  [2060,]    1    2    3    3    3    4    4    5    6
#>  [2061,]    1    2    2    2    2    3    4    5    6
#>  [2062,]    1    2    2    1    2    3    4    5    6
#>  [2063,]    1    2    2    2    3    4    4    4    5
#>  [2064,]    1    1    2    3    2    4    4    5    4
#>  [2065,]    1    2    2    3    4    5    6    7    7
#>  [2066,]    1    2    2    3    4    5    6    7    7
#>  [2067,]    1    1    2    3    3    4    5    5    5
#>  [2068,]    1    2    3    3    4    5    6    7    6
#>  [2069,]    1    2    2    1    2    3    4    5    6
#>  [2070,]    1    1    1    1    1    2    3    4    5
#>  [2071,]    1    1    1    1    1    2    3    4    4
#>  [2072,]    1    1    1    1    1    2    3    3    3
#>  [2073,]    1    2    1    1    2    3    4    3    4
#>  [2074,]    1    2    2    1    2    3    3    4    3
#>  [2075,]    1    2    1    3    3    4    4    5    6
#>  [2076,]    1    2    3    4    3    5    6    7    7
#>  [2077,]    1    2    3    4    5    6    7    8    9
#>  [2078,]    1    2    3    4    4    5    6    7    7
#>  [2079,]    1    2    2    2    3    4    5    6    7
#>  [2080,]    1    2    3    1    3    4    5    4    6
#>  [2081,]    1    2    3    2    4    5    6    7    7
#>  [2082,]    1    2    3    1    4    5    5    6    6
#>  [2083,]    1    2    3    4    3    5    5    6    7
#>  [2084,]    1    2    1    3    1    4    5    6    7
#>  [2085,]    1    1    1    1    1    2    3    3    2
#>  [2086,]    1    1    1    1    2    3    3    3    4
#>  [2087,]    1    2    1    2    3    4    5    5    5
#>  [2088,]    1    2    3    4    2    5    6    6    6
#>  [2089,]    1    2    2    2    2    3    4    3    4
#>  [2090,]    1    2    1    1    3    4    5    5    5
#>  [2091,]    1    1    1    2    3    4    5    6    5
#>  [2092,]    1    2    3    4    2    3    5    6    5
#>  [2093,]    1    1    2    1    3    4    5    5    5
#>  [2094,]    1    2    3    4    1    5    5    5    5
#>  [2095,]    1    2    2    3    2    4    4    4    4
#>  [2096,]    1    1    2    3    4    5    5    5    5
#>  [2097,]    1    2    3    2    1    4    4    4    4
#>  [2098,]    1    2    3    1    1    4    4    4    4
#>  [2099,]    1    2    2    2    2    3    3    3    3
#>  [2100,]    1    1    2    1    3    4    4    4    5
#>  [2101,]    1    1    2    3    1    4    5    4    6
#>  [2102,]    1    2    3    4    3    5    6    7    6
#>  [2103,]    1    2    3    3    3    4    5    6    7
#>  [2104,]    1    2    1    1    3    4    5    6    7
#>  [2105,]    1    2    3    4    1    5    6    7    8
#>  [2106,]    1    2    3    1    4    5    6    7    8
#>  [2107,]    1    2    3    3    4    5    6    7    7
#>  [2108,]    1    2    2    3    4    5    6    7    8
#>  [2109,]    1    2    3    4    5    6    7    8    9
#>  [2110,]    1    2    3    4    5    6    7    8    9
#>  [2111,]    1    2    3    4    5    6    7    8    9
#>  [2112,]    1    2    2    3    4    5    6    7    8
#>  [2113,]    1    2    2    3    1    4    5    6    7
#>  [2114,]    1    2    3    4    2    5    6    7    8
#>  [2115,]    1    2    3    1    1    4    5    6    5
#>  [2116,]    1    2    1    1    1    3    4    4    4
#>  [2117,]    1    1    2    3    4    5    6    7    5
#>  [2118,]    1    1    2    1    2    3    4    4    5
#>  [2119,]    1    2    3    1    3    4    5    5    6
#>  [2120,]    1    2    1    1    3    4    5    4    4
#>  [2121,]    1    2    2    1    1    3    3    3    3
#>  [2122,]    1    1    2    1    1    3    4    3    4
#>  [2123,]    1    2    2    1    2    3    3    4    3
#>  [2124,]    1    2    1    3    3    4    4    4    4
#>  [2125,]    1    1    2    2    2    3    3    3    4
#>  [2126,]    1    1    2    2    2    3    4    5    3
#>  [2127,]    1    2    1    2    2    3    3    3    3
#>  [2128,]    1    2    2    2    2    3    3    3    3
#>  [2129,]    1    1    1    1    2    3    3    3    3
#>  [2130,]    1    1    1    2    1    3    4    4    4
#>  [2131,]    1    2    3    2    4    5    6    5    5
#>  [2132,]    1    1    2    3    1    4    5    6    6
#>  [2133,]    1    2    1    3    1    4    5    6    7
#>  [2134,]    1    2    3    4    4    5    6    7    8
#>  [2135,]    1    1    2    1    1    3    4    5    5
#>  [2136,]    1    1    1    2    3    4    5    6    5
#>  [2137,]    1    2    2    3    4    5    5    6    5
#>  [2138,]    1    2    1    1    1    3    3    3    3
#>  [2139,]    1    2    1    2    2    3    3    3    3
#>  [2140,]    1    2    2    2    1    3    3    3    3
#>  [2141,]    1    2    2    2    2    3    3    3    4
#>  [2142,]    1    2    3    4    1    5    6    5    7
#>  [2143,]    1    1    1    2    3    4    5    5    5
#>  [2144,]    1    2    1    3    1    4    5    5    5
#>  [2145,]    1    2    2    1    3    4    4    4    4
#>  [2146,]    1    2    2    2    2    3    3    3    4
#>  [2147,]    1    1    1    1    1    2    3    4    5
#>  [2148,]    1    1    1    1    1    2    2    3    3
#>  [2149,]    1    1    1    1    1    2    3    4    2
#>  [2150,]    1    1    2    2    3    4    5    5    5
#>  [2151,]    1    1    1    2    2    3    3    4    4
#>  [2152,]    1    2    3    4    1    5    6    5    5
#>  [2153,]    1    2    2    3    2    4    5    5    5
#>  [2154,]    1    2    1    1    1    3    4    4    4
#>  [2155,]    1    1    2    1    1    3    3    3    3
#>  [2156,]    1    2    2    1    1    3    4    4    4
#>  [2157,]    1    2    3    3    1    4    5    5    5
#>  [2158,]    1    2    3    2    4    5    6    6    6
#>  [2159,]    1    2    2    3    4    5    5    5    6
#>  [2160,]    1    1    2    1    1    3    4    5    4
#>  [2161,]    1    1    1    1    1    2    2    3    4
#>  [2162,]    1    1    1    1    2    3    4    3    4
#>  [2163,]    1    1    2    3    1    4    5    5    6
#>  [2164,]    1    2    3    4    1    5    5    6    5
#>  [2165,]    1    1    1    1    2    3    3    3    3
#>  [2166,]    1    2    2    2    3    4    4    5    6
#>  [2167,]    1    2    3    4    5    6    7    8    7
#>  [2168,]    1    2    3    4    3    5    6    7    8
#>  [2169,]    1    2    3    4    5    6    7    7    7
#>  [2170,]    1    2    3    2    2    4    5    5    5
#>  [2171,]    1    2    3    4    2    5    5    5    5
#>  [2172,]    1    1    1    1    1    2    2    2    2
#>  [2173,]    1    2    1    1    2    3    3    3    4
#>  [2174,]    1    2    2    2    3    4    4    4    5
#>  [2175,]    1    2    3    1    4    5    6    5    6
#>  [2176,]    1    2    2    3    2    4    5    6    5
#>  [2177,]    1    2    2    2    2    3    4    5    4
#>  [2178,]    1    2    2    1    2    3    4    5    5
#>  [2179,]    1    1    1    2    2    3    4    4    4
#>  [2180,]    1    2    3    2    4    5    6    6    6
#>  [2181,]    1    1    1    2    3    4    5    5    6
#>  [2182,]    1    1    1    1    2    3    4    5    6
#>  [2183,]    1    1    2    3    2    4    5    6    7
#>  [2184,]    1    2    3    4    3    5    6    6    7
#>  [2185,]    1    1    2    2    3    4    5    5    5
#>  [2186,]    1    2    1    3    4    5    6    7    8
#>  [2187,]    1    2    2    3    2    4    5    6    6
#>  [2188,]    1    2    2    3    4    5    6    6    5
#>  [2189,]    1    1    2    1    3    4    4    4    4
#>  [2190,]    1    1    1    1    1    2    2    2    3
#>  [2191,]    1    1    2    1    1    3    4    5    5
#>  [2192,]    1    1    1    2    1    3    3    3    3
#>  [2193,]    1    2    1    1    3    4    5    5    5
#>  [2194,]    1    2    3    1    2    4    5    5    6
#>  [2195,]    1    1    2    3    1    4    5    6    6
#>  [2196,]    1    1    2    1    3    4    5    4    6
#>  [2197,]    1    2    1    3    1    4    5    6    4
#>  [2198,]    1    2    3    4    5    6    7    7    8
#>  [2199,]    1    2    3    4    5    6    7    8    7
#>  [2200,]    1    2    3    4    4    5    5    6    7
#>  [2201,]    1    2    3    4    4    5    6    7    7
#>  [2202,]    1    2    3    2    2    4    5    6    7
#>  [2203,]    1    2    1    1    1    3    4    3    5
#>  [2204,]    1    2    2    2    2    3    4    5    6
#>  [2205,]    1    2    1    1    3    4    5    6    4
#>  [2206,]    1    1    1    1    2    3    4    5    4
#>  [2207,]    1    1    1    1    1    2    3    4    4
#>  [2208,]    1    1    2    1    3    4    4    5    4
#>  [2209,]    1    2    1    1    1    3    3    3    3
#>  [2210,]    1    2    2    2    2    3    4    4    4
#>  [2211,]    1    1    2    1    1    3    3    3    3
#>  [2212,]    1    1    1    1    2    3    3    3    3
#>  [2213,]    1    1    1    1    2    3    4    5    6
#>  [2214,]    1    2    3    4    3    5    6    7    8
#>  [2215,]    1    2    3    4    5    6    7    8    9
#>  [2216,]    1    2    3    4    1    5    6    7    5
#>  [2217,]    1    2    3    3    3    4    5    6    7
#>  [2218,]    1    2    3    2    2    4    5    6    7
#>  [2219,]    1    2    3    4    5    6    7    8    9
#>  [2220,]    1    2    3    4    5    6    7    8    9
#>  [2221,]    1    2    3    4    5    6    7    8    9
#>  [2222,]    1    2    3    4    5    6    7    8    9
#>  [2223,]    1    2    3    4    5    6    7    8    9
#>  [2224,]    1    2    3    4    5    6    7    7    8
#>  [2225,]    1    1    2    3    4    5    6    7    8
#>  [2226,]    1    2    3    3    4    5    6    7    8
#>  [2227,]    1    2    3    4    5    6    7    8    9
#>  [2228,]    1    2    1    1    3    4    5    6    7
#>  [2229,]    1    2    3    4    5    6    7    8    8
#>  [2230,]    1    1    2    3    4    5    6    5    6
#>  [2231,]    1    2    1    2    3    4    4    5    6
#>  [2232,]    1    1    2    3    4    5    6    7    5
#>  [2233,]    1    2    1    3    4    5    6    7    7
#>  [2234,]    1    2    1    3    4    5    5    6    7
#>  [2235,]    1    2    3    4    4    5    6    7    8
#>  [2236,]    1    2    3    4    3    5    6    6    6
#>  [2237,]    1    1    2    3    4    5    5    6    6
#>  [2238,]    1    2    3    4    3    5    6    6    6
#>  [2239,]    1    2    3    2    2    4    5    5    6
#>  [2240,]    1    1    2    2    2    3    4    5    4
#>  [2241,]    1    2    3    3    3    4    5    6    5
#>  [2242,]    1    1    1    1    2    3    3    3    3
#>  [2243,]    1    2    2    2    2    3    3    3    3
#>  [2244,]    1    1    1    1    1    2    2    2    2
#>  [2245,]    1    1    1    1    1    2    2    2    2
#>  [2246,]    1    1    1    1    1    2    2    3    2
#>  [2247,]    1    1    1    1    1    2    3    3    3
#>  [2248,]    1    1    1    1    1    2    2    2    2
#>  [2249,]    1    1    1    1    1    2    2    2    2
#>  [2250,]    1    2    2    3    2    4    4    4    4
#>  [2251,]    1    2    3    3    4    5    6    6    6
#>  [2252,]    1    2    1    1    1    3    4    4    4
#>  [2253,]    1    2    3    3    2    4    5    5    5
#>  [2254,]    1    1    2    1    1    3    4    4    4
#>  [2255,]    1    2    2    2    1    3    3    4    4
#>  [2256,]    1    1    1    1    1    2    2    3    4
#>  [2257,]    1    1    2    1    1    3    3    3    3
#>  [2258,]    1    2    1    2    1    3    3    3    3
#>  [2259,]    1    2    1    3    3    4    4    4    4
#>  [2260,]    1    2    3    3    3    4    4    5    6
#>  [2261,]    1    2    3    4    3    5    6    5    6
#>  [2262,]    1    2    3    4    5    6    7    7    7
#>  [2263,]    1    2    2    2    2    3    4    3    3
#>  [2264,]    1    2    3    1    1    4    4    5    5
#>  [2265,]    1    2    3    3    4    5    6    7    8
#>  [2266,]    1    2    3    4    5    6    7    8    9
#>  [2267,]    1    2    3    2    4    5    6    7    8
#>  [2268,]    1    2    3    4    5    6    7    8    8
#>  [2269,]    1    2    3    4    5    6    7    8    9
#>  [2270,]    1    1    2    3    4    5    6    7    5
#>  [2271,]    1    2    1    3    1    4    5    6    7
#>  [2272,]    1    2    2    2    3    4    5    6    5
#>  [2273,]    1    2    3    4    5    6    7    8    8
#>  [2274,]    1    2    3    2    4    5    5    6    6
#>  [2275,]    1    1    2    1    1    3    4    5    5
#>  [2276,]    1    2    3    1    3    4    5    4    5
#>  [2277,]    1    2    2    3    4    5    6    7    6
#>  [2278,]    1    2    3    2    4    5    6    7    8
#>  [2279,]    1    2    3    4    3    5    6    7    8
#>  [2280,]    1    2    3    4    3    5    6    7    6
#>  [2281,]    1    2    3    3    1    4    5    6    6
#>  [2282,]    1    1    1    2    2    3    4    5    6
#>  [2283,]    1    2    2    3    4    5    6    7    8
#>  [2284,]    1    2    3    1    1    4    5    6    7
#>  [2285,]    1    2    2    2    3    4    5    6    5
#>  [2286,]    1    2    2    1    3    4    4    5    6
#>  [2287,]    1    2    3    3    3    4    5    6    7
#>  [2288,]    1    1    2    3    3    4    5    6    7
#>  [2289,]    1    2    3    3    4    5    6    7    7
#>  [2290,]    1    1    1    2    3    4    5    5    4
#>  [2291,]    1    2    3    4    4    5    5    5    6
#>  [2292,]    1    2    3    3    4    5    5    6    5
#>  [2293,]    1    2    2    1    3    4    5    6    5
#>  [2294,]    1    2    3    4    3    5    6    6    5
#>  [2295,]    1    2    3    3    4    5    6    7    7
#>  [2296,]    1    2    2    2    2    3    4    4    4
#>  [2297,]    1    2    3    4    3    5    5    5    5
#>  [2298,]    1    2    1    3    3    4    5    5    5
#>  [2299,]    1    2    1    1    1    3    4    3    3
#>  [2300,]    1    2    2    3    3    4    5    6    6
#>  [2301,]    1    2    1    1    3    4    5    6    6
#>  [2302,]    1    1    2    3    1    4    5    4    6
#>  [2303,]    1    2    3    1    4    5    6    7    5
#>  [2304,]    1    2    3    4    5    6    7    7    7
#>  [2305,]    1    2    1    2    3    4    5    6    7
#>  [2306,]    1    2    3    3    4    5    6    7    8
#>  [2307,]    1    2    3    4    5    6    7    8    8
#>  [2308,]    1    2    3    4    5    6    7    7    8
#>  [2309,]    1    2    3    2    4    5    6    7    7
#>  [2310,]    1    2    3    4    5    6    7    8    7
#>  [2311,]    1    2    2    2    2    3    4    4    4
#>  [2312,]    1    2    2    1    2    3    3    4    4
#>  [2313,]    1    2    1    3    4    5    6    7    5
#>  [2314,]    1    2    3    4    5    6    7    8    9
#>  [2315,]    1    1    1    1    1    2    3    4    4
#>  [2316,]    1    2    3    1    1    4    5    6    5
#>  [2317,]    1    1    2    3    2    4    4    4    4
#>  [2318,]    1    2    3    3    3    4    4    4    4
#>  [2319,]    1    1    1    2    3    4    5    5    6
#>  [2320,]    1    2    2    3    4    5    6    7    6
#>  [2321,]    1    2    2    3    1    4    5    5    5
#>  [2322,]    1    1    2    2    3    4    5    5    6
#>  [2323,]    1    2    2    1    1    3    3    3    3
#>  [2324,]    1    1    2    2    2    3    3    3    4
#>  [2325,]    1    1    1    2    3    4    4    4    4
#>  [2326,]    1    1    2    3    2    4    4    4    5
#>  [2327,]    1    2    3    4    2    5    6    5    5
#>  [2328,]    1    2    1    1    1    3    3    4    4
#>  [2329,]    1    2    2    2    2    3    3    3    3
#>  [2330,]    1    2    2    3    2    4    5    6    7
#>  [2331,]    1    2    2    1    3    4    5    6    7
#>  [2332,]    1    2    3    4    1    5    6    7    8
#>  [2333,]    1    2    3    4    3    5    6    6    6
#>  [2334,]    1    1    2    3    4    5    6    6    7
#>  [2335,]    1    2    2    3    2    4    4    5    6
#>  [2336,]    1    2    3    4    4    5    6    7    7
#>  [2337,]    1    2    3    3    1    4    5    6    6
#>  [2338,]    1    2    3    4    5    6    7    8    7
#>  [2339,]    1    2    3    4    3    5    6    6    7
#>  [2340,]    1    2    2    3    2    4    5    5    5
#>  [2341,]    1    2    3    2    4    5    5    6    7
#>  [2342,]    1    1    2    2    3    4    4    5    5
#>  [2343,]    1    2    3    3    3    4    5    6    5
#>  [2344,]    1    2    3    2    3    4    4    5    6
#>  [2345,]    1    2    3    4    5    6    7    8    7
#>  [2346,]    1    1    2    3    1    4    5    6    7
#>  [2347,]    1    1    2    1    3    4    5    6    5
#>  [2348,]    1    1    2    2    2    3    4    4    4
#>  [2349,]    1    1    2    1    1    3    4    4    5
#>  [2350,]    1    1    1    1    1    2    2    3    4
#>  [2351,]    1    1    2    2    3    4    5    4    6
#>  [2352,]    1    2    3    4    3    5    6    6    6
#>  [2353,]    1    2    3    1    2    4    5    5    5
#>  [2354,]    1    1    2    2    2    3    3    3    4
#>  [2355,]    1    2    3    3    2    4    4    5    4
#>  [2356,]    1    2    3    2    3    4    5    5    5
#>  [2357,]    1    2    3    4    1    5    5    5    6
#>  [2358,]    1    2    3    4    3    5    5    6    5
#>  [2359,]    1    2    2    1    3    4    5    6    7
#>  [2360,]    1    2    2    1    1    3    4    3    5
#>  [2361,]    1    1    2    1    3    4    4    5    6
#>  [2362,]    1    1    2    3    2    4    4    5    4
#>  [2363,]    1    2    2    2    3    4    5    5    5
#>  [2364,]    1    2    3    1    4    5    6    6    6
#>  [2365,]    1    2    3    4    2    5    6    6    6
#>  [2366,]    1    1    2    1    3    4    5    5    5
#>  [2367,]    1    1    2    1    3    4    4    4    4
#>  [2368,]    1    1    1    2    2    3    3    3    3
#>  [2369,]    1    1    1    1    1    2    2    2    2
#>  [2370,]    1    1    1    1    1    2    3    2    2
#>  [2371,]    1    2    1    1    3    4    5    5    5
#>  [2372,]    1    1    2    2    2    3    4    3    5
#>  [2373,]    1    2    3    2    4    5    5    5    5
#>  [2374,]    1    1    1    2    3    4    5    5    6
#>  [2375,]    1    2    3    3    1    4    4    5    6
#>  [2376,]    1    2    2    2    3    4    5    6    7
#>  [2377,]    1    1    1    2    3    4    5    6    7
#>  [2378,]    1    2    3    4    5    6    7    8    9
#>  [2379,]    1    2    3    4    4    5    6    7    8
#>  [2380,]    1    2    2    2    1    3    4    5    4
#>  [2381,]    1    2    1    1    1    3    3    4    3
#>  [2382,]    1    2    1    2    2    3    3    3    3
#>  [2383,]    1    1    2    1    1    3    3    3    3
#>  [2384,]    1    1    1    1    1    2    2    2    2
#>  [2385,]    1    2    1    3    1    4    5    6    7
#>  [2386,]    1    1    2    2    2    3    3    3    4
#>  [2387,]    1    2    2    2    3    4    5    5    5
#>  [2388,]    1    2    2    2    2    3    3    3    3
#>  [2389,]    1    1    1    1    1    2    2    2    2
#>  [2390,]    1    1    1    1    1    2    3    2    3
#>  [2391,]    1    1    2    2    2    3    4    5    3
#>  [2392,]    1    1    1    1    1    2    2    2    2
#>  [2393,]    1    1    1    1    1    2    3    3    3
#>  [2394,]    1    1    1    1    1    2    3    3    4
#>  [2395,]    1    1    1    1    1    2    3    2    3
#>  [2396,]    1    1    2    2    1    3    4    5    6
#>  [2397,]    1    1    2    2    2    3    4    3    4
#>  [2398,]    1    1    2    2    2    3    3    4    3
#>  [2399,]    1    1    2    3    1    4    5    4    6
#>  [2400,]    1    2    2    2    2    3    3    4    4
#>  [2401,]    1    2    1    1    1    3    4    4    4
#>  [2402,]    1    1    2    2    2    3    3    3    3
#>  [2403,]    1    1    1    1    1    2    2    2    2
#>  [2404,]    1    1    1    1    1    2    3    2    3
#>  [2405,]    1    2    3    1    1    4    5    6    7
#>  [2406,]    1    1    2    2    1    3    4    3    5
#>  [2407,]    1    1    2    3    1    4    5    5    4
#>  [2408,]    1    1    1    1    1    2    2    2    2
#>  [2409,]    1    1    1    1    1    2    2    2    2
#>  [2410,]    1    1    1    1    1    2    2    2    2
#>  [2411,]    1    1    1    1    1    2    2    2    2
#>  [2412,]    1    1    1    1    1    2    2    2    2
#>  [2413,]    1    2    1    1    1    3    3    4    5
#>  [2414,]    1    2    2    2    1    3    3    4    4
#>  [2415,]    1    1    1    2    1    3    3    3    3
#>  [2416,]    1    1    1    1    1    2    2    2    2
#>  [2417,]    1    2    1    1    3    4    4    4    4
#>  [2418,]    1    1    1    1    1    2    2    2    2
#>  [2419,]    1    1    1    1    1    2    2    2    2
#>  [2420,]    1    2    2    2    2    3    4    4    4
#>  [2421,]    1    1    2    1    2    3    4    3    3
#>  [2422,]    1    1    1    2    2    3    3    3    3
#>  [2423,]    1    2    3    3    1    4    5    5    5
#>  [2424,]    1    1    1    1    2    3    3    3    3
#>  [2425,]    1    1    1    2    3    4    5    5    5
#>  [2426,]    1    2    2    3    2    4    4    4    4
#>  [2427,]    1    1    2    1    1    3    3    3    3
#>  [2428,]    1    1    2    3    2    4    4    4    4
#>  [2429,]    1    2    1    1    3    4    5    4    4
#>  [2430,]    1    2    2    1    2    3    3    3    3
#>  [2431,]    1    2    3    1    4    5    5    5    6
#>  [2432,]    1    2    3    2    4    5    6    7    5
#>  [2433,]    1    2    3    4    5    6    6    7    7
#>  [2434,]    1    1    2    3    3    4    5    5    6
#>  [2435,]    1    2    3    4    2    5    6    6    7
#>  [2436,]    1    1    2    1    2    3    3    4    5
#>  [2437,]    1    1    2    1    1    3    3    4    5
#>  [2438,]    1    2    1    1    3    4    5    6    7
#>  [2439,]    1    2    2    1    1    3    4    5    6
#>  [2440,]    1    1    1    2    1    3    4    3    5
#>  [2441,]    1    1    1    2    1    3    3    3    4
#>  [2442,]    1    2    2    2    2    3    3    3    4
#>  [2443,]    1    1    1    2    1    3    3    3    3
#>  [2444,]    1    1    2    1    2    3    4    4    3
#>  [2445,]    1    1    1    1    1    2    3    4    5
#>  [2446,]    1    2    2    2    2    3    4    5    5
#>  [2447,]    1    1    1    1    1    2    3    3    3
#>  [2448,]    1    1    1    1    1    2    2    2    2
#>  [2449,]    1    1    2    2    2    3    4    3    5
#>  [2450,]    1    1    2    2    1    3    4    3    4
#>  [2451,]    1    1    2    1    1    3    3    3    3
#>  [2452,]    1    2    2    2    2    3    3    3    3
#>  [2453,]    1    1    2    2    2    3    4    4    4
#>  [2454,]    1    1    1    1    1    2    3    2    3
#>  [2455,]    1    2    3    3    3    4    5    6    7
#>  [2456,]    1    2    1    3    2    4    5    6    7
#>  [2457,]    1    2    3    4    5    6    7    8    9
#>  [2458,]    1    2    3    4    4    5    6    7    6
#>  [2459,]    1    2    2    3    4    5    6    7    8
#>  [2460,]    1    2    3    4    5    6    7    8    9
#>  [2461,]    1    2    3    4    1    5    5    6    7
#>  [2462,]    1    2    3    4    5    6    7    6    7
#>  [2463,]    1    2    3    2    4    5    6    7    6
#>  [2464,]    1    2    3    4    5    6    7    8    9
#>  [2465,]    1    2    3    3    2    4    5    5    6
#>  [2466,]    1    1    2    3    4    5    6    7    8
#>  [2467,]    1    1    2    2    2    3    4    4    5
#>  [2468,]    1    1    1    1    1    2    3    3    3
#>  [2469,]    1    1    1    1    1    2    3    3    3
#>  [2470,]    1    2    2    2    2    3    3    3    3
#>  [2471,]    1    1    1    1    1    2    2    3    3
#>  [2472,]    1    1    1    1    1    2    3    2    3
#>  [2473,]    1    1    1    1    1    2    2    2    2
#>  [2474,]    1    1    1    1    1    2    2    2    2
#>  [2475,]    1    1    1    1    1    2    2    2    2
#>  [2476,]    1    1    1    1    1    2    2    2    2
#>  [2477,]    1    1    1    1    1    2    2    2    2
#>  [2478,]    1    1    1    1    1    2    2    2    2
#>  [2479,]    1    1    1    1    1    2    3    2    4
#>  [2480,]    1    1    1    1    1    2    3    4    5
#>  [2481,]    1    1    1    2    2    3    4    5    6
#>  [2482,]    1    1    1    1    1    2    3    4    3
#>  [2483,]    1    1    1    1    1    2    2    2    2
#>  [2484,]    1    2    1    3    1    4    5    6    5
#>  [2485,]    1    2    1    1    3    4    5    5    5
#>  [2486,]    1    2    2    1    1    3    4    5    4
#>  [2487,]    1    2    3    4    5    6    6    6    6
#>  [2488,]    1    2    3    4    5    6    7    8    8
#>  [2489,]    1    2    3    4    1    5    6    5    5
#>  [2490,]    1    1    2    3    4    5    5    5    5
#>  [2491,]    1    2    1    3    1    4    4    4    4
#>  [2492,]    1    1    1    1    1    2    3    4    5
#>  [2493,]    1    2    2    2    2    3    4    5    5
#>  [2494,]    1    1    2    3    2    4    5    5    5
#>  [2495,]    1    2    1    1    3    4    5    6    7
#>  [2496,]    1    2    2    3    3    4    5    6    6
#>  [2497,]    1    2    3    2    1    4    4    4    4
#>  [2498,]    1    1    2    3    2    4    4    4    4
#>  [2499,]    1    1    1    1    1    2    3    3    3
#>  [2500,]    1    1    1    1    2    3    3    4    3
#>  [2501,]    1    2    1    3    2    4    4    4    4
#>  [2502,]    1    2    3    2    1    4    5    5    5
#>  [2503,]    1    1    2    1    1    3    4    4    4
#>  [2504,]    1    1    2    3    3    4    5    5    5
#>  [2505,]    1    2    3    3    4    5    6    5    6
#>  [2506,]    1    2    2    3    4    5    5    5    6
#>  [2507,]    1    2    3    3    4    5    6    7    6
#>  [2508,]    1    2    3    4    2    5    6    7    8
#>  [2509,]    1    2    3    4    4    5    6    7    8
#>  [2510,]    1    2    2    3    4    5    6    6    6
#>  [2511,]    1    2    3    4    5    6    7    8    9
#>  [2512,]    1    2    3    4    5    6    7    8    7
#>  [2513,]    1    2    3    2    4    5    6    7    8
#>  [2514,]    1    2    3    4    4    5    6    6    7
#>  [2515,]    1    2    3    3    2    4    5    6    7
#>  [2516,]    1    2    3    4    5    6    7    8    9
#>  [2517,]    1    2    3    3    4    5    6    7    8
#>  [2518,]    1    2    3    4    1    5    6    7    8
#>  [2519,]    1    2    3    4    5    6    7    7    8
#>  [2520,]    1    2    3    2    4    5    5    6    5
#>  [2521,]    1    1    1    2    1    3    4    3    3
#>  [2522,]    1    1    1    2    2    3    4    4    3
#>  [2523,]    1    1    2    1    2    3    3    3    3
#>  [2524,]    1    2    1    1    1    3    4    3    3
#>  [2525,]    1    2    3    2    4    5    5    6    5
#>  [2526,]    1    1    1    1    1    2    2    3    2
#>  [2527,]    1    1    1    2    2    3    4    5    4
#>  [2528,]    1    1    2    3    1    4    4    5    4
#>  [2529,]    1    2    3    1    2    4    4    4    4
#>  [2530,]    1    1    1    2    2    3    3    4    3
#>  [2531,]    1    2    1    2    3    4    4    4    4
#>  [2532,]    1    2    3    4    3    5    6    6    6
#>  [2533,]    1    1    2    1    1    3    4    3    3
#>  [2534,]    1    2    2    3    2    4    5    5    5
#>  [2535,]    1    1    1    1    1    2    2    2    2
#>  [2536,]    1    2    3    1    1    4    4    4    4
#>  [2537,]    1    2    3    3    2    4    4    4    4
#>  [2538,]    1    2    1    1    1    3    4    3    3
#>  [2539,]    1    1    1    1    1    2    3    3    3
#>  [2540,]    1    1    1    1    1    2    2    2    2
#>  [2541,]    1    1    1    1    1    2    3    2    4
#>  [2542,]    1    2    3    3    3    4    5    6    6
#>  [2543,]    1    2    3    3    4    5    6    6    7
#>  [2544,]    1    2    3    3    4    5    6    7    8
#>  [2545,]    1    2    3    4    5    6    7    6    8
#>  [2546,]    1    2    2    2    3    4    5    6    7
#>  [2547,]    1    1    1    2    3    4    5    4    6
#>  [2548,]    1    2    2    2    2    3    3    4    5
#>  [2549,]    1    2    3    4    5    6    7    8    9
#>  [2550,]    1    1    2    3    4    5    6    7    5
#>  [2551,]    1    2    2    2    3    4    5    5    4
#>  [2552,]    1    2    3    4    2    5    6    7    6
#>  [2553,]    1    1    2    2    3    4    5    6    7
#>  [2554,]    1    2    2    2    2    3    4    4    4
#>  [2555,]    1    2    2    3    2    4    5    6    7
#>  [2556,]    1    1    2    3    4    2    5    6    6
#>  [2557,]    1    2    3    4    2    5    6    7    8
#>  [2558,]    1    2    3    4    5    6    7    8    9
#>  [2559,]    1    2    3    4    5    6    7    6    8
#>  [2560,]    1    2    3    4    5    6    7    8    9
#>  [2561,]    1    2    3    4    5    6    7    8    9
#>  [2562,]    1    2    3    4    5    6    6    7    8
#>  [2563,]    1    2    3    4    5    6    7    8    9
#>  [2564,]    1    2    3    1    4    5    6    7    6
#>  [2565,]    1    2    3    4    5    6    7    8    9
#>  [2566,]    1    2    3    3    4    5    6    7    8
#>  [2567,]    1    2    3    1    4    5    6    5    5
#>  [2568,]    1    2    3    4    5    6    7    8    9
#>  [2569,]    1    2    3    1    4    5    6    5    7
#>  [2570,]    1    1    2    3    2    4    5    6    4
#>  [2571,]    1    2    2    3    3    4    5    6    7
#>  [2572,]    1    2    3    3    4    5    5    5    5
#>  [2573,]    1    1    2    3    4    5    5    5    5
#>  [2574,]    1    1    2    2    1    3    4    5    6
#>  [2575,]    1    1    2    1    2    3    3    4    4
#>  [2576,]    1    2    3    3    3    4    5    5    5
#>  [2577,]    1    2    2    3    4    5    6    6    6
#>  [2578,]    1    2    3    3    4    5    5    6    5
#>  [2579,]    1    2    3    4    5    6    7    6    6
#>  [2580,]    1    2    3    4    5    6    7    6    8
#>  [2581,]    1    2    3    1    4    5    6    7    8
#>  [2582,]    1    1    1    1    1    2    3    4    4
#>  [2583,]    1    2    1    2    2    3    3    4    4
#>  [2584,]    1    1    1    1    1    2    3    4    5
#>  [2585,]    1    1    1    1    1    2    3    3    4
#>  [2586,]    1    2    2    2    3    4    4    5    6
#>  [2587,]    1    2    2    3    2    4    5    6    7
#>  [2588,]    1    2    2    2    3    4    5    6    7
#>  [2589,]    1    2    1    3    4    5    6    7    8
#>  [2590,]    1    2    3    4    5    6    6    7    8
#>  [2591,]    1    2    3    4    2    5    6    7    7
#>  [2592,]    1    2    1    2    1    3    4    5    6
#>  [2593,]    1    2    2    1    3    4    5    6    7
#>  [2594,]    1    1    1    2    3    4    4    4    5
#>  [2595,]    1    2    1    3    2    4    5    5    6
#>  [2596,]    1    2    3    4    2    5    5    5    6
#>  [2597,]    1    2    3    4    5    6    6    6    7
#>  [2598,]    1    2    3    2    4    5    6    7    8
#>  [2599,]    1    2    1    3    4    5    6    7    8
#>  [2600,]    1    1    2    3    2    4    5    6    7
#>  [2601,]    1    2    3    1    4    5    6    7    8
#>  [2602,]    1    2    3    4    5    6    7    8    9
#>  [2603,]    1    2    3    4    5    6    7    8    9
#>  [2604,]    1    2    3    4    5    6    7    8    9
#>  [2605,]    1    1    2    2    2    3    4    4    4
#>  [2606,]    1    1    1    1    1    2    3    3    3
#>  [2607,]    1    1    1    2    1    3    3    3    3
#>  [2608,]    1    1    2    3    2    4    4    4    4
#>  [2609,]    1    1    1    1    2    3    3    3    3
#>  [2610,]    1    2    2    3    3    4    4    4    4
#>  [2611,]    1    1    2    3    3    4    4    4    4
#>  [2612,]    1    2    2    2    2    3    3    4    5
#>  [2613,]    1    1    1    1    1    2    3    4    2
#>  [2614,]    1    1    1    1    2    3    4    3    3
#>  [2615,]    1    1    2    1    2    3    3    3    3
#>  [2616,]    1    1    1    1    1    2    2    2    2
#>  [2617,]    1    1    1    1    1    2    2    2    2
#>  [2618,]    1    2    3    3    1    4    5    5    5
#>  [2619,]    1    1    1    1    1    2    2    2    2
#>  [2620,]    1    1    1    1    1    2    2    2    2
#>  [2621,]    1    1    1    1    1    2    2    2    2
#>  [2622,]    1    1    1    2    3    4    4    4    4
#>  [2623,]    1    1    2    3    4    5    5    5    5
#>  [2624,]    1    2    1    1    3    4    5    4    5
#>  [2625,]    1    1    2    2    3    4    4    5    6
#>  [2626,]    1    2    2    2    2    3    3    4    3
#>  [2627,]    1    1    1    1    1    2    3    3    2
#>  [2628,]    1    1    2    2    1    3    4    4    3
#>  [2629,]    1    2    3    4    5    6    7    8    7
#>  [2630,]    1    1    2    1    1    3    4    5    6
#>  [2631,]    1    2    1    1    1    3    4    5    5
#>  [2632,]    1    1    1    2    1    3    3    3    3
#>  [2633,]    1    1    1    1    1    2    2    2    2
#>  [2634,]    1    1    1    1    1    2    2    2    2
#>  [2635,]    1    1    1    1    1    2    2    2    2
#>  [2636,]    1    1    2    1    1    3    4    5    4
#>  [2637,]    1    2    1    1    2    3    4    4    4
#>  [2638,]    1    1    1    1    1    2    2    2    2
#>  [2639,]    1    1    1    2    2    3    3    3    4
#>  [2640,]    1    1    1    1    1    2    3    2    2
#>  [2641,]    1    1    1    1    1    2    2    2    3
#>  [2642,]    1    1    1    1    1    2    2    3    3
#>  [2643,]    1    1    1    1    1    2    2    3    4
#>  [2644,]    1    1    1    2    2    3    4    5    6
#>  [2645,]    1    2    3    3    1    4    5    5    6
#>  [2646,]    1    2    3    1    1    4    5    6    4
#>  [2647,]    1    2    1    2    3    4    5    6    4
#>  [2648,]    1    2    3    4    2    5    5    5    6
#>  [2649,]    1    2    3    3    4    5    5    6    7
#>  [2650,]    1    2    3    4    5    6    7    8    9
#>  [2651,]    1    2    3    2    4    5    6    7    8
#>  [2652,]    1    2    3    4    2    5    6    7    8
#>  [2653,]    1    2    3    4    2    5    6    7    8
#>  [2654,]    1    2    2    2    3    4    4    5    6
#>  [2655,]    1    2    3    4    2    5    6    7    8
#>  [2656,]    1    2    3    4    5    6    7    8    9
#>  [2657,]    1    2    3    2    2    4    5    4    4
#>  [2658,]    1    2    1    2    3    4    5    6    5
#>  [2659,]    1    1    1    2    2    3    3    3    3
#>  [2660,]    1    1    2    1    1    3    4    4    4
#>  [2661,]    1    2    1    1    1    3    4    4    4
#>  [2662,]    1    2    1    2    3    4    4    4    5
#>  [2663,]    1    2    1    3    4    5    6    6    6
#>  [2664,]    1    1    1    1    2    3    4    3    3
#>  [2665,]    1    1    2    3    2    4    4    5    6
#>  [2666,]    1    2    3    2    3    4    5    6    6
#>  [2667,]    1    2    3    4    5    6    7    8    9
#>  [2668,]    1    2    3    4    5    6    6    7    8
#>  [2669,]    1    2    3    4    5    6    7    8    9
#>  [2670,]    1    2    3    4    5    6    6    7    6
#>  [2671,]    1    2    3    4    5    6    6    7    8
#>  [2672,]    1    2    3    4    5    6    7    7    7
#>  [2673,]    1    1    1    2    1    3    4    5    4
#>  [2674,]    1    2    1    2    2    3    3    4    3
#>  [2675,]    1    1    1    2    1    3    4    4    4
#>  [2676,]    1    2    1    3    3    4    4    4    4
#>  [2677,]    1    2    1    1    1    3    3    4    4
#>  [2678,]    1    1    1    1    1    2    3    4    2
#>  [2679,]    1    1    1    1    1    2    3    2    3
#>  [2680,]    1    1    1    1    1    2    2    3    2
#>  [2681,]    1    2    2    2    2    3    4    4    4
#>  [2682,]    1    1    1    1    1    2    3    2    3
#>  [2683,]    1    1    1    2    3    4    5    6    6
#>  [2684,]    1    1    2    3    1    4    5    4    6
#>  [2685,]    1    2    3    2    4    5    6    7    7
#>  [2686,]    1    2    3    2    4    5    6    7    7
#>  [2687,]    1    1    1    2    3    4    5    6    6
#>  [2688,]    1    1    1    2    3    4    5    5    5
#>  [2689,]    1    1    2    2    2    3    4    4    4
#>  [2690,]    1    2    3    4    4    5    5    5    6
#>  [2691,]    1    2    2    2    2    3    4    5    4
#>  [2692,]    1    1    2    1    1    3    4    4    4
#>  [2693,]    1    1    1    1    1    2    3    2    2
#>  [2694,]    1    1    1    2    3    4    4    5    5
#>  [2695,]    1    2    3    2    4    5    6    5    5
#>  [2696,]    1    2    3    4    1    5    5    5    6
#>  [2697,]    1    2    2    3    3    4    5    6    5
#>  [2698,]    1    1    1    2    3    4    4    5    4
#>  [2699,]    1    1    2    3    1    4    5    5    5
#>  [2700,]    1    1    1    2    3    4    5    6    5
#>  [2701,]    1    1    2    3    4    5    6    7    8
#>  [2702,]    1    1    2    2    1    3    4    5    6
#>  [2703,]    1    2    1    3    1    4    5    5    6
#>  [2704,]    1    2    3    3    1    4    4    5    4
#>  [2705,]    1    2    3    2    4    5    6    5    7
#>  [2706,]    1    2    3    4    5    6    7    8    6
#>  [2707,]    1    2    2    2    3    4    5    6    7
#>  [2708,]    1    1    1    1    2    3    4    4    5
#>  [2709,]    1    2    3    4    5    6    7    8    8
#>  [2710,]    1    2    3    4    5    6    7    8    8
#>  [2711,]    1    1    1    2    3    4    4    5    6
#>  [2712,]    1    1    2    3    4    5    5    6    7
#>  [2713,]    1    1    2    2    3    4    5    5    6
#>  [2714,]    1    1    2    3    3    4    5    5    4
#>  [2715,]    1    2    3    2    2    4    5    6    5
#>  [2716,]    1    2    3    4    5    6    7    8    9
#>  [2717,]    1    2    3    4    3    5    6    5    7
#>  [2718,]    1    2    1    3    4    5    6    7    8
#>  [2719,]    1    2    3    4    3    5    5    5    5
#>  [2720,]    1    1    2    3    4    5    5    5    5
#>  [2721,]    1    2    3    3    4    5    5    5    5
#>  [2722,]    1    2    3    2    4    5    6    5    7
#>  [2723,]    1    2    3    3    4    5    6    6    7
#>  [2724,]    1    2    3    4    2    5    6    6    7
#>  [2725,]    1    2    2    3    4    5    6    7    7
#>  [2726,]    1    1    1    1    2    3    4    5    4
#>  [2727,]    1    2    2    2    3    4    4    4    5
#>  [2728,]    1    2    1    3    1    4    5    6    6
#>  [2729,]    1    2    1    3    4    5    6    6    6
#>  [2730,]    1    2    3    2    4    5    5    6    6
#>  [2731,]    1    1    2    2    1    3    3    4    4
#>  [2732,]    1    2    2    2    1    3    3    3    4
#>  [2733,]    1    2    1    2    2    3    3    3    3
#>  [2734,]    1    1    2    3    1    4    4    4    5
#>  [2735,]    1    1    2    3    3    4    4    4    5
#>  [2736,]    1    1    2    1    2    3    3    4    5
#>  [2737,]    1    2    1    3    4    5    6    7    7
#>  [2738,]    1    2    2    3    4    5    6    7    8
#>  [2739,]    1    2    3    3    4    5    6    7    7
#>  [2740,]    1    1    2    3    2    4    5    6    7
#>  [2741,]    1    2    3    4    5    6    6    7    8
#>  [2742,]    1    2    3    2    4    5    6    6    6
#>  [2743,]    1    2    1    1    2    3    4    4    5
#>  [2744,]    1    2    3    4    5    6    7    8    9
#>  [2745,]    1    2    3    4    5    6    7    8    7
#>  [2746,]    1    2    2    3    4    5    6    7    6
#>  [2747,]    1    2    3    2    4    5    6    7    7
#>  [2748,]    1    1    1    1    2    3    4    5    6
#>  [2749,]    1    2    2    2    2    3    4    5    4
#>  [2750,]    1    2    2    1    2    3    3    3    3
#>  [2751,]    1    1    1    1    1    2    3    3    4
#>  [2752,]    1    1    1    2    1    3    4    5    3
#>  [2753,]    1    1    2    1    1    3    4    5    4
#>  [2754,]    1    1    1    1    2    3    4    5    3
#>  [2755,]    1    2    3    3    4    1    5    5    6
#>  [2756,]    1    2    3    3    4    5    6    7    6
#>  [2757,]    1    2    3    4    5    6    7    8    8
#>  [2758,]    1    2    3    3    1    4    5    6    5
#>  [2759,]    1    2    2    3    2    4    5    6    6
#>  [2760,]    1    1    2    3    4    5    6    5    7
#>  [2761,]    1    2    3    4    5    6    6    7    6
#>  [2762,]    1    2    3    4    2    5    6    7    6
#>  [2763,]    1    1    2    3    1    4    4    5    5
#>  [2764,]    1    2    3    4    5    6    7    8    7
#>  [2765,]    1    1    2    3    4    5    6    5    7
#>  [2766,]    1    2    2    3    4    5    6    7    8
#>  [2767,]    1    2    3    4    5    6    7    8    9
#>  [2768,]    1    1    1    1    2    3    4    5    6
#>  [2769,]    1    1    2    3    4    5    6    7    8
#>  [2770,]    1    1    2    3    3    4    5    6    6
#>  [2771,]    1    2    3    4    4    5    6    6    7
#>  [2772,]    1    2    3    2    4    5    6    7    8
#>  [2773,]    1    2    3    2    4    5    6    7    8
#>  [2774,]    1    1    2    1    3    4    5    5    6
#>  [2775,]    1    1    2    3    2    4    5    5    5
#>  [2776,]    1    1    1    1    1    2    3    4    5
#>  [2777,]    1    2    3    4    5    6    7    8    6
#>  [2778,]    1    2    3    3    2    4    5    5    5
#>  [2779,]    1    2    3    4    5    6    7    7    7
#>  [2780,]    1    2    3    1    4    5    5    6    7
#>  [2781,]    1    2    2    1    2    3    4    5    6
#>  [2782,]    1    2    2    3    4    5    5    6    5
#>  [2783,]    1    2    1    2    2    3    4    3    3
#>  [2784,]    1    1    1    2    1    3    3    3    3
#>  [2785,]    1    2    1    1    2    3    3    3    3
#>  [2786,]    1    1    2    1    2    3    3    3    3
#>  [2787,]    1    2    2    1    2    3    3    3    3
#>  [2788,]    1    1    2    2    2    3    3    3    3
#>  [2789,]    1    2    2    2    2    3    3    3    3
#>  [2790,]    1    1    2    1    2    3    4    5    6
#>  [2791,]    1    1    1    2    1    3    4    5    6
#>  [2792,]    1    2    2    3    4    5    6    7    8
#>  [2793,]    1    2    3    4    5    6    7    6    7
#>  [2794,]    1    2    3    3    4    5    6    6    7
#>  [2795,]    1    1    2    3    4    5    6    7    6
#>  [2796,]    1    2    3    2    1    4    5    6    4
#>  [2797,]    1    1    2    3    2    4    4    5    6
#>  [2798,]    1    1    2    3    1    4    4    5    5
#>  [2799,]    1    2    3    4    3    5    5    6    6
#>  [2800,]    1    2    1    1    3    4    4    4    4
#>  [2801,]    1    2    3    4    2    5    6    7    8
#>  [2802,]    1    2    3    4    5    6    7    8    9
#>  [2803,]    1    2    3    2    2    4    5    4    6
#>  [2804,]    1    1    2    1    1    3    3    4    5
#>  [2805,]    1    1    1    1    1    2    2    3    4
#>  [2806,]    1    2    2    2    2    3    4    3    4
#>  [2807,]    1    1    1    1    2    3    3    3    4
#>  [2808,]    1    1    1    2    2    3    3    3    4
#>  [2809,]    1    2    1    1    2    3    4    4    4
#>  [2810,]    1    2    1    2    1    3    4    3    3
#>  [2811,]    1    2    1    3    4    5    5    5    5
#>  [2812,]    1    2    1    3    4    5    6    7    7
#>  [2813,]    1    2    3    2    3    4    5    6    7
#>  [2814,]    1    2    1    1    3    4    5    5    6
#>  [2815,]    1    2    3    1    1    4    4    4    4
#>  [2816,]    1    2    3    1    1    4    5    4    4
#>  [2817,]    1    2    1    1    1    3    3    3    3
#>  [2818,]    1    1    2    2    2    3    3    3    3
#>  [2819,]    1    1    2    3    3    4    4    5    5
#>  [2820,]    1    2    3    4    5    6    7    6    8
#>  [2821,]    1    2    3    2    4    5    6    5    6
#>  [2822,]    1    1    2    3    1    4    4    5    6
#>  [2823,]    1    2    1    1    1    3    3    3    3
#>  [2824,]    1    1    1    1    1    2    3    3    3
#>  [2825,]    1    1    1    1    1    2    2    2    2
#>  [2826,]    1    1    1    1    1    2    2    2    2
#>  [2827,]    1    1    1    1    1    2    3    2    3
#>  [2828,]    1    1    1    1    1    2    2    3    2
#>  [2829,]    1    1    1    2    2    3    3    4    4
#>  [2830,]    1    2    1    3    4    5    6    6    6
#>  [2831,]    1    2    2    3    4    5    5    5    5
#>  [2832,]    1    2    1    3    4    5    5    5    5
#>  [2833,]    1    2    1    3    3    4    4    4    4
#>  [2834,]    1    2    3    3    4    5    6    7    8
#>  [2835,]    1    2    3    4    1    5    6    7    8
#>  [2836,]    1    1    2    1    3    4    5    6    7
#>  [2837,]    1    2    3    4    5    6    7    8    9
#>  [2838,]    1    2    1    1    3    4    5    6    5
#>  [2839,]    1    2    1    2    3    4    5    6    5
#>  [2840,]    1    1    2    3    4    5    6    7    8
#>  [2841,]    1    2    3    2    4    5    6    7    8
#>  [2842,]    1    2    1    3    4    5    6    7    8
#>  [2843,]    1    2    3    3    3    4    5    6    6
#>  [2844,]    1    2    3    3    4    5    6    7    6
#>  [2845,]    1    2    3    3    4    5    6    7    8
#>  [2846,]    1    2    3    2    4    5    6    7    8
#>  [2847,]    1    2    3    4    5    6    7    8    9
#>  [2848,]    1    2    1    3    1    4    5    6    7
#>  [2849,]    1    2    1    1    2    3    4    5    6
#>  [2850,]    1    1    2    1    1    3    4    5    6
#>  [2851,]    1    2    2    3    4    4    5    6    5
#>  [2852,]    1    1    1    1    1    2    3    3    3
#>  [2853,]    1    1    2    2    2    3    3    4    5
#>  [2854,]    1    1    1    1    2    3    3    4    3
#>  [2855,]    1    1    1    1    1    2    3    4    2
#>  [2856,]    1    1    1    1    1    2    3    3    3
#>  [2857,]    1    2    2    2    2    3    3    3    3
#>  [2858,]    1    1    1    1    1    2    3    2    3
#>  [2859,]    1    1    1    1    1    2    2    3    2
#>  [2860,]    1    2    1    3    2    4    4    4    4
#>  [2861,]    1    2    2    2    1    3    3    3    3
#>  [2862,]    1    2    3    2    3    4    4    4    4
#>  [2863,]    1    1    1    1    1    2    2    2    2
#>  [2864,]    1    1    1    1    2    1    3    3    4
#>  [2865,]    1    2    1    3    3    4    4    4    5
#>  [2866,]    1    1    2    1    2    3    4    4    5
#>  [2867,]    1    1    2    1    1    3    3    4    5
#>  [2868,]    1    1    1    1    1    2    3    4    4
#>  [2869,]    1    2    1    1    3    4    5    5    5
#>  [2870,]    1    2    1    3    1    4    5    6    7
#>  [2871,]    1    1    1    2    1    3    4    4    4
#>  [2872,]    1    2    2    3    4    5    6    7    8
#>  [2873,]    1    2    3    3    1    4    5    5    4
#>  [2874,]    1    2    3    4    5    6    7    8    8
#>  [2875,]    1    2    3    3    3    4    5    6    5
#>  [2876,]    1    2    2    2    3    4    5    4    5
#>  [2877,]    1    2    1    3    4    5    5    6    6
#>  [2878,]    1    2    2    3    3    4    5    4    6
#>  [2879,]    1    1    2    3    1    4    5    4    4
#>  [2880,]    1    2    1    1    2    3    3    3    3
#>  [2881,]    1    1    2    2    3    4    5    5    5
#>  [2882,]    1    2    3    4    1    5    6    6    6
#>  [2883,]    1    2    1    1    3    4    5    6    6
#>  [2884,]    1    1    1    2    1    3    4    4    5
#>  [2885,]    1    2    3    1    4    5    5    6    6
#>  [2886,]    1    2    1    1    1    3    4    5    3
#>  [2887,]    1    1    2    2    3    4    5    6    4
#>  [2888,]    1    1    2    2    2    3    3    4    4
#>  [2889,]    1    1    1    1    1    2    2    3    4
#>  [2890,]    1    1    1    2    2    3    3    4    4
#>  [2891,]    1    2    2    2    2    3    4    5    6
#>  [2892,]    1    1    1    2    2    3    4    5    6
#>  [2893,]    1    2    3    1    1    4    5    6    5
#>  [2894,]    1    2    2    3    4    5    6    7    7
#>  [2895,]    1    1    1    2    2    3    4    5    4
#>  [2896,]    1    1    2    1    1    3    4    5    6
#>  [2897,]    1    1    2    3    1    4    5    5    6
#>  [2898,]    1    1    1    1    1    2    3    3    3
#>  [2899,]    1    1    1    1    1    2    3    3    3
#>  [2900,]    1    1    1    1    1    2    2    2    2
#>  [2901,]    1    1    1    1    1    2    2    2    2
#>  [2902,]    1    1    2    1    1    3    3    3    3
#>  [2903,]    1    1    1    1    1    2    2    2    2
#>  [2904,]    1    1    1    1    1    2    2    2    2
#>  [2905,]    1    1    1    1    1    2    2    2    2
#>  [2906,]    1    1    1    1    1    2    2    2    2
#>  [2907,]    1    1    1    1    1    2    2    2    2
#>  [2908,]    1    1    1    1    1    2    2    2    2
#>  [2909,]    1    1    1    1    1    2    2    2    2
#>  [2910,]    1    1    1    1    1    2    2    2    2
#>  [2911,]    1    1    1    1    1    2    2    2    2
#>  [2912,]    1    2    1    3    2    4    4    4    4
#>  [2913,]    1    1    1    1    1    2    3    2    2
#>  [2914,]    1    1    1    1    1    2    3    3    3
#>  [2915,]    1    1    1    1    1    2    3    4    3
#>  [2916,]    1    2    3    4    5    6    6    7    7
#>  [2917,]    1    1    2    2    2    3    3    4    4
#>  [2918,]    1    1    2    2    2    3    4    5    4
#>  [2919,]    1    1    1    1    1    2    2    2    2
#>  [2920,]    1    1    1    1    1    2    2    2    2
#>  [2921,]    1    2    2    1    1    3    4    4    4
#>  [2922,]    1    2    3    1    1    4    4    4    5
#>  [2923,]    1    2    2    2    3    4    5    6    7
#>  [2924,]    1    1    2    3    4    5    6    6    6
#>  [2925,]    1    2    2    2    2    3    4    5    4
#>  [2926,]    1    2    3    3    2    4    4    5    4
#>  [2927,]    1    2    3    2    4    5    6    6    6
#>  [2928,]    1    1    1    1    1    2    3    3    3
#>  [2929,]    1    1    1    1    1    2    2    2    2
#>  [2930,]    1    1    1    1    2    3    3    3    3
#>  [2931,]    1    2    1    1    1    3    3    3    3
#>  [2932,]    1    1    1    1    2    3    4    4    4
#>  [2933,]    1    1    1    2    1    3    3    3    3
#>  [2934,]    1    1    2    3    4    5    5    5    5
#>  [2935,]    1    2    1    1    1    3    3    3    3
#>  [2936,]    1    2    2    1    1    3    3    3    3
#>  [2937,]    1    2    3    2    3    4    5    5    5
#>  [2938,]    1    2    2    3    2    4    5    5    5
#>  [2939,]    1    1    2    3    4    5    6    6    5
#>  [2940,]    1    1    2    2    2    3    3    3    3
#>  [2941,]    1    2    2    2    2    3    4    5    4
#>  [2942,]    1    2    3    2    4    5    6    7    8
#>  [2943,]    1    1    2    3    2    4    5    5    6
#>  [2944,]    1    2    2    3    3    4    4    4    4
#>  [2945,]    1    2    3    3    4    5    6    6    7
#>  [2946,]    1    2    1    3    4    5    6    5    7
#>  [2947,]    1    2    3    4    4    5    6    7    8
#>  [2948,]    1    1    2    1    3    4    5    6    7
#>  [2949,]    1    2    1    3    4    5    6    7    7
#>  [2950,]    1    2    1    3    4    5    5    5    6
#>  [2951,]    1    1    1    2    3    4    5    6    7
#>  [2952,]    1    1    2    1    3    4    5    5    6
#>  [2953,]    1    2    3    2    3    4    4    4    4
#>  [2954,]    1    1    2    1    1    3    3    3    3
#>  [2955,]    1    1    1    1    2    3    3    3    3
#>  [2956,]    1    2    3    4    2    5    5    5    5
#>  [2957,]    1    2    2    2    1    3    3    3    4
#>  [2958,]    1    2    3    4    3    5    6    7    6
#>  [2959,]    1    2    1    1    1    3    4    5    6
#>  [2960,]    1    1    1    2    1    3    4    5    3
#>  [2961,]    1    2    3    4    4    5    6    5    6
#>  [2962,]    1    2    2    1    1    3    4    3    3
#>  [2963,]    1    1    1    1    1    2    2    2    2
#>  [2964,]    1    1    2    3    3    4    5    6    6
#>  [2965,]    1    1    2    2    1    3    4    5    6
#>  [2966,]    1    2    1    2    3    4    5    6    7
#>  [2967,]    1    1    2    3    2    4    5    6    7
#>  [2968,]    1    1    1    2    2    3    4    5    4
#>  [2969,]    1    1    1    2    3    4    5    6    6
#>  [2970,]    1    1    2    1    2    3    4    4    5
#>  [2971,]    1    2    3    4    5    6    6    6    7
#>  [2972,]    1    2    2    3    2    4    5    4    6
#>  [2973,]    1    2    3    4    2    5    6    7    6
#>  [2974,]    1    1    2    3    4    5    6    5    5
#>  [2975,]    1    2    3    4    5    6    7    8    8
#>  [2976,]    1    2    3    4    4    5    6    5    7
#>  [2977,]    1    2    3    3    3    4    4    4    4
#>  [2978,]    1    2    2    3    2    4    4    5    5
#>  [2979,]    1    1    1    1    1    2    3    2    2
#>  [2980,]    1    1    1    1    1    2    3    2    2
#>  [2981,]    1    2    2    3    4    5    6    6    7
#>  [2982,]    1    2    2    3    2    4    5    5    6
#>  [2983,]    1    2    2    2    3    4    5    5    5
#>  [2984,]    1    2    1    1    1    3    3    3    4
#>  [2985,]    1    1    1    1    1    2    2    2    2
#>  [2986,]    1    1    1    1    1    2    2    2    2
#>  [2987,]    1    1    1    1    1    2    2    2    2
#>  [2988,]    1    2    3    1    1    4    4    4    4
#>  [2989,]    1    2    1    1    1    3    4    4    4
#>  [2990,]    1    1    1    1    1    2    2    2    2
#>  [2991,]    1    1    1    2    2    3    3    3    3
#>  [2992,]    1    1    2    2    2    3    3    3    3
#>  [2993,]    1    2    3    2    4    5    6    6    5
#>  [2994,]    1    2    1    3    4    5    6    7    6
#>  [2995,]    1    2    2    2    2    3    4    5    5
#>  [2996,]    1    2    1    1    2    3    4    3    3
#>  [2997,]    1    2    3    1    1    4    5    4    6
#>  [2998,]    1    2    2    3    3    4    5    6    7
#>  [2999,]    1    1    2    3    2    4    5    4    6
#>  [3000,]    1    2    3    4    4    5    6    7    7
#>  [3001,]    1    2    3    4    2    5    6    7    8
#>  [3002,]    1    2    3    4    3    5    6    5    6
#>  [3003,]    1    2    1    1    1    3    3    3    3
#>  [3004,]    1    1    1    1    2    3    3    3    3
#>  [3005,]    1    1    1    1    2    3    3    3    4
#>  [3006,]    1    1    2    1    1    3    3    4    5
#>  [3007,]    1    2    1    2    2    3    4    5    5
#>  [3008,]    1    1    1    1    1    2    2    2    2
#>  [3009,]    1    2    2    2    3    4    5    5    6
#>  [3010,]    1    1    1    1    1    2    2    3    3
#>  [3011,]    1    1    1    1    1    2    3    3    3
#>  [3012,]    1    1    1    1    2    3    4    4    4
#>  [3013,]    1    2    1    1    3    4    4    4    5
#>  [3014,]    1    1    1    2    1    3    3    3    4
#>  [3015,]    1    1    2    1    1    3    3    3    4
#>  [3016,]    1    1    2    3    1    4    5    6    7
#>  [3017,]    1    1    1    1    2    3    4    3    5
#>  [3018,]    1    1    2    3    4    5    6    7    8
#>  [3019,]    1    1    2    1    3    4    5    6    7
#>  [3020,]    1    2    1    1    2    3    4    4    5
#>  [3021,]    1    1    2    1    2    3    3    4    5
#>  [3022,]    1    2    2    2    2    3    3    4    3
#>  [3023,]    1    1    1    1    1    2    2    2    2
#>  [3024,]    1    1    1    1    1    2    2    2    2
#>  [3025,]    1    1    1    1    2    3    3    3    3
#>  [3026,]    1    1    2    1    2    3    3    3    3
#>  [3027,]    1    2    2    2    1    3    3    3    4
#>  [3028,]    1    1    1    1    1    2    2    3    2
#>  [3029,]    1    1    1    1    1    2    3    3    3
#>  [3030,]    1    1    2    2    1    3    4    4    4
#>  [3031,]    1    1    2    1    1    3    4    4    4
#>  [3032,]    1    1    1    2    1    3    3    4    5
#>  [3033,]    1    1    1    1    1    2    2    3    2
#>  [3034,]    1    1    1    1    1    2    3    4    5
#>  [3035,]    1    1    1    1    1    2    2    3    2
#>  [3036,]    1    1    1    1    1    2    2    3    2
#>  [3037,]    1    1    2    2    2    3    3    3    3
#>  [3038,]    1    2    2    2    3    4    5    5    5
#>  [3039,]    1    2    3    3    3    4    5    4    6
#>  [3040,]    1    2    2    2    2    3    4    5    6
#>  [3041,]    1    2    3    1    1    4    5    6    5
#>  [3042,]    1    2    3    4    2    5    5    6    7
#>  [3043,]    1    2    2    2    3    4    4    5    4
#>  [3044,]    1    2    3    4    5    6    7    7    8
#>  [3045,]    1    1    2    3    2    4    5    6    6
#>  [3046,]    1    2    2    1    1    3    3    3    4
#>  [3047,]    1    1    1    1    1    2    3    2    2
#>  [3048,]    1    1    1    1    1    2    2    2    2
#>  [3049,]    1    1    1    1    1    2    2    2    2
#>  [3050,]    1    1    1    2    1    3    3    3    3
#>  [3051,]    1    2    1    1    1    3    4    4    4
#>  [3052,]    1    2    2    2    1    3    4    4    4
#>  [3053,]    1    2    1    1    3    3    4    4    4
#>  [3054,]    1    2    3    3    4    4    5    6    7
#>  [3055,]    1    2    3    4    5    6    7    7    8
#>  [3056,]    1    2    3    2    4    5    6    5    5
#>  [3057,]    1    2    3    4    5    6    6    7    8
#>  [3058,]    1    2    3    4    5    6    7    8    9
#>  [3059,]    1    2    1    3    1    4    5    6    7
#>  [3060,]    1    1    1    1    2    3    4    3    5
#>  [3061,]    1    1    1    1    1    2    2    2    2
#>  [3062,]    1    1    1    1    1    2    2    2    2
#>  [3063,]    1    1    1    1    1    2    2    2    2
#>  [3064,]    1    2    1    1    1    3    3    3    3
#>  [3065,]    1    2    2    2    2    3    3    3    3
#>  [3066,]    1    1    2    1    3    4    5    4    4
#>  [3067,]    1    2    1    1    1    3    4    5    5
#>  [3068,]    1    2    3    1    1    4    5    5    5
#>  [3069,]    1    2    2    2    2    3    4    3    3
#>  [3070,]    1    1    1    1    1    2    2    3    2
#>  [3071,]    1    1    2    3    2    4    5    6    5
#>  [3072,]    1    1    1    1    1    2    2    3    4
#>  [3073,]    1    1    2    3    2    4    4    5    5
#>  [3074,]    1    2    1    2    3    4    4    4    5
#>  [3075,]    1    1    1    1    1    2    3    4    4
#>  [3076,]    1    1    1    1    1    2    3    2    3
#>  [3077,]    1    2    3    2    2    4    5    6    4
#>  [3078,]    1    2    2    3    4    5    6    7    8
#>  [3079,]    1    1    1    2    1    3    4    4    4
#>  [3080,]    1    1    1    2    1    3    3    3    4
#>  [3081,]    1    2    3    4    5    6    7    6    6
#>  [3082,]    1    1    2    3    4    5    6    7    8
#>  [3083,]    1    2    1    3    4    5    6    5    7
#>  [3084,]    1    2    3    4    3    5    6    7    5
#>  [3085,]    1    2    3    4    2    5    6    7    5
#>  [3086,]    1    2    3    2    3    4    5    6    7
#>  [3087,]    1    1    1    1    2    3    4    5    6
#>  [3088,]    1    1    1    2    1    3    4    4    5
#>  [3089,]    1    2    2    2    2    3    4    5    6
#>  [3090,]    1    2    2    1    2    3    4    5    6
#>  [3091,]    1    2    2    3    1    4    5    4    4
#>  [3092,]    1    1    1    1    1    2    3    3    3
#>  [3093,]    1    1    1    1    1    2    3    3    3
#>  [3094,]    1    1    1    1    1    2    2    2    2
#>  [3095,]    1    1    1    1    1    2    3    2    2
#>  [3096,]    1    1    1    1    1    2    2    2    2
#>  [3097,]    1    1    1    1    1    2    2    2    2
#>  [3098,]    1    1    1    1    1    2    2    2    2
#>  [3099,]    1    1    1    1    1    2    2    2    2
#>  [3100,]    1    1    1    2    3    4    4    4    5
#>  [3101,]    1    1    1    2    3    4    5    6    7
#>  [3102,]    1    1    1    2    3    4    5    6    7
#>  [3103,]    1    1    2    1    1    3    4    5    3
#>  [3104,]    1    1    2    3    4    5    5    6    7
#>  [3105,]    1    2    3    4    5    6    7    8    7
#>  [3106,]    1    2    1    1    1    3    4    5    5
#>  [3107,]    1    2    2    3    1    4    5    6    7
#>  [3108,]    1    2    1    3    4    5    6    7    7
#>  [3109,]    1    1    2    3    4    5    6    7    8
#>  [3110,]    1    2    1    3    4    5    6    7    8
#>  [3111,]    1    2    3    4    5    6    7    7    8
#>  [3112,]    1    1    2    3    4    5    6    7    8
#>  [3113,]    1    2    3    3    4    5    5    6    7
#>  [3114,]    1    2    3    4    5    6    7    8    9
#>  [3115,]    1    2    3    4    2    5    6    6    7
#>  [3116,]    1    2    3    4    5    6    7    8    9
#>  [3117,]    1    1    2    3    4    5    6    7    8
#>  [3118,]    1    2    3    4    5    6    7    8    9
#>  [3119,]    1    2    3    4    4    5    6    7    8
#>  [3120,]    1    2    2    3    2    4    5    6    6
#>  [3121,]    1    1    2    3    4    5    5    6    5
#>  [3122,]    1    1    2    3    3    4    5    6    6
#>  [3123,]    1    2    2    2    1    3    3    3    3
#>  [3124,]    1    1    2    2    3    4    4    4    4
#>  [3125,]    1    1    2    3    1    4    5    5    5
#>  [3126,]    1    1    1    2    3    4    4    5    4
#>  [3127,]    1    2    1    1    1    3    4    4    4
#>  [3128,]    1    1    1    1    1    2    3    2    3
#>  [3129,]    1    1    1    1    1    2    3    3    3
#>  [3130,]    1    1    1    1    1    2    2    2    2
#>  [3131,]    1    1    1    1    2    3    3    3    3
#>  [3132,]    1    2    1    1    1    3    3    4    3
#>  [3133,]    1    2    1    1    1    3    4    4    5
#>  [3134,]    1    1    1    1    2    3    3    3    3
#>  [3135,]    1    1    1    1    1    2    2    2    2
#>  [3136,]    1    1    1    1    1    2    2    2    2
#>  [3137,]    1    1    1    1    1    2    2    2    2
#>  [3138,]    1    1    1    1    1    2    2    2    3
#>  [3139,]    1    1    1    1    1    2    3    3    3
#>  [3140,]    1    1    1    1    1    2    3    3    3
#>  [3141,]    1    1    1    1    1    2    2    2    2
#>  [3142,]    1    1    1    1    1    2    2    2    2
#>  [3143,]    1    1    1    1    1    2    3    3    4
#>  [3144,]    1    2    2    1    2    3    3    3    4
#>  [3145,]    1    1    2    1    2    3    4    3    5
#>  [3146,]    1    1    2    1    3    4    5    4    5
#>  [3147,]    1    2    3    1    4    5    6    5    7
#>  [3148,]    1    2    3    4    4    5    5    6    7
#>  [3149,]    1    1    2    1    3    4    4    5    6
#>  [3150,]    1    1    2    2    3    4    5    6    6
#>  [3151,]    1    2    3    4    5    6    7    7    8
#>  [3152,]    1    2    2    3    3    4    5    5    6
#>  [3153,]    1    2    1    1    3    4    5    6    7
#>  [3154,]    1    2    3    2    2    4    5    5    6
#>  [3155,]    1    1    1    1    1    2    3    4    4
#>  [3156,]    1    1    1    2    1    3    4    5    5
#>  [3157,]    1    1    2    3    2    4    5    5    5
#>  [3158,]    1    2    3    1    1    4    5    6    5
#>  [3159,]    1    2    3    1    1    4    5    6    7
#>  [3160,]    1    2    2    2    2    3    4    3    5
#>  [3161,]    1    1    1    1    1    2    2    2    2
#>  [3162,]    1    1    1    1    1    2    2    2    3
#>  [3163,]    1    1    1    1    2    3    3    3    3
#>  [3164,]    1    1    1    1    1    2    2    2    2
#>  [3165,]    1    1    1    1    2    3    3    3    3
#>  [3166,]    1    1    2    1    2    3    3    3    3
#>  [3167,]    1    2    1    1    2    3    3    3    3
#>  [3168,]    1    1    1    2    3    4    4    4    4
#>  [3169,]    1    2    3    4    4    5    5    5    5
#>  [3170,]    1    2    3    2    3    4    5    6    5
#>  [3171,]    1    2    2    2    2    3    4    5    6
#>  [3172,]    1    2    3    1    2    4    5    6    7
#>  [3173,]    1    2    2    3    4    5    6    7    8
#>  [3174,]    1    2    1    3    2    4    5    6    7
#>  [3175,]    1    1    1    1    1    2    3    4    5
#>  [3176,]    1    2    2    2    2    3    4    3    5
#>  [3177,]    1    1    1    2    3    4    5    5    6
#>  [3178,]    1    2    3    1    3    4    4    4    5
#>  [3179,]    1    2    1    1    3    4    5    6    7
#>  [3180,]    1    2    3    4    5    6    7    8    7
#>  [3181,]    1    2    3    4    5    6    7    8    7
#>  [3182,]    1    1    2    3    4    5    6    5    7
#>  [3183,]    1    1    1    2    3    4    4    4    5
#>  [3184,]    1    2    1    1    1    3    4    3    3
#>  [3185,]    1    1    1    1    1    2    2    2    2
#>  [3186,]    1    1    1    1    1    2    2    3    3
#>  [3187,]    1    1    1    1    2    3    3    3    4
#>  [3188,]    1    1    2    1    3    4    4    4    5
#>  [3189,]    1    1    1    2    1    3    4    4    5
#>  [3190,]    1    1    1    2    1    3    4    5    5
#>  [3191,]    1    2    3    3    4    5    6    5    7
#>  [3192,]    1    2    2    1    3    4    5    5    6
#>  [3193,]    1    2    3    4    5    6    7    8    7
#>  [3194,]    1    2    3    4    5    6    7    8    7
#>  [3195,]    1    2    3    4    5    6    7    8    9
#>  [3196,]    1    2    3    4    5    6    7    8    9
#>  [3197,]    1    1    2    3    2    4    5    6    7
#>  [3198,]    1    2    3    4    4    5    6    5    7
#>  [3199,]    1    2    1    1    3    4    5    6    4
#>  [3200,]    1    2    3    2    4    5    5    6    7
#>  [3201,]    1    2    3    3    3    4    5    6    5
#>  [3202,]    1    2    3    3    2    4    4    4    4
#>  [3203,]    1    2    2    3    3    4    4    5    4
#>  [3204,]    1    2    1    2    1    3    4    5    4
#>  [3205,]    1    2    2    1    3    4    5    4    6
#>  [3206,]    1    2    3    2    3    4    5    4    4
#>  [3207,]    1    2    2    3    3    4    4    4    4
#>  [3208,]    1    2    2    2    2    3    3    4    3
#>  [3209,]    1    2    3    1    2    4    5    6    6
#>  [3210,]    1    2    3    4    2    5    6    6    6
#>  [3211,]    1    2    3    2    2    4    5    5    5
#>  [3212,]    1    1    1    1    1    2    3    3    3
#>  [3213,]    1    2    1    1    1    3    4    4    4
#>  [3214,]    1    1    1    1    1    2    3    3    3
#>  [3215,]    1    1    1    1    1    2    2    2    2
#>  [3216,]    1    1    2    1    1    3    4    5    5
#>  [3217,]    1    2    2    2    1    3    3    4    4
#>  [3218,]    1    1    2    2    3    4    4    4    4
#>  [3219,]    1    2    3    3    4    5    6    6    6
#>  [3220,]    1    1    2    2    3    4    4    4    5
#>  [3221,]    1    2    1    3    1    4    5    6    5
#>  [3222,]    1    2    1    1    1    3    4    4    5
#>  [3223,]    1    2    2    2    2    3    3    3    3
#>  [3224,]    1    1    1    1    1    2    3    2    2
#>  [3225,]    1    1    1    1    1    2    3    2    3
#>  [3226,]    1    2    2    2    2    3    4    5    4
#>  [3227,]    1    2    1    1    1    3    4    5    5
#>  [3228,]    1    2    3    3    4    5    6    7    6
#>  [3229,]    1    2    3    4    5    6    6    6    6
#>  [3230,]    1    1    1    1    2    3    3    3    3
#>  [3231,]    1    1    1    1    1    2    2    2    2
#>  [3232,]    1    1    1    1    1    2    2    2    2
#>  [3233,]    1    1    1    1    2    3    4    4    4
#>  [3234,]    1    2    3    3    2    4    5    5    5
#>  [3235,]    1    2    3    2    4    5    6    6    6
#>  [3236,]    1    2    3    3    4    5    5    5    5
#>  [3237,]    1    1    2    2    2    3    3    3    4
#>  [3238,]    1    1    2    1    2    3    4    4    4
#>  [3239,]    1    2    1    1    2    3    3    3    4
#>  [3240,]    1    1    1    1    1    2    3    4    4
#>  [3241,]    1    1    1    1    1    2    3    3    4
#>  [3242,]    1    1    1    1    2    3    3    3    3
#>  [3243,]    1    1    1    1    2    3    4    3    5
#>  [3244,]    1    1    1    2    3    4    5    6    6
#>  [3245,]    1    2    3    4    5    6    7    8    9
#>  [3246,]    1    2    3    4    5    6    7    8    6
#>  [3247,]    1    2    3    4    5    6    7    6    7
#>  [3248,]    1    2    3    2    2    4    5    5    5
#>  [3249,]    1    2    3    2    3    4    5    6    5
#>  [3250,]    1    1    2    1    3    4    5    6    6
#>  [3251,]    1    2    3    4    4    5    6    5    6
#>  [3252,]    1    2    3    4    5    6    7    8    8
#>  [3253,]    1    2    3    4    5    6    7    7    7
#>  [3254,]    1    2    3    4    5    6    7    8    7
#>  [3255,]    1    2    3    4    5    6    6    6    6
#>  [3256,]    1    2    3    4    5    6    6    6    6
#>  [3257,]    1    2    3    2    3    4    5    6    6
#>  [3258,]    1    2    1    1    1    3    4    4    4
#>  [3259,]    1    1    1    1    2    3    4    4    4
#>  [3260,]    1    1    1    2    1    3    4    3    5
#>  [3261,]    1    2    3    2    2    4    5    5    4
#>  [3262,]    1    1    1    1    2    3    4    4    4
#>  [3263,]    1    2    2    3    4    5    6    7    8
#>  [3264,]    1    1    2    1    1    3    4    4    4
#>  [3265,]    1    1    2    1    3    4    5    5    6
#>  [3266,]    1    2    2    1    3    4    4    5    6
#>  [3267,]    1    2    3    3    4    5    6    7    8
#>  [3268,]    1    2    2    2    3    4    5    6    7
#>  [3269,]    1    1    2    1    2    3    4    5    6
#>  [3270,]    1    1    1    2    2    3    4    4    5
#>  [3271,]    1    1    1    2    1    3    4    4    4
#>  [3272,]    1    1    2    2    3    4    4    4    4
#>  [3273,]    1    2    3    1    1    4    4    5    6
#>  [3274,]    1    2    3    4    5    6    7    7    8
#>  [3275,]    1    2    3    2    4    5    5    5    6
#>  [3276,]    1    2    2    2    3    4    5    5    5
#>  [3277,]    1    2    3    4    3    5    6    7    8
#>  [3278,]    1    2    2    3    3    4    5    6    5
#>  [3279,]    1    2    3    4    3    5    5    6    5
#>  [3280,]    1    2    1    2    2    3    4    5    6
#>  [3281,]    1    2    1    1    1    3    4    5    6
#>  [3282,]    1    2    2    3    3    4    5    6    7
#>  [3283,]    1    2    3    1    4    5    6    7    8
#>  [3284,]    1    2    3    4    5    6    7    8    9
#>  [3285,]    1    2    1    3    4    5    6    7    8
#>  [3286,]    1    2    3    4    5    6    6    7    6
#>  [3287,]    1    2    3    4    5    6    7    8    9
#>  [3288,]    1    2    3    4    5    6    7    8    9
#>  [3289,]    1    2    3    2    1    4    5    6    5
#>  [3290,]    1    1    2    1    2    3    4    5    5
#>  [3291,]    1    1    1    2    3    4    5    5    5
#>  [3292,]    1    1    2    3    3    4    4    5    6
#>  [3293,]    1    2    2    2    3    4    4    5    5
#>  [3294,]    1    1    2    1    3    4    5    6    7
#>  [3295,]    1    1    2    2    2    3    4    5    4
#>  [3296,]    1    1    1    1    1    2    3    4    3
#>  [3297,]    1    1    1    1    1    2    2    2    2
#>  [3298,]    1    1    2    2    2    3    3    3    3
#>  [3299,]    1    2    3    3    3    4    5    4    6
#>  [3300,]    1    2    3    1    3    4    5    6    6
#>  [3301,]    1    1    2    1    1    3    4    5    5
#>  [3302,]    1    2    1    2    3    4    5    5    6
#>  [3303,]    1    2    1    3    3    4    5    6    5
#>  [3304,]    1    2    2    2    3    4    4    5    4
#>  [3305,]    1    2    1    1    1    3    4    3    4
#>  [3306,]    1    1    1    1    2    3    3    3    3
#>  [3307,]    1    1    1    1    1    2    2    2    3
#>  [3308,]    1    2    1    1    1    3    4    4    4
#>  [3309,]    1    2    2    2    2    3    3    4    3
#>  [3310,]    1    2    1    2    2    3    4    5    4
#>  [3311,]    1    2    3    4    5    6    7    7    7
#>  [3312,]    1    2    3    1    4    5    6    7    8
#>  [3313,]    1    2    3    4    1    5    6    7    8
#>  [3314,]    1    2    3    4    1    5    6    7    8
#>  [3315,]    1    1    2    3    3    4    5    6    7
#>  [3316,]    1    2    3    4    3    5    6    6    7
#>  [3317,]    1    2    2    2    2    3    3    4    5
#>  [3318,]    1    2    2    3    4    5    6    7    8
#>  [3319,]    1    2    3    1    4    5    6    7    8
#>  [3320,]    1    2    3    4    5    6    7    8    9
#>  [3321,]    1    2    3    3    3    4    5    6    7
#>  [3322,]    1    2    3    4    5    6    7    8    8
#>  [3323,]    1    2    2    3    4    5    6    6    6
#>  [3324,]    1    2    3    3    4    5    5    5    6
#>  [3325,]    1    1    1    1    1    2    3    4    3
#>  [3326,]    1    1    1    1    1    2    3    3    3
#>  [3327,]    1    1    1    1    1    2    3    3    4
#>  [3328,]    1    1    1    2    1    3    3    3    3
#>  [3329,]    1    2    3    3    3    4    4    4    4
#>  [3330,]    1    1    1    1    1    2    3    3    3
#>  [3331,]    1    2    1    3    1    4    4    5    6
#>  [3332,]    1    2    2    2    3    4    5    5    6
#>  [3333,]    1    2    3    3    3    4    5    6    5
#>  [3334,]    1    1    1    1    1    2    3    3    4
#>  [3335,]    1    2    3    4    5    6    7    6    7
#>  [3336,]    1    2    3    4    5    6    7    8    6
#>  [3337,]    1    1    2    3    4    5    6    7    8
#>  [3338,]    1    2    2    3    4    5    6    7    8
#>  [3339,]    1    2    2    2    2    3    4    5    6
#>  [3340,]    1    2    1    1    2    3    4    4    5
#>  [3341,]    1    2    1    1    2    3    3    4    4
#>  [3342,]    1    2    3    4    2    5    6    7    7
#>  [3343,]    1    2    2    3    3    4    5    6    7
#>  [3344,]    1    2    3    2    1    4    5    6    7
#>  [3345,]    1    2    2    1    2    3    4    4    5
#>  [3346,]    1    2    3    4    4    5    5    6    5
#>  [3347,]    1    2    3    2    4    5    6    6    7
#>  [3348,]    1    1    2    3    3    4    5    5    5
#>  [3349,]    1    2    3    3    3    4    4    4    4
#>  [3350,]    1    2    3    4    2    5    6    7    8
#>  [3351,]    1    2    3    2    2    4    5    5    4
#>  [3352,]    1    1    2    2    2    3    3    4    3
#>  [3353,]    1    2    2    2    2    3    4    4    5
#>  [3354,]    1    1    2    1    2    3    4    4    4
#>  [3355,]    1    1    2    3    1    4    5    6    5
#>  [3356,]    1    2    3    3    3    4    5    6    7
#>  [3357,]    1    2    1    1    1    3    4    5    3
#>  [3358,]    1    2    3    3    4    5    5    5    6
#>  [3359,]    1    2    1    1    3    4    5    6    6
#>  [3360,]    1    1    2    1    2    3    3    4    5
#>  [3361,]    1    1    1    2    3    4    5    6    7
#>  [3362,]    1    1    2    3    1    4    5    6    7
#>  [3363,]    1    2    3    4    3    5    6    6    7
#>  [3364,]    1    1    1    2    2    3    4    3    5
#>  [3365,]    1    2    3    3    2    4    5    4    6
#>  [3366,]    1    2    3    1    1    4    5    6    7
#>  [3367,]    1    2    3    1    4    5    6    7    8
#>  [3368,]    1    2    3    4    1    5    6    7    8
#>  [3369,]    1    2    3    4    5    6    7    6    8
#>  [3370,]    1    1    1    2    2    3    3    3    4
#>  [3371,]    1    1    2    1    2    3    3    3    4
#>  [3372,]    1    1    2    3    3    4    5    6    5
#>  [3373,]    1    1    1    2    1    3    3    3    3
#>  [3374,]    1    2    2    2    2    3    3    3    3
#>  [3375,]    1    1    1    1    1    2    3    2    2
#>  [3376,]    1    1    1    2    3    4    4    4    4
#>  [3377,]    1    2    2    2    2    3    3    3    4
#>  [3378,]    1    2    1    1    1    3    4    5    5
#>  [3379,]    1    2    3    3    4    5    6    6    6
#>  [3380,]    1    1    2    3    3    4    4    4    5
#>  [3381,]    1    1    1    2    1    3    4    5    3
#>  [3382,]    1    1    1    2    3    4    4    4    4
#>  [3383,]    1    1    1    2    2    3    3    3    3
#>  [3384,]    1    2    3    3    3    4    4    4    4
#>  [3385,]    1    1    1    2    1    3    4    5    4
#>  [3386,]    1    2    1    2    1    3    3    3    4
#>  [3387,]    1    1    2    1    2    3    3    3    4
#>  [3388,]    1    1    2    3    2    4    5    6    7
#>  [3389,]    1    2    3    3    3    4    5    6    5
#>  [3390,]    1    2    3    4    2    5    5    5    6
#>  [3391,]    1    1    2    2    3    4    5    5    6
#>  [3392,]    1    2    3    4    4    5    6    7    8
#>  [3393,]    1    2    3    4    5    6    6    6    7
#>  [3394,]    1    2    3    4    5    6    7    7    7
#>  [3395,]    1    2    2    2    1    3    4    4    5
#>  [3396,]    1    2    1    1    2    3    4    4    5
#>  [3397,]    1    2    2    2    3    4    5    6    6
#>  [3398,]    1    1    1    1    1    2    3    4    4
#>  [3399,]    1    2    3    4    1    5    6    6    7
#>  [3400,]    1    2    1    3    4    5    6    7    7
#>  [3401,]    1    1    2    1    1    3    3    4    5
#>  [3402,]    1    1    2    2    3    4    5    6    7
#>  [3403,]    1    2    3    4    5    6    7    7    8
#>  [3404,]    1    2    3    4    5    6    7    8    8
#>  [3405,]    1    2    3    2    4    5    6    7    6
#>  [3406,]    1    1    2    3    2    4    5    6    5
#>  [3407,]    1    2    1    2    1    3    4    5    6
#>  [3408,]    1    1    1    1    2    3    4    5    5
#>  [3409,]    1    1    1    2    1    3    4    5    6
#>  [3410,]    1    1    2    3    1    4    5    6    5
#>  [3411,]    1    2    3    3    3    4    5    5    5
#>  [3412,]    1    2    3    3    4    5    6    6    7
#>  [3413,]    1    1    2    3    1    4    5    5    5
#>  [3414,]    1    1    2    3    4    5    6    5    5
#>  [3415,]    1    2    3    4    3    5    6    6    6
#>  [3416,]    1    2    2    3    4    5    5    5    6
#>  [3417,]    1    2    3    4    3    5    6    5    7
#>  [3418,]    1    1    1    2    3    4    5    6    7
#>  [3419,]    1    2    3    1    4    2    5    6    7
#>  [3420,]    1    1    2    3    4    5    6    7    8
#>  [3421,]    1    2    3    4    2    5    6    7    6
#>  [3422,]    1    2    3    3    1    4    5    4    6
#>  [3423,]    1    2    3    4    4    5    6    7    8
#>  [3424,]    1    2    3    3    3    4    5    6    6
#>  [3425,]    1    1    1    1    1    2    3    4    5
#>  [3426,]    1    2    2    1    2    3    3    3    4
#>  [3427,]    1    2    3    4    5    6    7    6    8
#>  [3428,]    1    1    1    1    1    2    3    4    5
#>  [3429,]    1    1    1    2    3    4    5    4    4
#>  [3430,]    1    1    2    1    1    3    4    3    5
#>  [3431,]    1    2    1    2    3    4    5    4    5
#>  [3432,]    1    2    1    2    2    3    4    4    5
#>  [3433,]    1    2    1    3    4    5    6    5    5
#>  [3434,]    1    1    1    2    3    4    5    6    4
#>  [3435,]    1    2    3    2    2    4    5    6    5
#>  [3436,]    1    2    1    2    1    3    4    5    6
#>  [3437,]    1    1    2    2    2    3    4    5    6
#>  [3438,]    1    2    2    3    4    5    6    7    8
#>  [3439,]    1    2    2    3    3    4    5    6    7
#>  [3440,]    1    1    2    1    3    4    5    5    6
#>  [3441,]    1    1    2    1    2    3    4    4    5
#>  [3442,]    1    1    1    1    1    2    3    3    4
#>  [3443,]    1    1    1    2    2    3    4    5    6
#>  [3444,]    1    1    2    3    1    4    5    5    5
#>  [3445,]    1    2    2    3    1    4    5    5    5
#>  [3446,]    1    2    1    3    3    4    4    4    5
#>  [3447,]    1    2    2    3    2    4    4    5    6
#>  [3448,]    1    2    3    2    2    4    4    5    5
#>  [3449,]    1    1    2    1    1    3    3    3    4
#>  [3450,]    1    2    2    3    2    4    4    5    5
#>  [3451,]    1    1    2    1    1    3    3    3    3
#>  [3452,]    1    1    2    1    2    3    3    3    3
#>  [3453,]    1    2    3    3    3    4    4    4    4
#>  [3454,]    1    2    3    4    2    5    6    6    7
#>  [3455,]    1    1    2    3    4    5    6    7    8
#>  [3456,]    1    2    3    3    4    5    6    6    7
#>  [3457,]    1    2    2    3    4    5    5    6    5
#>  [3458,]    1    2    3    1    1    4    5    6    6
#>  [3459,]    1    1    2    1    2    3    4    4    4
#>  [3460,]    1    1    1    1    1    2    3    4    4
#>  [3461,]    1    1    2    3    2    4    5    5    5
#>  [3462,]    1    2    3    2    2    4    4    4    4
#>  [3463,]    1    1    1    1    1    2    2    2    3
#>  [3464,]    1    1    1    1    2    3    4    4    4
#>  [3465,]    1    2    2    1    2    3    4    3    5
#>  [3466,]    1    2    3    3    1    4    4    5    6
#>  [3467,]    1    1    1    1    1    2    3    2    2
#>  [3468,]    1    1    1    1    2    3    4    3    3
#>  [3469,]    1    1    1    1    1    2    2    2    3
#>  [3470,]    1    1    1    1    2    3    4    4    4
#>  [3471,]    1    1    1    2    1    3    3    3    3
#>  [3472,]    1    2    1    1    1    3    4    3    4
#>  [3473,]    1    1    2    2    1    3    3    3    4
#>  [3474,]    1    1    1    2    1    3    4    4    4
#>  [3475,]    1    2    1    1    1    3    4    5    4
#>  [3476,]    1    2    2    1    1    3    4    5    4
#>  [3477,]    1    2    1    1    1    3    4    5    4
#>  [3478,]    1    2    1    2    1    3    4    5    6
#>  [3479,]    1    2    3    4    1    5    5    5    6
#>  [3480,]    1    2    2    1    3    4    5    4    6
#>  [3481,]    1    2    2    2    2    3    4    4    4
#>  [3482,]    1    1    1    1    1    2    2    2    2
#>  [3483,]    1    1    1    1    1    2    3    2    3
#>  [3484,]    1    1    1    1    2    3    4    4    4
#>  [3485,]    1    1    1    1    1    2    2    2    2
#>  [3486,]    1    1    1    1    1    2    2    3    2
#>  [3487,]    1    1    1    1    2    3    4    5    5
#>  [3488,]    1    2    3    1    1    4    5    4    6
#>  [3489,]    1    1    1    1    1    2    3    4    3
#>  [3490,]    1    2    2    2    2    3    3    4    3
#>  [3491,]    1    1    1    1    1    2    2    2    2
#>  [3492,]    1    1    1    1    1    2    2    2    2
#>  [3493,]    1    1    1    1    1    2    2    2    2
#>  [3494,]    1    1    1    1    1    2    2    2    2
#>  [3495,]    1    1    1    1    1    2    2    2    2
#>  [3496,]    1    2    3    3    4    5    5    5    6
#>  [3497,]    1    2    1    3    4    5    5    6    5
#>  [3498,]    1    2    2    3    3    4    5    4    5
#>  [3499,]    1    1    2    1    1    3    4    4    3
#>  [3500,]    1    1    2    2    1    3    4    3    3
#>  [3501,]    1    1    2    2    3    4    5    5    6
#>  [3502,]    1    2    2    1    2    3    3    3    3
#>  [3503,]    1    2    2    2    2    3    4    4    4
#>  [3504,]    1    1    2    2    1    3    3    3    4
#>  [3505,]    1    1    1    2    3    4    4    5    6
#>  [3506,]    1    2    1    3    2    4    4    5    5
#>  [3507,]    1    1    1    2    3    4    5    5    6
#>  [3508,]    1    1    1    2    1    3    4    4    4
#>  [3509,]    1    1    1    2    1    3    3    3    3
#>  [3510,]    1    2    3    1    4    1    5    6    6
#>  [3511,]    1    1    1    1    1    2    3    4    4
#>  [3512,]    1    2    2    2    1    3    3    4    4
#>  [3513,]    1    1    1    2    2    3    3    3    3
#>  [3514,]    1    1    2    1    1    3    3    3    3
#>  [3515,]    1    1    2    1    1    3    3    3    3
#>  [3516,]    1    1    1    2    1    3    3    3    4
#>  [3517,]    1    1    1    1    1    2    3    2    4
#>  [3518,]    1    1    1    1    1    2    3    2    2
#>  [3519,]    1    1    1    1    1    2    3    2    2
#>  [3520,]    1    1    1    2    1    3    4    5    5
#>  [3521,]    1    2    1    3    4    5    6    7    8
#>  [3522,]    1    2    3    4    5    6    7    6    7
#>  [3523,]    1    2    3    1    4    5    6    7    8
#>  [3524,]    1    1    2    3    3    4    5    6    7
#>  [3525,]    1    2    3    2    4    5    6    7    7
#>  [3526,]    1    2    3    4    4    5    6    6    6
#>  [3527,]    1    2    3    4    3    5    6    6    7
#>  [3528,]    1    2    1    3    4    5    6    5    5
#>  [3529,]    1    2    3    4    5    6    7    7    7
#>  [3530,]    1    2    3    4    2    5    5    6    5
#>  [3531,]    1    1    2    3    1    4    5    6    7
#>  [3532,]    1    1    2    1    1    3    4    5    6
#>  [3533,]    1    2    3    4    1    5    6    5    7
#>  [3534,]    1    2    2    3    2    4    4    4    5
#>  [3535,]    1    2    3    2    4    5    6    5    7
#>  [3536,]    1    1    2    3    3    4    4    5    6
#>  [3537,]    1    2    3    3    4    5    5    6    7
#>  [3538,]    1    1    1    1    1    2    3    4    2
#>  [3539,]    1    1    1    1    1    2    3    3    2
#>  [3540,]    1    1    1    1    2    3    4    5    5
#>  [3541,]    1    1    2    1    1    3    4    4    5
#>  [3542,]    1    1    2    3    1    4    4    4    5
#>  [3543,]    1    1    1    2    1    3    3    4    3
#>  [3544,]    1    1    1    1    1    2    3    4    4
#>  [3545,]    1    1    2    2    2    3    4    5    6
#>  [3546,]    1    2    3    4    5    6    7    8    9
#>  [3547,]    1    2    3    2    4    5    6    7    7
#>  [3548,]    1    1    2    1    1    3    4    4    5
#>  [3549,]    1    2    3    4    4    5    5    5    5
#>  [3550,]    1    2    3    3    3    4    5    6    5
#>  [3551,]    1    2    2    2    2    3    4    5    4
#>  [3552,]    1    2    3    2    2    4    5    6    6
#>  [3553,]    1    1    1    1    1    2    2    2    2
#>  [3554,]    1    1    2    2    1    3    3    3    4
#>  [3555,]    1    1    1    2    1    3    4    5    4
#>  [3556,]    1    2    3    2    2    4    4    5    4
#>  [3557,]    1    1    1    2    1    3    4    5    4
#>  [3558,]    1    2    1    3    2    4    4    5    6
#>  [3559,]    1    2    1    1    1    3    4    4    5
#>  [3560,]    1    2    1    2    2    3    4    4    3
#>  [3561,]    1    2    1    3    3    4    4    4    5
#>  [3562,]    1    2    3    3    3    4    5    5    5
#>  [3563,]    1    1    1    2    1    3    4    4    4
#>  [3564,]    1    1    1    1    1    2    2    2    2
#>  [3565,]    1    1    2    1    1    3    3    3    3
#>  [3566,]    1    2    2    2    1    3    4    3    5
#>  [3567,]    1    1    1    2    1    3    4    3    4
#>  [3568,]    1    2    3    1    4    5    6    5    5
#>  [3569,]    1    2    3    4    5    6    6    6    6
#>  [3570,]    1    1    2    3    4    5    5    6    6
#>  [3571,]    1    2    2    3    4    5    6    5    6
#>  [3572,]    1    1    1    2    1    3    4    4    5
#>  [3573,]    1    1    2    1    1    3    3    3    3
#>  [3574,]    1    2    1    2    1    3    4    3    3
#>  [3575,]    1    2    1    1    3    4    5    6    5
#>  [3576,]    1    2    2    1    1    3    4    5    4
#>  [3577,]    1    2    1    1    3    4    4    4    4
#>  [3578,]    1    1    1    1    1    2    2    2    2
#>  [3579,]    1    1    1    1    1    2    2    2    2
#>  [3580,]    1    2    2    2    2    3    3    3    3
#>  [3581,]    1    1    2    3    3    4    4    4    4
#>  [3582,]    1    2    3    3    1    4    4    5    5
#>  [3583,]    1    2    2    3    4    5    6    5    6
#>  [3584,]    1    1    1    2    1    3    4    5    4
#>  [3585,]    1    2    2    1    1    3    4    5    6
#>  [3586,]    1    2    3    4    4    5    6    6    7
#>  [3587,]    1    2    3    1    1    4    5    6    6
#>  [3588,]    1    2    3    2    4    5    6    7    8
#>  [3589,]    1    1    1    2    3    4    5    6    7
#>  [3590,]    1    1    1    1    1    2    3    4    5
#>  [3591,]    1    1    1    2    1    3    4    5    6
#>  [3592,]    1    2    3    4    5    6    7    8    9
#>  [3593,]    1    2    3    4    4    5    6    7    8
#>  [3594,]    1    1    2    3    4    5    5    6    7
#>  [3595,]    1    2    3    2    2    4    5    5    6
#>  [3596,]    1    2    3    4    5    6    7    8    7
#>  [3597,]    1    1    1    1    2    3    4    5    4
#>  [3598,]    1    2    3    4    5    6    7    8    9
#>  [3599,]    1    2    3    4    5    6    7    8    9
#>  [3600,]    1    2    3    4    5    6    7    8    6
#>  [3601,]    1    2    1    2    3    4    4    5    4
#>  [3602,]    1    1    1    2    3    4    5    4    5
#>  [3603,]    1    1    1    1    1    2    3    3    3
#>  [3604,]    1    1    1    1    1    2    3    4    3
#>  [3605,]    1    1    2    3    3    4    5    5    5
#>  [3606,]    1    2    1    1    1    3    4    5    4
#>  [3607,]    1    2    1    1    1    3    4    3    5
#>  [3608,]    1    1    2    1    1    3    3    3    3
#>  [3609,]    1    1    1    1    1    2    3    4    5
#>  [3610,]    1    2    3    2    2    4    4    5    5
#>  [3611,]    1    1    2    2    3    4    5    5    5
#>  [3612,]    1    2    3    4    5    6    7    7    7
#>  [3613,]    1    2    3    4    4    5    5    5    5
#>  [3614,]    1    2    3    1    4    5    5    5    5
#>  [3615,]    1    2    3    2    3    4    4    4    4
#>  [3616,]    1    2    3    3    3    4    5    6    7
#>  [3617,]    1    2    3    3    3    4    5    5    6
#>  [3618,]    1    1    1    1    1    2    2    2    3
#>  [3619,]    1    1    2    3    3    4    5    5    6
#>  [3620,]    1    2    2    2    2    3    4    4    5
#>  [3621,]    1    2    2    3    2    4    4    5    5
#>  [3622,]    1    1    2    2    1    3    4    3    4
#>  [3623,]    1    1    2    3    4    5    5    5    5
#>  [3624,]    1    1    1    1    1    2    2    2    3
#>  [3625,]    1    1    1    1    1    2    3    3    3
#>  [3626,]    1    2    3    3    4    5    6    6    6
#>  [3627,]    1    2    3    4    5    6    7    7    7
#>  [3628,]    1    2    3    2    3    4    5    5    6
#>  [3629,]    1    2    3    2    3    4    4    5    6
#>  [3630,]    1    2    1    1    1    3    4    5    4
#>  [3631,]    1    1    2    1    3    4    5    6    5
#>  [3632,]    1    1    1    2    3    4    5    6    5
#>  [3633,]    1    2    2    3    4    5    6    7    8
#>  [3634,]    1    2    3    4    5    6    6    6    6
#>  [3635,]    1    2    3    4    5    6    7    6    6
#>  [3636,]    1    1    2    1    3    4    5    6    7
#>  [3637,]    1    1    2    1    3    4    5    6    7
#>  [3638,]    1    2    3    1    4    5    6    6    5
#>  [3639,]    1    1    2    3    2    4    5    6    7
#>  [3640,]    1    2    2    2    3    4    5    6    7
#>  [3641,]    1    1    2    3    2    4    5    4    6
#>  [3642,]    1    2    3    4    5    6    6    6    7
#>  [3643,]    1    2    1    3    1    4    5    6    7
#>  [3644,]    1    2    3    4    1    5    6    7    8
#>  [3645,]    1    2    3    4    1    5    6    7    7
#>  [3646,]    1    1    2    3    4    5    6    7    7
#>  [3647,]    1    2    3    4    5    6    7    7    8
#>  [3648,]    1    2    3    4    5    6    7    8    7
#>  [3649,]    1    2    3    3    4    5    6    5    7
#>  [3650,]    1    2    3    2    4    5    5    5    6
#>  [3651,]    1    1    2    2    2    3    4    3    4
#>  [3652,]    1    2    2    2    1    3    4    5    4
#>  [3653,]    1    2    2    2    1    3    3    3    4
#>  [3654,]    1    1    2    1    2    3    4    5    6
#>  [3655,]    1    2    2    2    2    3    3    3    4
#>  [3656,]    1    2    2    2    2    3    4    4    5
#>  [3657,]    1    1    1    2    2    3    4    5    5
#>  [3658,]    1    2    3    2    4    5    5    5    5
#>  [3659,]    1    2    1    2    3    4    4    4    4
#>  [3660,]    1    1    2    3    2    4    4    4    5
#>  [3661,]    1    1    1    2    2    3    4    3    3
#>  [3662,]    1    1    2    3    2    4    4    4    4
#>  [3663,]    1    2    1    1    3    4    5    4    4
#>  [3664,]    1    2    1    3    1    4    4    5    4
#>  [3665,]    1    2    3    3    4    5    6    5    7
#>  [3666,]    1    2    1    3    4    5    6    7    6
#>  [3667,]    1    2    3    4    4    5    6    7    8
#>  [3668,]    1    2    2    2    2    3    4    5    6
#>  [3669,]    1    2    3    3    4    5    6    7    6
#>  [3670,]    1    1    2    3    3    4    5    4    6
#>  [3671,]    1    1    2    3    2    4    5    5    5
#>  [3672,]    1    1    2    3    3    4    5    6    5
#>  [3673,]    1    2    3    2    4    5    5    5    6
#>  [3674,]    1    1    2    3    4    5    5    5    6
#>  [3675,]    1    2    1    1    3    4    4    4    4
#>  [3676,]    1    2    3    4    1    5    5    5    6
#>  [3677,]    1    2    3    3    3    4    5    5    5
#>  [3678,]    1    1    1    1    1    2    3    3    3
#>  [3679,]    1    1    2    1    1    3    4    5    5
#>  [3680,]    1    1    1    1    1    2    3    2    3
#>  [3681,]    1    2    1    3    1    4    5    6    7
#>  [3682,]    1    2    1    3    1    4    5    6    6
#>  [3683,]    1    2    2    2    2    3    3    3    3
#>  [3684,]    1    1    2    3    3    4    5    6    7
#>  [3685,]    1    1    1    2    2    3    4    5    6
#>  [3686,]    1    2    3    4    4    5    6    7    6
#>  [3687,]    1    1    2    3    4    5    6    5    7
#>  [3688,]    1    2    2    3    2    4    5    4    6
#>  [3689,]    1    2    2    1    1    3    4    4    3
#>  [3690,]    1    1    1    1    1    2    2    2    2
#>  [3691,]    1    1    1    1    1    2    2    3    2
#>  [3692,]    1    1    1    1    1    2    3    3    3
#>  [3693,]    1    1    1    1    1    2    3    3    4
#>  [3694,]    1    1    2    1    1    3    4    5    5
#>  [3695,]    1    2    3    4    5    6    6    6    7
#>  [3696,]    1    2    3    4    5    6    7    8    9
#>  [3697,]    1    2    3    2    4    5    6    7    8
#>  [3698,]    1    2    2    2    3    4    5    4    6
#>  [3699,]    1    2    1    3    4    4    5    6    7
#>  [3700,]    1    2    3    1    4    5    6    7    8
#>  [3701,]    1    2    3    4    5    6    6    7    8
#>  [3702,]    1    1    2    3    2    4    4    5    6
#>  [3703,]    1    2    3    4    5    6    7    8    9
#>  [3704,]    1    2    3    4    5    6    7    8    9
#>  [3705,]    1    2    3    4    5    6    7    8    9
#>  [3706,]    1    2    3    4    5    6    7    7    8
#>  [3707,]    1    2    3    4    4    5    5    6    6
#>  [3708,]    1    2    3    4    4    5    5    5    5
#>  [3709,]    1    2    3    4    5    6    7    7    7
#>  [3710,]    1    2    3    4    5    6    6    6    6
#>  [3711,]    1    2    3    4    2    5    6    7    7
#>  [3712,]    1    2    3    4    2    5    6    7    7
#>  [3713,]    1    2    3    1    4    5    5    5    6
#>  [3714,]    1    2    3    4    5    6    6    6    6
#>  [3715,]    1    2    2    3    2    4    4    5    6
#>  [3716,]    1    2    1    1    1    3    4    5    5
#>  [3717,]    1    1    1    1    2    3    4    4    5
#>  [3718,]    1    1    2    1    1    3    3    3    3
#>  [3719,]    1    1    1    1    1    2    2    2    2
#>  [3720,]    1    1    1    1    2    3    3    3    3
#>  [3721,]    1    1    1    1    1    2    2    2    3
#>  [3722,]    1    1    1    1    1    2    2    2    2
#>  [3723,]    1    1    1    1    1    2    2    2    2
#>  [3724,]    1    1    1    1    1    2    2    2    2
#>  [3725,]    1    1    1    1    1    2    2    2    2
#>  [3726,]    1    1    1    1    1    2    2    2    2
#>  [3727,]    1    1    1    1    1    2    2    2    3
#>  [3728,]    1    2    1    1    2    3    3    3    3
#>  [3729,]    1    1    1    1    1    2    3    3    3
#>  [3730,]    1    1    1    2    1    3    4    4    4
#>  [3731,]    1    1    1    2    3    4    5    5    6
#>  [3732,]    1    1    2    3    4    5    6    6    6
#>  [3733,]    1    2    2    2    1    3    4    5    4
#>  [3734,]    1    2    3    3    2    4    4    5    4
#>  [3735,]    1    1    2    2    1    3    3    3    3
#>  [3736,]    1    2    2    3    3    4    5    5    5
#>  [3737,]    1    1    1    1    1    2    2    2    2
#>  [3738,]    1    1    2    3    1    4    4    4    4
#>  [3739,]    1    1    1    1    2    3    4    4    4
#>  [3740,]    1    2    2    2    2    3    4    5    4
#>  [3741,]    1    1    1    1    1    2    2    2    3
#>  [3742,]    1    2    2    3    4    5    6    5    7
#>  [3743,]    1    2    2    2    3    4    4    5    6
#>  [3744,]    1    2    3    4    3    5    5    5    5
#>  [3745,]    1    1    1    1    2    3    4    4    4
#>  [3746,]    1    1    1    2    2    3    4    5    4
#>  [3747,]    1    1    2    3    3    4    5    5    5
#>  [3748,]    1    2    3    2    1    4    5    6    6
#>  [3749,]    1    1    2    3    4    5    6    6    6
#>  [3750,]    1    2    3    4    3    5    6    7    8
#>  [3751,]    1    2    3    2    4    5    6    7    8
#>  [3752,]    1    2    3    4    2    5    6    7    8
#>  [3753,]    1    2    3    4    5    6    7    8    9
#>  [3754,]    1    2    3    4    5    6    7    8    8
#>  [3755,]    1    2    1    3    1    4    5    6    6
#>  [3756,]    1    2    2    1    3    4    4    4    5
#>  [3757,]    1    1    1    2    3    4    5    6    6
#>  [3758,]    1    1    2    2    1    3    3    3    3
#>  [3759,]    1    2    3    4    5    6    6    6    6
#>  [3760,]    1    2    2    3    3    4    4    4    4
#>  [3761,]    1    1    2    2    2    3    3    3    3
#>  [3762,]    1    2    2    2    2    3    3    4    4
#>  [3763,]    1    2    2    3    4    5    6    5    5
#>  [3764,]    1    2    1    3    1    4    5    4    6
#>  [3765,]    1    1    1    2    1    3    3    3    3
#>  [3766,]    1    1    1    1    1    2    2    3    2
#>  [3767,]    1    1    1    1    1    2    2    2    2
#>  [3768,]    1    1    1    1    1    2    2    2    2
#>  [3769,]    1    1    1    1    1    2    2    2    3
#>  [3770,]    1    1    1    1    1    2    2    2    3
#>  [3771,]    1    2    3    2    4    5    6    6    6
#>  [3772,]    1    2    2    2    3    4    5    6    5
#>  [3773,]    1    1    2    2    2    3    3    4    3
#>  [3774,]    1    1    1    1    1    2    3    3    3
#>  [3775,]    1    2    2    2    2    3    4    4    4
#>  [3776,]    1    1    2    3    3    4    5    6    5
#>  [3777,]    1    2    2    2    1    3    4    3    3
#>  [3778,]    1    1    1    2    1    3    4    4    4
#>  [3779,]    1    1    1    1    1    2    2    2    3
#>  [3780,]    1    2    3    2    1    4    5    6    5
#>  [3781,]    1    1    1    1    1    2    2    2    2
#>  [3782,]    1    2    1    3    4    5    5    5    5
#>  [3783,]    1    2    2    3    2    4    4    4    4
#>  [3784,]    1    2    2    1    3    4    4    5    6
#>  [3785,]    1    1    1    2    3    4    5    6    6
#>  [3786,]    1    2    3    4    3    5    5    6    7
#>  [3787,]    1    2    3    3    4    5    6    7    8
#>  [3788,]    1    2    3    4    2    5    6    5    7
#>  [3789,]    1    2    3    2    3    4    5    6    5
#>  [3790,]    1    1    2    2    2    3    3    3    4
#>  [3791,]    1    2    2    2    3    4    4    5    4
#>  [3792,]    1    2    1    3    2    4    4    4    4
#>  [3793,]    1    1    1    2    1    3    4    4    5
#>  [3794,]    1    2    1    2    1    3    3    4    4
#>  [3795,]    1    2    3    3    4    5    6    6    7
#>  [3796,]    1    2    3    4    1    5    6    7    6
#>  [3797,]    1    2    3    2    1    4    5    5    5
#>  [3798,]    1    1    1    1    1    2    2    2    3
#>  [3799,]    1    2    2    3    2    4    5    4    6
#>  [3800,]    1    2    3    1    1    4    4    4    4
#>  [3801,]    1    2    3    3    3    4    5    6    4
#>  [3802,]    1    1    2    1    3    4    4    5    6
#>  [3803,]    1    1    1    1    2    3    3    3    4
#>  [3804,]    1    2    2    2    2    3    4    4    4
#>  [3805,]    1    1    1    2    3    4    5    6    4
#>  [3806,]    1    2    3    1    4    1    5    6    7
#>  [3807,]    1    2    2    2    3    4    5    5    6
#>  [3808,]    1    1    1    1    1    2    2    2    2
#>  [3809,]    1    1    1    1    1    2    2    2    2
#>  [3810,]    1    2    1    1    1    3    3    3    3
#>  [3811,]    1    1    1    1    1    2    2    3    2
#>  [3812,]    1    2    2    3    3    4    4    4    5
#>  [3813,]    1    2    3    2    1    4    5    6    6
#>  [3814,]    1    2    1    1    3    4    5    5    5
#>  [3815,]    1    1    2    3    2    4    5    6    7
#>  [3816,]    1    1    2    2    3    4    4    4    5
#>  [3817,]    1    1    2    2    3    4    5    4    4
#>  [3818,]    1    2    3    4    5    6    7    7    6
#>  [3819,]    1    2    3    4    5    6    7    8    9
#>  [3820,]    1    2    3    4    2    5    6    7    8
#>  [3821,]    1    2    1    3    4    5    6    7    8
#>  [3822,]    1    2    3    4    3    5    6    7    8
#>  [3823,]    1    2    3    4    5    6    7    7    8
#>  [3824,]    1    2    3    4    5    6    7    6    8
#>  [3825,]    1    1    2    3    4    5    5    6    7
#>  [3826,]    1    2    3    1    4    5    6    7    8
#>  [3827,]    1    1    2    3    2    4    5    4    5
#>  [3828,]    1    1    2    1    1    3    4    4    4
#>  [3829,]    1    2    3    1    3    4    4    4    4
#>  [3830,]    1    2    2    1    1    3    4    5    5
#>  [3831,]    1    2    3    4    5    6    7    7    8
#>  [3832,]    1    2    3    4    3    5    6    6    6
#>  [3833,]    1    2    2    2    2    3    4    3    3
#>  [3834,]    1    1    1    1    1    2    2    2    2
#>  [3835,]    1    1    1    1    1    2    2    2    2
#>  [3836,]    1    2    2    1    1    3    3    3    3
#>  [3837,]    1    2    2    2    2    3    3    3    3
#>  [3838,]    1    1    1    1    2    3    3    3    3
#>  [3839,]    1    2    1    2    3    4    5    5    4
#>  [3840,]    1    1    2    3    2    4    5    6    7
#>  [3841,]    1    2    1    3    4    5    5    6    6
#>  [3842,]    1    2    3    4    1    5    6    7    7
#>  [3843,]    1    2    3    4    5    6    7    7    8
#>  [3844,]    1    2    3    4    5    6    7    8    9
#>  [3845,]    1    2    3    4    2    5    1    6    7
#>  [3846,]    1    2    2    3    4    5    6    7    8
#>  [3847,]    1    2    3    4    5    6    7    8    9
#>  [3848,]    1    2    3    4    5    5    6    7    8
#>  [3849,]    1    2    3    3    3    4    4    5    6
#>  [3850,]    1    1    2    2    2    3    3    4    4
#>  [3851,]    1    2    3    1    2    4    5    5    6
#>  [3852,]    1    2    1    1    1    3    4    5    5
#>  [3853,]    1    1    1    1    1    2    2    3    4
#>  [3854,]    1    2    2    1    2    3    4    4    4
#>  [3855,]    1    2    2    1    1    3    3    3    3
#>  [3856,]    1    2    1    1    1    3    3    3    3
#>  [3857,]    1    1    1    1    1    2    2    2    2
#>  [3858,]    1    1    1    1    1    2    2    2    2
#>  [3859,]    1    1    1    1    1    2    3    2    3
#>  [3860,]    1    1    1    1    1    2    3    4    4
#>  [3861,]    1    2    2    3    1    4    4    5    6
#>  [3862,]    1    2    3    4    2    5    6    7    8
#>  [3863,]    1    2    3    4    5    6    6    7    7
#>  [3864,]    1    2    3    3    3    4    5    6    7
#>  [3865,]    1    2    2    3    3    4    5    6    6
#>  [3866,]    1    1    2    1    3    4    5    6    7
#>  [3867,]    1    2    2    3    3    4    5    6    7
#>  [3868,]    1    2    3    4    5    6    7    8    6
#>  [3869,]    1    2    3    4    5    6    7    8    8
#>  [3870,]    1    2    3    4    5    6    7    8    7
#>  [3871,]    1    2    2    3    4    5    6    7    6
#>  [3872,]    1    2    1    3    2    4    5    6    7
#>  [3873,]    1    1    2    1    2    3    3    3    4
#>  [3874,]    1    1    1    1    2    3    3    4    5
#>  [3875,]    1    1    1    1    1    2    3    4    5
#>  [3876,]    1    1    1    1    2    3    4    3    5
#>  [3877,]    1    1    1    2    3    4    5    6    7
#>  [3878,]    1    1    2    2    1    3    4    4    5
#>  [3879,]    1    2    3    1    4    5    6    7    7
#>  [3880,]    1    2    3    1    3    4    5    5    5
#>  [3881,]    1    2    3    4    1    5    5    5    6
#>  [3882,]    1    1    2    1    3    4    5    6    7
#>  [3883,]    1    1    2    1    3    4    5    4    6
#>  [3884,]    1    1    2    3    1    4    5    4    6
#>  [3885,]    1    1    1    2    1    3    4    3    5
#>  [3886,]    1    2    3    1    2    4    5    6    7
#>  [3887,]    1    1    1    1    1    2    3    4    4
#>  [3888,]    1    1    2    2    1    3    4    4    5
#>  [3889,]    1    2    3    1    4    5    5    6    6
#>  [3890,]    1    1    1    2    1    3    4    4    4
#>  [3891,]    1    2    1    3    3    4    4    5    5
#>  [3892,]    1    2    1    1    3    4    5    6    6
#>  [3893,]    1    1    1    1    1    2    3    4    3
#>  [3894,]    1    2    2    2    3    4    4    4    4
#>  [3895,]    1    1    2    2    2    3    4    4    4
#>  [3896,]    1    2    2    2    3    4    4    4    4
#>  [3897,]    1    2    3    4    3    5    5    5    5
#>  [3898,]    1    2    1    3    2    4    4    5    4
#>  [3899,]    1    2    3    3    3    4    5    5    6
#>  [3900,]    1    2    3    3    2    4    5    6    7
#>  [3901,]    1    2    1    1    3    4    5    5    6
#>  [3902,]    1    2    1    3    1    4    5    6    5
#>  [3903,]    1    1    1    1    1    2    3    2    4
#>  [3904,]    1    2    1    3    3    4    5    4    5
#>  [3905,]    1    1    1    1    1    2    3    4    4
#>  [3906,]    1    1    1    1    1    2    2    2    3
#>  [3907,]    1    2    1    3    4    5    5    6    7
#>  [3908,]    1    2    3    4    5    6    6    7    6
#>  [3909,]    1    2    3    4    3    5    6    7    8
#>  [3910,]    1    2    3    4    3    5    6    7    8
#>  [3911,]    1    2    3    4    1    5    6    7    8
#>  [3912,]    1    2    3    4    5    6    7    8    9
#>  [3913,]    1    2    3    4    3    5    6    6    7
#>  [3914,]    1    2    3    2    4    5    5    6    6
#>  [3915,]    1    1    2    3    1    4    4    4    4
#>  [3916,]    1    1    1    2    3    4    4    4    4
#>  [3917,]    1    1    2    3    2    4    5    5    5
#>  [3918,]    1    2    3    4    1    5    6    6    6
#>  [3919,]    1    2    3    4    5    6    7    7    7
#>  [3920,]    1    2    3    4    3    3    5    5    6
#>  [3921,]    1    2    3    4    4    5    5    6    7
#>  [3922,]    1    1    1    1    1    2    3    3    3
#>  [3923,]    1    1    1    1    2    3    3    3    3
#>  [3924,]    1    2    1    1    1    3    3    4    5
#>  [3925,]    1    2    2    2    3    4    5    5    5
#>  [3926,]    1    1    1    2    1    3    3    4    4
#>  [3927,]    1    2    1    1    1    3    4    3    3
#>  [3928,]    1    2    1    3    4    5    6    7    7
#>  [3929,]    1    2    3    1    4    5    6    6    7
#>  [3930,]    1    2    3    4    3    5    6    6    7
#>  [3931,]    1    2    1    2    3    4    5    6    5
#>  [3932,]    1    2    1    3    1    4    5    6    5
#>  [3933,]    1    1    1    1    1    2    2    2    3
#>  [3934,]    1    1    2    1    1    3    4    5    6
#>  [3935,]    1    1    1    1    1    2    3    3    2
#>  [3936,]    1    1    1    1    1    2    2    3    2
#>  [3937,]    1    1    2    3    1    4    5    4    5
#>  [3938,]    1    2    2    3    4    5    6    5    7
#>  [3939,]    1    1    2    3    1    4    5    6    7
#>  [3940,]    1    1    2    2    1    3    4    4    5
#>  [3941,]    1    1    2    3    1    4    5    6    7
#>  [3942,]    1    1    1    2    1    3    4    5    5
#>  [3943,]    1    1    1    1    1    2    3    4    4
#>  [3944,]    1    1    1    1    1    2    2    3    4
#>  [3945,]    1    1    1    1    1    2    3    2    2
#>  [3946,]    1    2    1    3    2    4    4    5    4
#>  [3947,]    1    2    1    1    3    4    4    4    4
#>  [3948,]    1    2    3    2    4    5    6    5    7
#>  [3949,]    1    2    1    3    1    4    5    6    4
#>  [3950,]    1    2    2    3    2    4    5    5    5
#>  [3951,]    1    2    1    3    4    5    6    7    6
#>  [3952,]    1    2    3    4    5    6    6    6    7
#>  [3953,]    1    2    3    4    4    5    6    7    7
#>  [3954,]    1    2    3    2    4    5    6    6    6
#>  [3955,]    1    2    3    3    3    4    5    5    5
#>  [3956,]    1    2    2    2    1    3    4    3    5
#>  [3957,]    1    1    1    1    2    3    3    4    5
#>  [3958,]    1    2    1    3    1    4    5    5    5
#>  [3959,]    1    1    1    1    1    2    2    3    3
#>  [3960,]    1    2    1    1    3    4    5    5    5
#>  [3961,]    1    1    1    1    1    2    3    3    3
#>  [3962,]    1    1    1    1    1    2    3    3    3
#>  [3963,]    1    1    1    1    1    2    3    3    3
#>  [3964,]    1    2    3    2    3    4    4    4    5
#>  [3965,]    1    2    2    3    2    4    4    5    5
#>  [3966,]    1    2    3    4    3    5    6    6    5
#>  [3967,]    1    1    2    1    3    4    5    4    5
#>  [3968,]    1    2    3    4    4    5    5    5    5
#>  [3969,]    1    2    1    2    2    3    3    4    5
#>  [3970,]    1    1    1    1    2    3    4    5    3
#>  [3971,]    1    1    2    3    4    5    6    7    5
#>  [3972,]    1    2    3    3    4    5    5    5    6
#>  [3973,]    1    1    2    2    3    4    4    5    6
#>  [3974,]    1    2    2    3    2    4    5    6    5
#>  [3975,]    1    2    1    3    4    5    6    7    8
#>  [3976,]    1    2    3    1    1    4    5    6    6
#>  [3977,]    1    2    3    3    4    5    6    6    7
#>  [3978,]    1    2    2    1    3    4    5    6    7
#>  [3979,]    1    2    3    4    5    6    7    8    7
#>  [3980,]    1    2    3    4    5    6    7    6    8
#>  [3981,]    1    1    2    3    1    4    5    4    6
#>  [3982,]    1    2    3    2    4    5    6    7    8
#>  [3983,]    1    2    3    4    3    5    6    7    6
#>  [3984,]    1    2    3    4    3    5    6    6    7
#>  [3985,]    1    1    1    1    1    2    3    4    5
#>  [3986,]    1    2    2    2    3    4    5    6    6
#>  [3987,]    1    2    3    3    4    5    6    6    5
#>  [3988,]    1    2    3    4    2    5    5    6    7
#>  [3989,]    1    2    1    3    4    5    6    7    8
#>  [3990,]    1    2    3    4    5    6    7    8    7
#>  [3991,]    1    2    3    4    5    6    6    7    8
#>  [3992,]    1    2    3    3    4    5    6    7    8
#>  [3993,]    1    2    2    3    4    5    6    7    6
#>  [3994,]    1    2    3    2    4    5    6    7    8
#>  [3995,]    1    2    3    4    5    6    7    8    9
#>  [3996,]    1    2    3    4    5    6    7    8    9
#>  [3997,]    1    2    2    3    4    5    6    7    8
#>  [3998,]    1    2    3    4    3    5    5    5    6
#>  [3999,]    1    2    3    4    5    6    7    8    8
#>  [4000,]    1    2    1    3    3    4    5    5    6
#>  [4001,]    1    2    3    4    5    6    7    8    9
#>  [4002,]    1    2    3    4    5    6    7    6    8
#>  [4003,]    1    2    3    4    2    5    6    7    8
#>  [4004,]    1    2    3    1    4    5    5    5    6
#>  [4005,]    1    2    3    4    5    6    7    6    8
#>  [4006,]    1    2    3    3    3    4    5    6    6
#>  [4007,]    1    2    3    4    4    5    6    6    7
#>  [4008,]    1    2    3    1    4    5    6    5    7
#>  [4009,]    1    2    1    1    1    3    4    3    5
#>  [4010,]    1    2    3    4    2    5    6    7    8
#>  [4011,]    1    1    2    3    2    4    5    6    7
#>  [4012,]    1    2    2    3    3    4    5    6    7
#>  [4013,]    1    2    3    2    1    4    5    6    7
#>  [4014,]    1    2    3    2    3    4    5    6    7
#>  [4015,]    1    1    2    3    4    5    6    7    8
#>  [4016,]    1    2    3    4    5    6    7    8    9
#>  [4017,]    1    2    3    3    4    5    6    6    7
#>  [4018,]    1    2    2    3    4    5    6    7    8
#>  [4019,]    1    2    3    4    5    6    7    8    9
#>  [4020,]    1    2    3    4    5    6    7    8    9
#>  [4021,]    1    2    3    4    4    5    6    7    8
#>  [4022,]    1    2    3    4    5    6    7    8    7
#>  [4023,]    1    2    2    3    2    4    5    6    7
#>  [4024,]    1    2    3    4    1    5    6    7    8
#>  [4025,]    1    2    3    4    1    5    6    7    8
#>  [4026,]    1    2    3    3    4    5    6    7    6
#>  [4027,]    1    2    2    1    2    3    4    5    4
#>  [4028,]    1    1    2    3    3    4    5    6    5
#>  [4029,]    1    2    1    1    1    3    4    5    6
#>  [4030,]    1    1    2    2    3    4    4    5    6
#>  [4031,]    1    2    3    1    4    5    6    7    8
#>  [4032,]    1    2    3    4    4    5    6    7    8
#>  [4033,]    1    2    3    4    5    6    7    8    7
#>  [4034,]    1    2    3    2    3    4    5    6    7
#>  [4035,]    1    1    2    3    4    5    6    7    6
#>  [4036,]    1    2    3    1    1    4    5    6    7
#>  [4037,]    1    1    2    1    3    4    5    4    6
#>  [4038,]    1    1    2    1    1    3    3    4    5
#>  [4039,]    1    2    3    4    5    6    7    8    9
#>  [4040,]    1    2    3    4    5    6    7    7    8
#>  [4041,]    1    2    3    4    2    5    6    7    6
#>  [4042,]    1    2    2    3    2    4    5    4    4
#>  [4043,]    1    2    3    3    3    4    5    5    5
#>  [4044,]    1    2    2    3    3    4    5    5    6
#>  [4045,]    1    2    2    1    1    3    4    5    3
#>  [4046,]    1    2    3    3    4    5    6    7    8
#>  [4047,]    1    2    3    4    5    6    7    8    8
#>  [4048,]    1    2    3    3    3    4    4    4    4
#>  [4049,]    1    2    3    4    5    6    7    7    7
#>  [4050,]    1    2    3    3    4    5    5    5    5
#>  [4051,]    1    2    3    4    5    6    7    8    9
#>  [4052,]    1    2    3    2    4    5    6    7    8
#>  [4053,]    1    2    3    4    5    6    7    8    9
#>  [4054,]    1    2    3    4    4    5    6    7    8
#>  [4055,]    1    2    3    4    5    6    7    6    8
#>  [4056,]    1    2    3    4    5    6    7    8    8
#>  [4057,]    1    2    1    3    4    5    6    5    7
#>  [4058,]    1    1    2    3    4    5    6    6    7
#>  [4059,]    1    2    1    1    1    3    4    5    4
#>  [4060,]    1    2    3    3    3    4    4    5    6
#>  [4061,]    1    1    1    2    1    3    4    5    4
#>  [4062,]    1    1    2    1    3    4    5    6    6
#>  [4063,]    1    2    3    4    1    5    6    6    7
#>  [4064,]    1    2    3    4    3    5    6    7    8
#>  [4065,]    1    2    3    4    5    6    7    8    8
#>  [4066,]    1    2    2    2    2    3    4    5    4
#>  [4067,]    1    2    3    4    3    5    6    7    8
#>  [4068,]    1    2    3    2    4    5    6    7    7
#>  [4069,]    1    2    1    3    3    4    5    6    5
#>  [4070,]    1    2    3    1    2    4    5    6    7
#>  [4071,]    1    2    2    3    3    4    5    6    5
#>  [4072,]    1    2    3    4    1    5    6    7    8
#>  [4073,]    1    2    3    4    4    5    6    7    8
#>  [4074,]    1    2    3    4    4    5    6    6    7
#>  [4075,]    1    2    3    4    3    5    6    7    8
#>  [4076,]    1    2    2    2    2    3    3    4    5
#>  [4077,]    1    1    2    3    4    5    6    7    8
#>  [4078,]    1    2    2    3    4    5    6    7    5
#>  [4079,]    1    2    2    2    2    3    4    3    5
#>  [4080,]    1    2    2    2    1    3    4    4    5
#>  [4081,]    1    2    2    3    1    4    5    6    7
#>  [4082,]    1    1    2    3    3    4    5    6    7
#>  [4083,]    1    2    3    4    1    5    5    6    6
#>  [4084,]    1    1    1    1    2    3    3    3    4
#>  [4085,]    1    2    3    2    4    5    5    5    6
#>  [4086,]    1    2    1    2    1    3    3    3    4
#>  [4087,]    1    2    1    3    1    4    5    6    7
#>  [4088,]    1    2    3    4    5    6    7    8    9
#>  [4089,]    1    2    3    4    3    5    6    7    8
#>  [4090,]    1    2    3    4    5    6    7    7    7
#>  [4091,]    1    1    1    2    2    3    4    4    4
#>  [4092,]    1    2    1    1    1    3    4    5    3
#>  [4093,]    1    1    2    1    2    3    4    5    4
#>  [4094,]    1    1    1    1    1    2    3    4    5
#>  [4095,]    1    1    1    1    1    2    3    4    5
#>  [4096,]    1    2    1    3    1    4    5    6    6
#>  [4097,]    1    2    3    4    5    6    7    6    7
#>  [4098,]    1    2    1    3    4    5    6    6    6
#>  [4099,]    1    2    3    4    3    5    6    6    7
#>  [4100,]    1    2    3    4    5    6    7    8    9
#>  [4101,]    1    2    3    4    3    5    6    7    6
#>  [4102,]    1    2    3    4    5    6    7    8    6
#>  [4103,]    1    2    3    4    5    6    7    8    8
#>  [4104,]    1    1    2    3    4    5    6    7    8
#>  [4105,]    1    2    3    3    4    5    6    7    8
#>  [4106,]    1    2    3    1    4    5    6    7    6
#>  [4107,]    1    2    3    4    5    6    7    7    6
#>  [4108,]    1    2    2    2    3    4    4    5    6
#>  [4109,]    1    2    3    4    5    6    6    6    6
#>  [4110,]    1    2    2    3    4    5    6    7    7
#>  [4111,]    1    2    3    4    3    5    6    6    6
#>  [4112,]    1    1    1    1    2    3    3    3    3
#>  [4113,]    1    1    2    2    1    3    4    5    5
#>  [4114,]    1    1    1    1    1    2    3    2    3
#>  [4115,]    1    1    1    1    1    2    2    3    2
#>  [4116,]    1    1    1    1    1    2    3    2    2
#>  [4117,]    1    1    1    1    1    2    3    3    3
#>  [4118,]    1    1    1    1    1    2    2    2    2
#>  [4119,]    1    1    2    2    2    3    3    3    3
#>  [4120,]    1    2    2    2    2    3    3    3    4
#>  [4121,]    1    2    2    2    3    4    5    5    6
#>  [4122,]    1    1    1    1    1    2    2    2    3
#>  [4123,]    1    1    2    1    2    3    4    5    4
#>  [4124,]    1    2    2    2    2    3    3    3    3
#>  [4125,]    1    1    1    1    2    3    4    5    5
#>  [4126,]    1    1    1    1    1    2    3    2    4
#>  [4127,]    1    1    1    1    1    2    3    3    4
#>  [4128,]    1    1    1    1    1    2    3    3    4
#>  [4129,]    1    1    1    1    1    2    3    4    3
#>  [4130,]    1    2    3    4    5    6    7    8    6
#>  [4131,]    1    2    3    4    5    6    7    8    9
#>  [4132,]    1    2    3    3    2    4    5    6    7
#>  [4133,]    1    1    2    2    1    3    4    5    6
#>  [4134,]    1    2    2    2    2    3    4    5    6
#>  [4135,]    1    1    1    1    2    3    4    4    5
#>  [4136,]    1    1    1    1    2    3    4    5    4
#>  [4137,]    1    1    2    2    2    3    3    4    4
#>  [4138,]    1    2    3    3    2    4    5    5    5
#>  [4139,]    1    1    1    1    1    2    3    3    3
#>  [4140,]    1    1    1    2    1    3    4    4    4
#>  [4141,]    1    1    2    3    4    5    6    6    6
#>  [4142,]    1    2    3    1    4    5    6    6    6
#>  [4143,]    1    2    3    1    4    5    5    6    7
#>  [4144,]    1    2    3    4    5    6    7    8    7
#>  [4145,]    1    2    3    1    4    5    5    5    5
#>  [4146,]    1    2    3    3    3    4    5    5    6
#>  [4147,]    1    1    2    3    4    5    5    6    7
#>  [4148,]    1    2    3    4    1    5    6    7    7
#>  [4149,]    1    2    3    1    4    5    6    6    7
#>  [4150,]    1    2    3    3    3    4    4    4    4
#>  [4151,]    1    2    2    2    2    3    3    3    4
#>  [4152,]    1    1    1    1    2    3    4    3    5
#>  [4153,]    1    2    1    1    2    3    4    5    4
#>  [4154,]    1    1    1    2    1    3    4    5    3
#>  [4155,]    1    2    2    3    1    4    4    4    4
#>  [4156,]    1    1    2    3    1    4    5    5    6
#>  [4157,]    1    2    2    2    3    4    4    5    6
#>  [4158,]    1    2    3    3    4    5    6    6    5
#>  [4159,]    1    2    3    1    1    4    5    6    7
#>  [4160,]    1    1    2    1    3    4    5    6    7
#>  [4161,]    1    2    1    3    2    4    5    5    5
#>  [4162,]    1    2    3    1    1    4    5    6    5
#>  [4163,]    1    2    1    2    3    4    5    6    5
#>  [4164,]    1    2    3    4    5    6    7    8    8
#>  [4165,]    1    2    2    3    4    5    6    6    6
#>  [4166,]    1    2    2    2    1    3    4    5    6
#>  [4167,]    1    2    1    3    3    4    4    5    6
#>  [4168,]    1    2    3    2    4    5    6    7    8
#>  [4169,]    1    1    2    3    4    5    6    6    7
#>  [4170,]    1    1    2    1    3    4    4    5    6
#>  [4171,]    1    2    3    2    2    4    5    5    6
#>  [4172,]    1    2    2    2    2    3    4    5    5
#>  [4173,]    1    2    3    3    2    4    5    5    5
#>  [4174,]    1    1    2    3    4    5    5    5    5
#>  [4175,]    1    2    3    4    4    5    5    5    5
#>  [4176,]    1    2    3    4    5    6    7    6    7
#>  [4177,]    1    2    2    3    2    4    4    5    6
#>  [4178,]    1    1    1    1    1    2    3    3    3
#>  [4179,]    1    1    1    1    1    2    3    3    3
#>  [4180,]    1    2    1    3    3    4    5    6    5
#>  [4181,]    1    2    2    2    3    4    5    6    6
#>  [4182,]    1    2    3    4    3    5    5    5    6
#>  [4183,]    1    2    2    3    4    5    6    7    6
#>  [4184,]    1    1    1    2    2    3    4    3    3
#>  [4185,]    1    1    2    2    2    2    3    4    4
#>  [4186,]    1    2    1    1    2    3    4    4    5
#>  [4187,]    1    1    2    3    1    4    4    4    4
#>  [4188,]    1    2    1    3    4    5    5    6    6
#>  [4189,]    1    1    2    3    1    4    5    5    6
#>  [4190,]    1    1    2    3    2    4    5    6    7
#>  [4191,]    1    2    3    4    5    6    7    8    9
#>  [4192,]    1    2    3    3    4    5    6    7    8
#>  [4193,]    1    2    3    4    4    5    6    7    6
#>  [4194,]    1    2    3    3    4    5    6    6    7
#>  [4195,]    1    2    3    4    3    5    6    7    8
#>  [4196,]    1    2    3    3    3    4    5    6    7
#>  [4197,]    1    2    3    2    2    4    5    5    5
#>  [4198,]    1    2    3    4    5    6    7    8    8
#>  [4199,]    1    2    3    1    1    4    5    5    6
#>  [4200,]    1    1    1    1    2    3    4    4    5
#>  [4201,]    1    2    1    2    2    3    4    4    5
#>  [4202,]    1    2    3    4    5    6    6    6    7
#>  [4203,]    1    2    3    2    4    5    6    5    7
#>  [4204,]    1    2    3    2    1    4    5    5    6
#>  [4205,]    1    1    2    3    4    5    6    7    8
#>  [4206,]    1    2    1    1    3    4    5    6    5
#>  [4207,]    1    2    1    3    1    4    5    6    4
#>  [4208,]    1    1    1    2    1    3    4    5    4
#>  [4209,]    1    1    2    3    3    4    5    6    7
#>  [4210,]    1    2    3    4    5    6    6    7    7
#>  [4211,]    1    2    1    1    1    3    4    3    3
#>  [4212,]    1    2    1    1    3    4    4    4    5
#>  [4213,]    1    2    3    2    3    4    5    6    5
#>  [4214,]    1    1    2    1    3    4    5    5    5
#>  [4215,]    1    2    3    3    3    4    5    5    5
#>  [4216,]    1    2    1    2    2    3    3    3    4
#>  [4217,]    1    2    3    1    2    4    5    4    4
#>  [4218,]    1    2    2    1    2    3    4    4    4
#>  [4219,]    1    2    1    1    3    4    4    4    4
#>  [4220,]    1    1    1    1    1    2    2    2    2
#>  [4221,]    1    1    1    1    1    2    3    4    3
#>  [4222,]    1    1    1    1    1    2    3    3    4
#>  [4223,]    1    2    3    4    5    6    7    7    8
#>  [4224,]    1    1    1    1    1    2    3    2    2
#>  [4225,]    1    1    1    1    2    3    4    4    3
#>  [4226,]    1    1    2    2    1    3    3    3    4
#>  [4227,]    1    1    1    2    2    3    3    3    3
#>  [4228,]    1    2    3    1    3    4    4    4    4
#>  [4229,]    1    1    2    3    1    4    4    4    4
#>  [4230,]    1    2    1    3    2    4    5    5    5
#>  [4231,]    1    1    1    1    2    3    3    3    4
#>  [4232,]    1    1    1    2    1    3    3    4    4
#>  [4233,]    1    2    1    2    2    3    4    4    4
#>  [4234,]    1    1    1    2    1    3    4    5    5
#>  [4235,]    1    1    2    1    3    4    5    6    7
#>  [4236,]    1    2    2    2    2    3    4    5    4
#>  [4237,]    1    2    3    4    1    5    6    7    7
#>  [4238,]    1    1    2    3    2    4    5    4    5
#>  [4239,]    1    2    1    3    4    5    5    6    7
#>  [4240,]    1    2    1    1    2    3    4    3    3
#>  [4241,]    1    2    2    1    1    3    4    4    4
#>  [4242,]    1    1    2    3    1    4    5    6    6
#>  [4243,]    1    2    3    1    4    5    6    5    7
#>  [4244,]    1    2    3    4    5    6    7    7    7
#>  [4245,]    1    2    3    1    4    5    6    7    8
#>  [4246,]    1    2    3    4    5    6    7    8    9
#>  [4247,]    1    2    2    3    2    4    5    5    6
#>  [4248,]    1    2    3    1    4    5    6    7    8
#>  [4249,]    1    1    2    3    4    5    5    5    6
#>  [4250,]    1    2    3    4    5    6    6    6    6
#>  [4251,]    1    2    1    3    4    5    5    5    5
#>  [4252,]    1    1    2    3    4    5    5    6    5
#>  [4253,]    1    2    3    1    1    4    5    4    6
#>  [4254,]    1    2    3    4    3    5    5    5    6
#>  [4255,]    1    2    3    1    3    4    5    6    5
#>  [4256,]    1    2    1    3    4    5    6    6    6
#>  [4257,]    1    2    3    4    5    6    6    6    6
#>  [4258,]    1    2    3    3    4    5    6    6    6
#>  [4259,]    1    2    3    4    2    5    6    6    6
#>  [4260,]    1    2    3    4    5    6    7    8    9
#>  [4261,]    1    2    3    3    4    5    6    7    8
#>  [4262,]    1    2    1    3    4    5    5    6    7
#>  [4263,]    1    2    3    4    5    6    7    6    8
#>  [4264,]    1    2    2    3    4    5    6    7    7
#>  [4265,]    1    2    3    4    1    5    6    7    6
#>  [4266,]    1    2    3    4    5    6    7    8    9
#>  [4267,]    1    2    1    3    4    5    6    7    8
#>  [4268,]    1    2    3    4    2    5    6    6    7
#>  [4269,]    1    2    3    4    5    6    6    6    6
#>  [4270,]    1    2    3    3    4    5    6    6    5
#>  [4271,]    1    2    3    4    5    6    7    8    9
#>  [4272,]    1    2    1    3    4    5    6    7    8
#>  [4273,]    1    2    2    3    3    4    5    5    5
#>  [4274,]    1    2    3    4    2    5    6    7    6
#>  [4275,]    1    1    2    3    1    4    5    6    7
#>  [4276,]    1    1    2    3    3    4    4    5    4
#>  [4277,]    1    2    2    1    3    4    4    5    4
#>  [4278,]    1    1    2    1    1    3    4    5    5
#>  [4279,]    1    2    1    1    1    3    3    3    3
#>  [4280,]    1    1    1    1    1    2    3    2    3
#>  [4281,]    1    1    1    1    1    2    3    4    4
#>  [4282,]    1    1    1    1    1    2    3    3    4
#>  [4283,]    1    1    1    1    1    2    3    3    4
#>  [4284,]    1    1    1    1    1    2    3    4    4
#>  [4285,]    1    2    1    3    1    4    5    5    5
#>  [4286,]    1    2    1    1    3    4    5    6    6
#>  [4287,]    1    2    3    4    5    6    5    7    7
#>  [4288,]    1    2    3    4    5    6    7    7    8
#>  [4289,]    1    2    3    4    4    5    6    6    6
#>  [4290,]    1    1    2    3    4    5    5    6    6
#>  [4291,]    1    2    1    1    1    3    4    3    3
#>  [4292,]    1    1    1    1    1    2    2    2    2
#>  [4293,]    1    1    2    1    1    3    4    4    4
#>  [4294,]    1    1    1    2    3    4    5    6    4
#>  [4295,]    1    2    2    2    2    3    4    3    5
#>  [4296,]    1    1    2    1    1    3    4    5    5
#>  [4297,]    1    2    3    4    3    5    6    6    7
#>  [4298,]    1    1    2    3    4    5    6    6    7
#>  [4299,]    1    2    3    2    2    4    5    4    6
#>  [4300,]    1    1    1    1    2    3    4    4    4
#>  [4301,]    1    1    2    2    2    3    4    4    5
#>  [4302,]    1    1    2    2    3    4    4    4    4
#>  [4303,]    1    1    1    1    2    3    4    4    5
#>  [4304,]    1    1    1    1    1    2    3    4    4
#>  [4305,]    1    1    2    3    1    4    4    5    4
#>  [4306,]    1    2    3    4    4    5    5    5    5
#>  [4307,]    1    2    3    1    3    4    4    4    4
#>  [4308,]    1    1    1    1    1    2    2    2    2
#>  [4309,]    1    2    2    3    1    4    4    4    4
#>  [4310,]    1    1    2    1    3    4    4    4    4
#>  [4311,]    1    2    1    3    4    5    6    6    7
#>  [4312,]    1    2    2    3    3    4    5    5    6
#>  [4313,]    1    2    3    2    4    5    6    6    6
#>  [4314,]    1    2    1    3    1    4    5    6    6
#>  [4315,]    1    2    1    1    3    4    4    4    5
#>  [4316,]    1    1    2    1    3    4    5    4    6
#>  [4317,]    1    1    2    3    3    4    5    5    6
#>  [4318,]    1    2    2    3    3    4    5    6    4
#>  [4319,]    1    2    3    2    1    4    4    5    4
#>  [4320,]    1    2    1    3    1    4    4    4    5
#>  [4321,]    1    1    1    1    1    2    2    3    2
#>  [4322,]    1    1    1    2    2    3    3    3    3
#>  [4323,]    1    1    1    2    1    3    4    3    4
#>  [4324,]    1    1    2    1    2    3    4    4    3
#>  [4325,]    1    2    2    3    4    5    6    7    8
#>  [4326,]    1    2    3    4    5    6    7    8    9
#>  [4327,]    1    1    2    3    1    4    5    6    6
#>  [4328,]    1    2    1    2    1    3    4    3    3
#>  [4329,]    1    2    3    4    5    6    7    8    9
#>  [4330,]    1    2    1    1    3    4    5    4    6
#>  [4331,]    1    2    3    2    2    4    5    6    7
#>  [4332,]    1    2    2    3    2    4    5    5    5
#>  [4333,]    1    2    1    1    3    4    5    5    5
#>  [4334,]    1    2    3    4    4    5    5    5    5
#>  [4335,]    1    2    3    4    4    5    6    7    8
#>  [4336,]    1    2    2    3    4    5    6    6    7
#>  [4337,]    1    2    3    4    5    6    7    8    6
#>  [4338,]    1    2    3    4    4    5    5    5    6
#>  [4339,]    1    1    2    1    2    3    4    5    6
#>  [4340,]    1    2    1    1    2    3    4    3    5
#>  [4341,]    1    1    1    1    1    2    3    4    4
#>  [4342,]    1    1    2    2    2    3    4    5    6
#>  [4343,]    1    2    2    1    3    4    5    6    5
#>  [4344,]    1    2    1    2    1    3    4    4    5
#>  [4345,]    1    1    2    1    1    3    4    5    6
#>  [4346,]    1    2    3    4    5    6    7    8    8
#>  [4347,]    1    2    3    4    5    6    7    8    9
#>  [4348,]    1    2    3    4    5    6    7    8    9
#>  [4349,]    1    2    3    1    1    4    5    6    7
#>  [4350,]    1    2    1    3    4    5    6    6    7
#>  [4351,]    1    2    1    3    2    4    4    5    5
#>  [4352,]    1    1    1    2    3    4    5    4    5
#>  [4353,]    1    1    2    3    2    4    5    5    5
#>  [4354,]    1    2    3    1    4    5    6    7    6
#>  [4355,]    1    2    3    4    5    6    6    7    7
#>  [4356,]    1    2    3    4    5    6    6    6    7
#>  [4357,]    1    2    3    4    4    5    5    6    7
#>  [4358,]    1    1    2    1    1    3    4    5    5
#>  [4359,]    1    2    3    2    3    4    5    6    6
#>  [4360,]    1    2    3    4    3    5    6    6    6
#>  [4361,]    1    2    3    3    4    5    6    6    7
#>  [4362,]    1    1    1    1    2    3    3    4    5
#>  [4363,]    1    1    1    1    1    2    3    4    4
#>  [4364,]    1    2    2    2    3    4    5    6    6
#>  [4365,]    1    2    2    2    3    4    5    6    7
#>  [4366,]    1    2    2    2    2    3    3    3    3
#>  [4367,]    1    2    2    2    2    3    3    3    3
#>  [4368,]    1    1    1    1    1    2    2    2    2
#>  [4369,]    1    1    1    1    1    2    2    2    2
#>  [4370,]    1    2    2    3    3    4    4    4    4
#>  [4371,]    1    2    3    2    2    4    5    5    5
#>  [4372,]    1    1    2    2    3    4    5    6    5
#>  [4373,]    1    2    3    2    2    4    5    6    5
#>  [4374,]    1    2    2    3    3    4    5    6    7
#>  [4375,]    1    2    3    4    5    6    7    7    8
#>  [4376,]    1    2    3    4    5    6    7    8    9
#>  [4377,]    1    2    3    1    4    5    6    7    8
#>  [4378,]    1    2    3    4    1    5    6    5    7
#>  [4379,]    1    2    2    3    4    5    6    7    8
#>  [4380,]    1    1    2    3    4    5    6    7    8
#>  [4381,]    1    2    3    4    5    6    7    8    9
#>  [4382,]    1    2    3    2    4    5    6    7    8
#>  [4383,]    1    2    3    2    3    4    4    4    5
#>  [4384,]    1    2    1    2    3    4    4    4    4
#>  [4385,]    1    1    1    2    1    3    3    3    3
#>  [4386,]    1    2    3    4    5    6    6    6    6
#>  [4387,]    1    1    2    3    3    4    5    4    5
#>  [4388,]    1    2    3    3    4    5    5    6    6
#>  [4389,]    1    1    2    1    1    3    4    5    6
#>  [4390,]    1    1    1    2    1    3    4    5    4
#>  [4391,]    1    1    1    2    1    3    4    5    5
#>  [4392,]    1    2    3    4    5    6    6    6    7
#>  [4393,]    1    2    3    4    5    6    7    8    9
#>  [4394,]    1    2    3    4    1    5    6    7    8
#>  [4395,]    1    2    3    4    5    6    7    8    9
#>  [4396,]    1    2    3    3    4    5    6    7    8
#>  [4397,]    1    2    3    4    2    5    6    5    5
#>  [4398,]    1    2    3    4    5    6    7    7    8
#>  [4399,]    1    2    3    1    4    5    6    5    7
#>  [4400,]    1    2    3    4    5    6    7    8    9
#>  [4401,]    1    2    3    2    3    4    5    6    7
#>  [4402,]    1    2    1    3    3    4    5    6    7
#>  [4403,]    1    2    2    2    2    3    4    4    4
#>  [4404,]    1    2    2    3    2    4    4    5    4
#>  [4405,]    1    2    3    4    1    5    6    5    7
#>  [4406,]    1    2    3    2    2    4    5    5    6
#>  [4407,]    1    1    2    3    1    4    5    6    7
#>  [4408,]    1    1    2    2    3    4    5    6    4
#>  [4409,]    1    2    3    4    3    5    6    7    8
#>  [4410,]    1    1    1    2    3    4    5    6    7
#>  [4411,]    1    2    3    3    4    5    6    7    8
#>  [4412,]    1    2    3    4    5    6    7    8    9
#>  [4413,]    1    1    2    3    4    5    6    5    7
#>  [4414,]    1    1    2    3    3    4    5    5    6
#>  [4415,]    1    1    2    2    3    4    5    6    6
#>  [4416,]    1    2    3    3    4    5    6    7    6
#>  [4417,]    1    2    3    4    4    5    6    7    8
#>  [4418,]    1    2    1    1    1    3    4    5    6
#>  [4419,]    1    2    1    3    1    4    5    6    7
#>  [4420,]    1    2    3    4    3    5    6    7    6
#>  [4421,]    1    2    3    4    5    6    7    8    9
#>  [4422,]    1    2    1    1    3    4    5    5    5
#>  [4423,]    1    1    2    1    1    3    4    4    5
#>  [4424,]    1    2    3    2    3    4    5    5    5
#>  [4425,]    1    1    2    2    2    3    3    3    4
#>  [4426,]    1    1    2    3    4    5    5    5    5
#>  [4427,]    1    2    3    4    5    6    7    6    6
#>  [4428,]    1    1    2    3    1    4    5    6    7
#>  [4429,]    1    2    3    4    5    6    7    8    9
#>  [4430,]    1    2    3    3    4    5    6    7    8
#>  [4431,]    1    2    3    4    3    5    6    5    5
#>  [4432,]    1    2    3    2    1    4    5    6    4
#>  [4433,]    1    1    2    3    1    4    4    5    6
#>  [4434,]    1    2    2    1    3    4    4    5    5
#>  [4435,]    1    2    1    1    1    3    4    5    6
#>  [4436,]    1    2    3    4    2    5    6    7    6
#>  [4437,]    1    2    3    4    2    5    6    7    6
#>  [4438,]    1    2    3    4    5    6    7    8    9
#>  [4439,]    1    2    3    4    5    6    7    8    7
#>  [4440,]    1    2    3    4    5    6    7    8    9
#>  [4441,]    1    2    3    4    5    6    7    7    8
#>  [4442,]    1    2    3    4    4    5    6    7    8
#>  [4443,]    1    2    3    4    5    6    7    8    9
#>  [4444,]    1    2    2    3    4    5    6    7    8
#>  [4445,]    1    2    3    3    4    3    5    6    7
#>  [4446,]    1    2    2    2    2    3    4    5    3
#>  [4447,]    1    1    2    3    1    4    5    6    6
#>  [4448,]    1    2    3    4    1    5    6    7    8
#>  [4449,]    1    2    2    3    4    5    6    7    8
#>  [4450,]    1    2    3    4    3    5    6    5    7
#>  [4451,]    1    2    3    4    5    6    7    8    7
#>  [4452,]    1    2    3    4    5    6    7    8    9
#>  [4453,]    1    2    3    4    5    6    7    8    9
#>  [4454,]    1    2    3    3    4    5    6    7    5
#>  [4455,]    1    2    3    4    5    6    6    7    8
#>  [4456,]    1    2    3    4    5    6    7    8    7
#>  [4457,]    1    2    3    3    3    4    5    6    7
#>  [4458,]    1    2    2    2    3    4    5    6    7
#>  [4459,]    1    2    3    4    2    5    6    7    8
#>  [4460,]    1    2    2    2    3    4    5    6    7
#>  [4461,]    1    2    1    3    1    4    5    6    7
#>  [4462,]    1    2    3    1    4    5    6    5    6
#>  [4463,]    1    2    2    2    3    4    5    5    5
#>  [4464,]    1    2    3    3    1    4    5    5    5
#>  [4465,]    1    1    1    1    2    3    4    5    5
#>  [4466,]    1    1    1    2    3    4    5    5    5
#>  [4467,]    1    2    3    4    4    5    6    6    6
#>  [4468,]    1    1    2    1    1    3    4    5    5
#>  [4469,]    1    2    2    1    3    4    4    4    4
#>  [4470,]    1    2    2    2    3    4    4    4    4
#>  [4471,]    1    2    1    3    1    4    5    4    5
#>  [4472,]    1    1    2    3    1    4    5    4    4
#>  [4473,]    1    1    2    3    1    4    5    6    7
#>  [4474,]    1    2    3    3    3    4    5    6    6
#>  [4475,]    1    2    2    2    3    4    5    6    7
#>  [4476,]    1    2    1    3    1    4    5    6    5
#>  [4477,]    1    2    1    1    1    3    4    5    6
#>  [4478,]    1    2    1    1    1    3    3    4    3
#>  [4479,]    1    2    2    2    3    4    4    5    4
#>  [4480,]    1    1    1    1    2    3    3    4    3
#>  [4481,]    1    1    1    1    1    2    3    4    4
#>  [4482,]    1    2    3    3    4    5    6    7    5
#>  [4483,]    1    1    2    1    3    4    5    6    6
#>  [4484,]    1    1    2    1    3    4    5    6    6
#>  [4485,]    1    1    2    2    1    3    4    5    5
#>  [4486,]    1    2    1    2    3    4    5    4    5
#>  [4487,]    1    1    2    2    1    3    4    3    4
#>  [4488,]    1    1    2    1    2    3    4    5    4
#>  [4489,]    1    2    2    2    3    4    5    6    5
#>  [4490,]    1    1    1    1    2    3    4    5    4
#>  [4491,]    1    2    3    1    3    4    5    6    7
#>  [4492,]    1    2    3    3    1    4    5    5    5
#>  [4493,]    1    2    3    4    4    5    5    5    6
#>  [4494,]    1    2    3    2    4    5    5    6    7
#>  [4495,]    1    2    3    3    3    4    5    6    7
#>  [4496,]    1    2    3    3    3    4    5    6    7
#>  [4497,]    1    1    1    1    1    2    3    4    4
#>  [4498,]    1    1    2    2    1    3    4    4    5
#>  [4499,]    1    1    1    2    1    3    3    3    3
#>  [4500,]    1    2    3    4    4    5    5    6    5
#>  [4501,]    1    1    2    3    3    4    5    6    6
#>  [4502,]    1    2    3    4    4    5    6    6    6
#>  [4503,]    1    2    1    3    4    5    6    6    6
#>  [4504,]    1    2    3    4    5    6    7    8    7
#>  [4505,]    1    2    3    4    5    6    7    7    8
#>  [4506,]    1    2    3    4    5    6    6    6    7
#>  [4507,]    1    2    3    4    3    5    6    7    6
#>  [4508,]    1    1    2    1    1    3    4    4    5
#>  [4509,]    1    2    1    1    2    3    4    3    4
#>  [4510,]    1    1    2    3    2    4    5    6    4
#>  [4511,]    1    2    2    2    3    4    5    6    7
#>  [4512,]    1    2    3    4    2    5    6    5    7
#>  [4513,]    1    2    1    3    1    4    5    6    4
#>  [4514,]    1    2    3    3    4    5    5    6    7
#>  [4515,]    1    2    3    4    5    6    7    7    8
#>  [4516,]    1    2    2    3    4    5    6    7    6
#>  [4517,]    1    2    3    4    5    6    7    8    7
#>  [4518,]    1    2    3    4    5    6    7    8    9
#>  [4519,]    1    2    3    4    5    6    7    7    8
#>  [4520,]    1    2    3    4    5    6    7    8    8
#>  [4521,]    1    2    3    4    5    6    7    7    8
#>  [4522,]    1    2    1    3    2    4    4    5    6
#>  [4523,]    1    2    3    4    5    6    7    7    8
#>  [4524,]    1    2    3    3    4    5    6    5    7
#>  [4525,]    1    1    2    3    1    4    5    6    6
#>  [4526,]    1    2    3    3    3    4    5    6    7
#>  [4527,]    1    1    1    1    1    2    2    3    4
#>  [4528,]    1    2    1    2    1    3    3    4    4
#>  [4529,]    1    1    2    3    4    5    5    5    6
#>  [4530,]    1    2    3    2    3    4    5    4    6
#>  [4531,]    1    2    3    4    5    6    7    6    8
#>  [4532,]    1    2    3    4    4    5    6    6    6
#>  [4533,]    1    2    3    3    4    5    6    6    6
#>  [4534,]    1    1    1    2    2    3    4    5    3
#>  [4535,]    1    2    3    4    1    5    5    6    5
#>  [4536,]    1    2    3    4    4    5    5    6    6
#>  [4537,]    1    2    1    1    3    4    4    4    4
#>  [4538,]    1    1    1    1    2    3    4    4    4
#>  [4539,]    1    1    1    2    3    4    4    4    5
#>  [4540,]    1    2    3    2    1    4    5    6    7
#>  [4541,]    1    1    1    2    3    4    5    6    7
#>  [4542,]    1    1    2    3    4    5    6    7    7
#>  [4543,]    1    2    3    4    5    6    7    8    9
#>  [4544,]    1    2    3    4    5    6    7    8    8
#>  [4545,]    1    2    2    3    4    5    6    7    7
#>  [4546,]    1    2    2    1    1    3    4    5    6
#>  [4547,]    1    1    2    3    1    4    4    5    6
#>  [4548,]    1    2    1    3    4    5    6    6    7
#>  [4549,]    1    2    1    1    3    4    5    6    5
#>  [4550,]    1    1    2    1    3    4    5    6    6
#>  [4551,]    1    2    2    3    4    5    6    5    6
#>  [4552,]    1    2    1    1    1    3    3    3    4
#>  [4553,]    1    1    1    1    1    2    3    2    2
#>  [4554,]    1    1    1    1    2    3    4    5    5
#>  [4555,]    1    1    2    1    1    3    4    4    4
#>  [4556,]    1    1    1    1    1    2    2    2    2
#>  [4557,]    1    2    1    1    1    3    4    4    4
#>  [4558,]    1    2    1    2    1    3    3    3    3
#>  [4559,]    1    1    2    2    1    3    3    3    3
#>  [4560,]    1    2    3    3    3    4    4    4    4
#>  [4561,]    1    1    1    1    1    2    2    2    2
#>  [4562,]    1    1    1    1    1    2    2    2    2
#>  [4563,]    1    1    1    1    1    2    2    2    2
#>  [4564,]    1    1    2    1    1    3    3    3    3
#>  [4565,]    1    1    2    1    1    3    3    4    5
#>  [4566,]    1    1    1    1    1    2    2    2    3
#>  [4567,]    1    1    1    2    3    2    4    4    4
#>  [4568,]    1    2    1    1    1    3    3    3    3
#>  [4569,]    1    2    3    2    4    5    6    5    5
#>  [4570,]    1    2    1    3    1    4    5    6    7
#>  [4571,]    1    2    3    4    5    6    7    8    8
#>  [4572,]    1    2    3    3    3    4    5    6    4
#>  [4573,]    1    2    2    3    4    5    6    7    7
#>  [4574,]    1    1    2    2    2    3    4    5    6
#>  [4575,]    1    1    2    3    3    4    5    6    7
#>  [4576,]    1    2    3    4    5    6    7    7    8
#>  [4577,]    1    2    1    2    1    3    4    5    6
#>  [4578,]    1    2    3    3    2    4    5    5    6
#>  [4579,]    1    1    1    1    1    2    3    4    3
#>  [4580,]    1    1    2    1    1    3    4    4    4
#>  [4581,]    1    1    1    1    2    3    4    4    4
#>  [4582,]    1    1    2    1    3    4    5    5    6
#>  [4583,]    1    2    3    1    4    5    5    5    6
#>  [4584,]    1    1    1    1    1    2    2    2    2
#>  [4585,]    1    1    1    1    1    2    3    3    4
#>  [4586,]    1    1    1    1    2    3    4    5    3
#>  [4587,]    1    1    2    2    2    3    3    3    3
#>  [4588,]    1    2    2    2    1    3    4    4    4
#>  [4589,]    1    1    1    1    1    2    3    3    4
#>  [4590,]    1    1    1    1    2    3    4    3    3
#>  [4591,]    1    2    3    3    1    4    5    5    6
#>  [4592,]    1    2    1    3    1    4    5    6    6
#>  [4593,]    1    1    1    1    2    3    3    3    3
#>  [4594,]    1    2    1    1    1    3    3    3    4
#>  [4595,]    1    2    1    1    2    3    3    3    4
#>  [4596,]    1    1    1    1    1    2    3    2    3
#>  [4597,]    1    1    1    1    1    2    3    4    3
#>  [4598,]    1    2    1    1    1    3    4    5    4
#>  [4599,]    1    1    2    3    4    5    6    7    8
#>  [4600,]    1    2    3    3    4    5    6    7    7
#>  [4601,]    1    2    3    2    1    4    5    5    5
#>  [4602,]    1    2    3    4    3    5    6    7    8
#>  [4603,]    1    1    2    1    1    3    4    5    6
#>  [4604,]    1    2    3    2    4    5    6    7    8
#>  [4605,]    1    2    3    4    5    6    7    8    7
#>  [4606,]    1    2    3    3    4    5    6    7    8
#>  [4607,]    1    2    1    3    4    5    6    7    8
#>  [4608,]    1    2    3    4    5    6    7    8    9
#>  [4609,]    1    2    3    4    5    6    7    8    9
#>  [4610,]    1    2    3    4    5    6    7    8    9
#>  [4611,]    1    2    1    3    4    5    5    6    5
#>  [4612,]    1    2    2    2    3    4    5    6    5
#>  [4613,]    1    2    1    1    3    4    5    5    5
#>  [4614,]    1    2    3    4    2    5    5    5    6
#>  [4615,]    1    1    2    3    2    4    5    5    5
#>  [4616,]    1    1    1    1    1    2    2    2    3
#>  [4617,]    1    1    1    1    1    2    3    3    2
#>  [4618,]    1    1    1    1    1    2    2    2    2
#>  [4619,]    1    1    1    1    1    2    2    2    2
#>  [4620,]    1    2    1    1    1    3    4    4    4
#>  [4621,]    1    2    1    1    2    3    3    3    3
#>  [4622,]    1    1    2    3    2    4    4    4    4
#>  [4623,]    1    1    1    1    2    3    3    3    3
#>  [4624,]    1    1    1    1    2    3    4    3    5
#>  [4625,]    1    1    2    2    3    4    5    5    5
#>  [4626,]    1    2    2    1    1    3    4    4    4
#>  [4627,]    1    1    2    2    2    3    4    4    4
#>  [4628,]    1    1    2    3    4    5    6    6    7
#>  [4629,]    1    2    3    4    5    6    7    8    9
#>  [4630,]    1    1    1    2    2    3    4    5    6
#>  [4631,]    1    2    3    4    3    5    6    7    8
#>  [4632,]    1    2    2    3    4    5    6    7    8
#>  [4633,]    1    2    3    4    4    5    6    7    6
#>  [4634,]    1    2    3    4    5    6    7    7    8
#>  [4635,]    1    2    3    4    5    6    7    8    9
#>  [4636,]    1    2    2    2    3    4    5    5    6
#>  [4637,]    1    2    1    3    4    5    6    7    8
#>  [4638,]    1    2    3    4    4    5    6    6    6
#>  [4639,]    1    2    3    1    4    5    6    7    8
#>  [4640,]    1    1    1    2    1    3    4    4    5
#>  [4641,]    1    1    1    2    1    3    4    5    6
#>  [4642,]    1    2    1    1    1    3    4    5    6
#>  [4643,]    1    2    1    2    2    3    4    5    6
#>  [4644,]    1    1    1    1    1    2    3    4    5
#>  [4645,]    1    1    2    1    1    3    4    4    4
#>  [4646,]    1    1    2    1    1    3    4    3    4
#>  [4647,]    1    1    1    1    1    2    3    3    4
#>  [4648,]    1    1    1    1    1    2    2    2    3
#>  [4649,]    1    1    1    1    1    2    2    2    2
#>  [4650,]    1    1    1    1    1    2    3    2    3
#>  [4651,]    1    1    1    1    1    2    3    3    2
#>  [4652,]    1    1    1    1    1    2    2    3    3
#>  [4653,]    1    1    1    1    2    3    4    4    5
#>  [4654,]    1    1    2    1    3    4    5    5    5
#>  [4655,]    1    2    1    3    4    5    6    5    6
#>  [4656,]    1    2    3    4    1    5    6    5    7
#>  [4657,]    1    2    2    2    2    3    4    5    4
#>  [4658,]    1    1    1    1    1    2    3    3    4
#>  [4659,]    1    1    1    1    1    2    3    4    2
#>  [4660,]    1    2    1    3    1    4    5    6    5
#>  [4661,]    1    2    3    4    5    6    7    8    9
#>  [4662,]    1    2    3    4    2    5    5    6    6
#>  [4663,]    1    2    1    2    2    3    3    3    3
#>  [4664,]    1    1    1    1    2    3    4    3    5
#>  [4665,]    1    1    2    3    4    5    5    5    6
#>  [4666,]    1    2    3    3    4    5    6    7    8
#>  [4667,]    1    1    1    2    1    3    4    5    6
#>  [4668,]    1    2    3    4    4    5    5    6    5
#>  [4669,]    1    1    2    3    4    5    5    6    5
#>  [4670,]    1    2    3    3    3    4    4    4    4
#>  [4671,]    1    2    2    2    2    3    4    5    6
#>  [4672,]    1    2    3    4    4    5    6    7    6
#>  [4673,]    1    2    3    4    5    6    7    8    8
#>  [4674,]    1    2    3    4    2    5    6    7    8
#>  [4675,]    1    2    3    4    5    6    7    8    9
#>  [4676,]    1    1    2    1    1    3    4    5    6
#>  [4677,]    1    2    1    1    1    3    4    5    4
#>  [4678,]    1    1    1    2    1    3    3    3    3
#>  [4679,]    1    1    1    2    1    3    3    3    3
#>  [4680,]    1    2    1    1    1    3    4    4    4
#>  [4681,]    1    1    2    1    3    4    4    4    5
#>  [4682,]    1    2    3    4    5    6    7    8    9
#>  [4683,]    1    2    3    4    4    5    6    7    7
#>  [4684,]    1    2    3    4    3    5    6    6    6
#>  [4685,]    1    2    3    4    2    5    6    6    6
#>  [4686,]    1    2    2    2    2    3    4    4    4
#>  [4687,]    1    1    2    1    1    3    4    5    4
#>  [4688,]    1    2    2    2    2    3    3    3    4
#>  [4689,]    1    1    1    1    1    2    2    3    2
#>  [4690,]    1    1    1    1    2    3    3    4    3
#>  [4691,]    1    1    2    2    3    4    5    5    5
#>  [4692,]    1    1    2    2    3    4    5    5    5
#>  [4693,]    1    2    3    3    2    4    5    5    5
#>  [4694,]    1    1    1    1    1    2    3    3    2
#>  [4695,]    1    1    1    2    3    4    5    6    7
#>  [4696,]    1    2    2    2    2    3    4    5    6
#>  [4697,]    1    1    2    2    3    4    5    5    5
#>  [4698,]    1    1    2    1    3    4    4    4    5
#>  [4699,]    1    2    1    1    3    4    4    4    4
#>  [4700,]    1    2    1    1    1    3    3    3    3
#>  [4701,]    1    2    2    2    3    4    4    5    4
#>  [4702,]    1    1    2    3    2    4    4    5    4
#>  [4703,]    1    1    2    1    3    4    5    4    6
#>  [4704,]    1    1    2    2    3    4    5    5    5
#>  [4705,]    1    2    3    3    3    4    5    5    5
#>  [4706,]    1    2    2    1    2    3    4    5    4
#>  [4707,]    1    2    1    1    2    3    3    3    3
#>  [4708,]    1    2    2    1    3    4    4    4    4
#>  [4709,]    1    2    1    3    4    5    6    6    6
#>  [4710,]    1    2    1    1    2    3    4    4    5
#>  [4711,]    1    1    2    2    2    3    3    3    4
#>  [4712,]    1    2    1    1    1    3    3    3    3
#>  [4713,]    1    1    1    1    2    3    3    4    3
#>  [4714,]    1    1    1    2    1    3    3    3    3
#>  [4715,]    1    1    2    1    3    4    4    4    4
#>  [4716,]    1    1    2    2    1    3    4    4    4
#>  [4717,]    1    1    2    1    1    3    3    3    3
#>  [4718,]    1    2    1    2    1    3    3    4    5
#>  [4719,]    1    2    1    1    1    3    4    4    5
#>  [4720,]    1    1    1    1    1    2    3    4    2
#>  [4721,]    1    1    2    2    1    3    3    3    3
#>  [4722,]    1    2    1    1    1    3    3    3    3
#>  [4723,]    1    2    2    2    2    3    3    3    3
#>  [4724,]    1    2    3    1    4    5    5    5    5
#>  [4725,]    1    2    3    1    4    5    6    7    6
#>  [4726,]    1    2    2    3    2    4    4    4    4
#>  [4727,]    1    1    2    3    2    4    4    4    4
#>  [4728,]    1    1    1    1    1    2    2    2    2
#>  [4729,]    1    2    3    3    3    4    4    4    4
#>  [4730,]    1    2    3    2    4    5    5    6    6
#>  [4731,]    1    2    3    2    3    4    4    4    5
#>  [4732,]    1    2    1    1    2    3    4    5    4
#>  [4733,]    1    2    2    3    1    4    5    5    6
#>  [4734,]    1    1    1    2    3    4    5    6    6
#>  [4735,]    1    1    2    3    1    4    5    5    6
#>  [4736,]    1    2    3    4    5    6    7    8    9
#>  [4737,]    1    2    3    4    5    6    7    8    8
#>  [4738,]    1    2    3    3    3    4    5    6    7
#>  [4739,]    1    1    2    3    1    4    5    5    5
#>  [4740,]    1    2    2    3    2    4    4    4    4
#>  [4741,]    1    2    2    2    2    3    3    3    4
#>  [4742,]    1    2    2    2    2    3    3    3    3
#>  [4743,]    1    1    2    1    3    4    5    6    6
#>  [4744,]    1    2    2    2    3    4    4    4    5
#>  [4745,]    1    2    3    4    5    6    6    7    6
#>  [4746,]    1    1    1    2    3    4    5    6    6
#>  [4747,]    1    2    3    2    4    5    6    7    7
#>  [4748,]    1    1    2    1    3    4    5    6    7
#>  [4749,]    1    2    3    4    5    6    7    8    8
#>  [4750,]    1    2    3    1    4    5    6    6    7
#>  [4751,]    1    2    3    4    5    6    7    8    8
#>  [4752,]    1    2    1    2    3    4    5    6    5
#>  [4753,]    1    1    2    3    4    5    6    7    7
#>  [4754,]    1    2    2    2    3    4    5    6    5
#>  [4755,]    1    1    2    3    4    5    5    6    7
#>  [4756,]    1    2    2    3    4    5    6    7    8
#>  [4757,]    1    2    3    4    5    6    7    8    9
#>  [4758,]    1    2    3    4    5    6    7    8    9
#>  [4759,]    1    2    3    4    5    6    7    8    9
#>  [4760,]    1    2    3    2    4    5    6    7    8
#>  [4761,]    1    1    2    1    3    4    5    6    6
#>  [4762,]    1    2    1    3    1    4    5    4    4
#>  [4763,]    1    1    1    1    1    2    3    4    5
#>  [4764,]    1    1    1    1    1    2    3    4    3
#>  [4765,]    1    1    1    1    1    2    3    3    3
#>  [4766,]    1    1    1    1    1    2    2    2    2
#>  [4767,]    1    1    1    1    1    2    3    3    3
#>  [4768,]    1    1    1    1    1    2    3    4    4
#>  [4769,]    1    1    1    1    1    2    3    3    3
#>  [4770,]    1    2    3    4    5    6    7    6    7
#>  [4771,]    1    2    3    1    2    4    5    5    4
#>  [4772,]    1    2    3    4    2    5    5    5    5
#>  [4773,]    1    2    1    2    2    3    3    3    4
#>  [4774,]    1    1    1    1    2    3    3    4    4
#>  [4775,]    1    1    1    1    1    2    2    2    2
#>  [4776,]    1    1    1    1    1    2    2    2    2
#>  [4777,]    1    1    1    2    2    3    3    3    3
#>  [4778,]    1    1    2    1    1    3    3    3    3
#>  [4779,]    1    1    2    1    1    3    3    3    3
#>  [4780,]    1    1    1    1    1    2    2    2    2
#>  [4781,]    1    1    2    2    2    3    3    3    3
#>  [4782,]    1    2    2    2    2    3    4    4    4
#>  [4783,]    1    2    2    3    2    4    4    4    4
#>  [4784,]    1    1    1    1    1    2    2    2    2
#>  [4785,]    1    1    1    2    3    4    4    4    5
#>  [4786,]    1    1    2    3    2    4    5    5    6
#>  [4787,]    1    1    2    3    2    4    5    5    5
#>  [4788,]    1    1    1    1    1    2    2    3    2
#>  [4789,]    1    1    1    2    3    4    5    5    5
#>  [4790,]    1    1    2    1    3    4    5    6    4
#>  [4791,]    1    2    3    1    4    5    6    6    7
#>  [4792,]    1    2    3    4    5    6    7    8    8
#>  [4793,]    1    2    2    3    2    4    5    5    6
#>  [4794,]    1    1    1    2    2    3    3    4    5
#>  [4795,]    1    1    1    2    1    3    3    4    4
#>  [4796,]    1    2    3    1    1    4    5    4    5
#>  [4797,]    1    1    2    3    4    5    5    6    6
#>  [4798,]    1    2    3    2    2    4    5    6    5
#>  [4799,]    1    2    1    3    1    4    4    5    6
#>  [4800,]    1    1    2    3    4    5    6    7    8
#>  [4801,]    1    2    3    1    2    4    5    6    7
#>  [4802,]    1    2    3    3    3    4    5    6    7
#>  [4803,]    1    2    3    3    4    5    5    5    5
#>  [4804,]    1    2    3    3    4    5    5    5    5
#>  [4805,]    1    2    2    3    4    5    6    6    6
#>  [4806,]    1    1    2    3    4    5    6    7    7
#>  [4807,]    1    1    2    3    3    4    5    4    6
#>  [4808,]    1    2    3    3    4    5    6    7    8
#>  [4809,]    1    2    3    4    5    6    7    7    7
#>  [4810,]    1    2    3    4    2    5    5    5    6
#>  [4811,]    1    1    2    3    4    5    6    6    7
#>  [4812,]    1    2    1    3    4    5    6    7    8
#>  [4813,]    1    2    3    4    5    6    7    8    9
#>  [4814,]    1    2    3    4    5    6    7    8    9
#>  [4815,]    1    2    3    4    5    6    7    7    8
#>  [4816,]    1    1    2    3    4    5    6    7    8
#>  [4817,]    1    2    1    1    1    3    4    5    3
#>  [4818,]    1    2    3    4    4    1    5    5    6
#>  [4819,]    1    2    3    4    5    6    7    6    8
#>  [4820,]    1    1    2    3    4    5    6    6    6
#>  [4821,]    1    1    2    1    1    3    3    3    4
#>  [4822,]    1    1    1    1    2    3    3    3    3
#>  [4823,]    1    1    1    1    1    2    3    3    4
#>  [4824,]    1    1    1    1    1    2    2    2    2
#>  [4825,]    1    1    1    1    1    2    2    2    2
#>  [4826,]    1    1    1    1    1    2    2    2    2
#>  [4827,]    1    1    1    1    1    2    2    2    2
#>  [4828,]    1    1    1    1    1    2    2    2    2
#>  [4829,]    1    1    1    1    1    2    2    2    2
#>  [4830,]    1    2    1    1    1    3    3    3    3
#>  [4831,]    1    1    1    1    1    2    3    2    3
#>  [4832,]    1    1    2    1    2    3    3    4    5
#>  [4833,]    1    2    3    4    5    6    7    8    7
#>  [4834,]    1    2    3    4    1    5    6    7    7
#>  [4835,]    1    2    3    3    1    4    5    6    5
#>  [4836,]    1    1    1    2    3    4    5    5    4
#>  [4837,]    1    2    3    3    3    4    4    4    5
#>  [4838,]    1    2    3    2    3    4    5    5    5
#>  [4839,]    1    2    3    3    4    5    5    5    5
#>  [4840,]    1    2    1    2    2    3    3    3    3
#>  [4841,]    1    2    1    3    4    5    6    5    6
#>  [4842,]    1    2    3    2    4    5    6    7    6
#>  [4843,]    1    2    1    3    4    5    5    6    6
#>  [4844,]    1    2    3    2    1    4    5    6    5
#>  [4845,]    1    2    3    4    4    5    6    7    7
#>  [4846,]    1    2    3    4    2    5    6    6    7
#>  [4847,]    1    2    3    4    5    6    7    8    8
#>  [4848,]    1    2    3    4    5    6    7    8    8
#>  [4849,]    1    2    3    4    5    6    7    8    9
#>  [4850,]    1    2    3    3    3    4    5    6    7
#>  [4851,]    1    1    1    1    2    3    4    4    5
#>  [4852,]    1    2    1    3    4    5    5    6    5
#>  [4853,]    1    2    3    3    3    4    4    5    4
#>  [4854,]    1    1    2    2    1    3    3    4    5
#>  [4855,]    1    2    2    2    2    3    4    4    5
#>  [4856,]    1    1    2    1    2    3    4    4    4
#>  [4857,]    1    2    1    3    3    4    5    5    6
#>  [4858,]    1    2    2    2    3    4    5    5    5
#>  [4859,]    1    1    1    2    2    3    3    4    4
#>  [4860,]    1    1    1    2    3    4    5    6    4
#>  [4861,]    1    1    1    2    3    4    5    4    4
#>  [4862,]    1    1    1    2    2    3    4    5    3
#>  [4863,]    1    2    3    1    4    5    6    7    8
#>  [4864,]    1    1    1    2    3    4    5    6    7
#>  [4865,]    1    2    3    4    3    5    5    6    7
#>  [4866,]    1    2    3    3    3    4    4    4    5
#>  [4867,]    1    2    1    2    2    3    4    5    4
#>  [4868,]    1    2    3    1    4    5    5    5    5
#>  [4869,]    1    2    3    2    2    4    4    4    4
#>  [4870,]    1    1    1    1    1    2    3    3    3
#>  [4871,]    1    1    1    1    1    2    3    3    3
#>  [4872,]    1    1    1    1    1    2    2    2    2
#>  [4873,]    1    1    1    1    1    2    2    2    2
#>  [4874,]    1    1    1    1    1    2    2    2    2
#>  [4875,]    1    1    1    1    1    2    2    2    2
#>  [4876,]    1    1    1    1    1    2    2    2    2
#>  [4877,]    1    1    1    1    1    2    2    2    3
#>  [4878,]    1    2    1    3    2    1    4    4    4
#>  [4879,]    1    2    2    1    3    4    4    4    4
#>  [4880,]    1    2    3    1    4    5    5    5    5
#>  [4881,]    1    2    3    1    1    4    5    6    7
#>  [4882,]    1    2    3    4    3    5    5    6    6
#>  [4883,]    1    2    2    2    3    4    5    4    4
#>  [4884,]    1    1    1    2    1    3    4    4    4
#>  [4885,]    1    2    3    2    3    4    5    6    6
#>  [4886,]    1    1    2    1    3    4    5    6    6
#>  [4887,]    1    2    3    2    4    5    5    6    7
#>  [4888,]    1    2    3    4    5    6    7    7    8
#>  [4889,]    1    2    3    4    5    6    7    8    9
#>  [4890,]    1    2    1    1    3    4    5    4    6
#>  [4891,]    1    2    3    4    3    5    5    5    6
#>  [4892,]    1    2    3    4    4    5    5    5    5
#>  [4893,]    1    2    3    4    5    6    6    6    6
#>  [4894,]    1    1    1    1    1    2    3    3    3
#>  [4895,]    1    2    1    1    1    3    4    5    3
#>  [4896,]    1    1    1    1    1    2    3    4    2
#>  [4897,]    1    1    1    2    1    3    4    5    5
#>  [4898,]    1    2    2    2    1    3    3    4    3
#>  [4899,]    1    2    1    2    2    3    3    3    3
#>  [4900,]    1    1    1    1    1    2    3    3    4
#>  [4901,]    1    1    1    1    2    2    3    3    3
#>  [4902,]    1    1    1    1    2    3    4    5    3
#>  [4903,]    1    1    2    1    1    3    3    3    3
#>  [4904,]    1    1    2    1    2    3    4    5    5
#>  [4905,]    1    2    3    3    3    4    5    6    6
#>  [4906,]    1    2    3    3    3    4    5    6    7
#>  [4907,]    1    1    2    2    1    3    4    5    6
#>  [4908,]    1    2    1    1    1    3    4    5    6
#>  [4909,]    1    2    2    2    2    3    4    5    6
#>  [4910,]    1    2    3    4    4    5    6    6    6
#>  [4911,]    1    2    2    3    4    5    6    6    6
#>  [4912,]    1    2    3    4    2    5    6    7    8
#>  [4913,]    1    2    3    2    1    4    5    5    5
#>  [4914,]    1    2    3    4    5    6    6    7    8
#>  [4915,]    1    1    2    3    4    5    6    7    8
#>  [4916,]    1    2    3    4    2    5    6    7    8
#>  [4917,]    1    2    2    3    3    4    5    6    4
#>  [4918,]    1    2    3    4    5    6    7    7    7
#>  [4919,]    1    1    2    3    4    5    6    5    5
#>  [4920,]    1    2    3    4    5    6    7    8    9
#>  [4921,]    1    1    1    2    3    4    5    4    6
#>  [4922,]    1    2    3    4    4    5    5    6    5
#>  [4923,]    1    2    3    3    4    5    5    5    5
#>  [4924,]    1    2    2    2    2    3    4    4    4
#>  [4925,]    1    2    1    1    1    3    3    3    3
#>  [4926,]    1    2    1    1    1    3    4    4    5
#>  [4927,]    1    2    2    3    2    4    4    5    6
#>  [4928,]    1    2    2    3    2    4    5    5    6
#>  [4929,]    1    1    1    1    2    3    4    5    4
#>  [4930,]    1    2    2    1    2    3    4    4    4
#>  [4931,]    1    2    3    4    3    5    6    7    6
#>  [4932,]    1    2    1    2    2    3    4    5    4
#>  [4933,]    1    2    3    1    1    4    5    5    5
#>  [4934,]    1    2    3    2    1    4    5    4    5
#>  [4935,]    1    2    3    1    4    5    6    7    8
#>  [4936,]    1    2    3    3    2    4    4    4    5
#>  [4937,]    1    1    1    2    3    4    5    6    5
#>  [4938,]    1    2    1    1    2    3    4    5    4
#>  [4939,]    1    2    3    2    2    4    5    4    5
#>  [4940,]    1    2    3    2    3    4    5    5    5
#>  [4941,]    1    2    2    2    3    4    5    5    5
#>  [4942,]    1    2    3    4    3    5    6    6    6
#>  [4943,]    1    1    2    3    4    5    5    5    5
#>  [4944,]    1    2    3    4    5    6    7    8    9
#>  [4945,]    1    2    3    4    1    5    6    7    8
#>  [4946,]    1    1    2    3    3    4    5    6    7
#>  [4947,]    1    2    3    4    5    6    7    8    8
#>  [4948,]    1    2    3    4    5    6    7    8    8
#>  [4949,]    1    2    3    4    3    5    6    6    6
#>  [4950,]    1    1    1    2    3    4    5    5    5
#>  [4951,]    1    2    1    3    3    4    4    5    6
#>  [4952,]    1    2    3    4    5    6    7    6    7
#>  [4953,]    1    2    2    3    4    5    5    6    6
#>  [4954,]    1    2    3    4    3    5    6    7    7
#>  [4955,]    1    2    2    3    2    4    4    4    4
#>  [4956,]    1    1    1    2    1    3    4    4    5
#>  [4957,]    1    2    3    2    2    4    5    6    7
#>  [4958,]    1    2    3    4    5    6    7    8    7
#>  [4959,]    1    2    3    2    2    4    5    6    7
#>  [4960,]    1    2    3    4    5    6    7    7    8
#>  [4961,]    1    2    3    4    1    5    5    6    7
#>  [4962,]    1    2    3    2    2    4    5    6    7
#>  [4963,]    1    2    3    4    3    5    6    7    7
#>  [4964,]    1    2    3    4    5    6    7    8    8
#>  [4965,]    1    2    3    4    5    6    7    7    8
#>  [4966,]    1    2    1    1    1    3    4    5    5
#>  [4967,]    1    1    1    1    2    3    3    3    3
#>  [4968,]    1    1    2    2    3    4    4    4    4
#>  [4969,]    1    2    2    2    3    4    5    6    5
#>  [4970,]    1    1    2    3    4    5    6    6    6
#>  [4971,]    1    2    2    2    3    4    5    5    6
#>  [4972,]    1    1    2    3    1    4    5    6    5
#>  [4973,]    1    1    1    1    1    2    3    2    2
#>  [4974,]    1    1    1    1    1    2    3    4    4
#>  [4975,]    1    1    2    1    1    3    3    3    3
#>  [4976,]    1    1    1    1    1    2    3    2    4
#>  [4977,]    1    1    1    1    2    3    4    4    5
#>  [4978,]    1    1    1    1    1    2    3    2    2
#>  [4979,]    1    2    2    1    1    3    3    3    3
#>  [4980,]    1    1    1    1    1    2    2    3    2
#>  [4981,]    1    2    2    2    2    3    4    4    4
#>  [4982,]    1    1    1    2    2    3    3    4    4
#>  [4983,]    1    1    2    2    3    4    5    6    7
#>  [4984,]    1    1    1    2    1    3    4    5    3
#>  [4985,]    1    1    1    1    1    2    3    3    4
#>  [4986,]    1    1    1    1    1    2    2    3    3
#>  [4987,]    1    1    1    1    1    2    3    4    4
#>  [4988,]    1    1    1    1    1    2    2    2    3
#>  [4989,]    1    2    3    4    4    5    6    7    8
#>  [4990,]    1    2    3    4    2    5    6    7    8
#>  [4991,]    1    2    3    4    3    5    6    5    7
#>  [4992,]    1    2    3    4    5    6    7    7    7
#>  [4993,]    1    1    2    3    4    5    5    5    6
#>  [4994,]    1    2    3    4    2    5    5    5    5
#>  [4995,]    1    2    3    1    4    5    6    7    8
#>  [4996,]    1    2    3    4    2    5    6    7    7
#>  [4997,]    1    2    3    4    5    6    7    8    8
#>  [4998,]    1    2    3    3    4    5    6    7    8
#>  [4999,]    1    2    3    3    4    5    6    6    7
#>  [5000,]    1    2    1    3    4    5    5    6    7
#>  [5001,]    1    1    2    1    2    3    4    3    5
#>  [5002,]    1    1    1    1    2    3    4    5    5
#>  [5003,]    1    2    2    3    4    5    6    7    6
#>  [5004,]    1    2    3    4    1    5    6    7    8
#>  [5005,]    1    1    2    2    2    3    4    5    6
#>  [5006,]    1    2    3    4    5    6    7    8    7
#>  [5007,]    1    1    2    2    3    4    4    4    5
#>  [5008,]    1    2    3    3    4    5    6    7    6
#>  [5009,]    1    2    2    3    2    4    5    6    7
#>  [5010,]    1    2    3    3    2    4    4    5    5
#>  [5011,]    1    2    3    4    4    5    5    6    7
#>  [5012,]    1    2    2    3    2    4    4    5    4
#>  [5013,]    1    1    1    1    1    2    3    2    2
#>  [5014,]    1    1    1    1    1    2    3    4    5
#>  [5015,]    1    2    2    3    4    5    6    7    6
#>  [5016,]    1    1    2    2    1    3    4    4    4
#>  [5017,]    1    1    1    1    1    2    3    2    4
#>  [5018,]    1    1    1    1    1    2    2    2    3
#>  [5019,]    1    1    1    2    1    3    3    3    3
#>  [5020,]    1    1    1    2    1    3    3    3    3
#>  [5021,]    1    1    1    1    1    2    3    2    2
#>  [5022,]    1    2    2    2    2    3    3    3    3
#>  [5023,]    1    1    1    1    1    2    2    2    3
#>  [5024,]    1    1    1    2    1    3    3    3    3
#>  [5025,]    1    2    1    1    1    3    4    4    4
#>  [5026,]    1    1    1    1    1    2    3    4    3
#>  [5027,]    1    1    1    1    1    2    3    4    5
#>  [5028,]    1    1    1    1    2    3    4    5    5
#>  [5029,]    1    1    2    2    1    3    4    5    5
#>  [5030,]    1    2    1    1    1    3    4    3    5
#>  [5031,]    1    2    2    3    2    4    5    6    5
#>  [5032,]    1    1    2    2    2    3    4    5    4
#>  [5033,]    1    2    3    1    4    5    5    6    7
#>  [5034,]    1    1    1    1    1    2    3    3    4
#>  [5035,]    1    1    1    1    1    2    3    2    4
#>  [5036,]    1    2    2    2    2    3    4    3    5
#>  [5037,]    1    1    1    1    1    2    3    2    4
#>  [5038,]    1    2    2    2    2    3    3    4    3
#>  [5039,]    1    2    3    4    4    5    5    5    5
#>  [5040,]    1    2    2    2    3    4    4    4    4
#>  [5041,]    1    2    2    2    3    4    4    4    5
#>  [5042,]    1    2    3    4    5    6    6    7    8
#>  [5043,]    1    2    3    4    4    5    6    7    8
#>  [5044,]    1    2    3    4    5    6    7    8    9
#>  [5045,]    1    2    3    1    4    5    6    7    8
#>  [5046,]    1    2    3    4    5    6    7    8    9
#>  [5047,]    1    2    3    2    2    4    5    6    7
#>  [5048,]    1    1    2    3    4    5    5    6    7
#>  [5049,]    1    2    3    4    1    5    6    7    8
#>  [5050,]    1    2    3    4    3    5    6    7    8
#>  [5051,]    1    2    3    1    4    5    6    6    7
#>  [5052,]    1    2    2    2    2    3    4    5    6
#>  [5053,]    1    1    1    1    2    3    4    3    5
#>  [5054,]    1    2    1    3    4    5    5    5    6
#>  [5055,]    1    2    3    4    4    5    6    6    7
#>  [5056,]    1    2    3    3    3    4    5    4    6
#>  [5057,]    1    1    2    3    4    5    6    5    7
#>  [5058,]    1    2    3    4    4    5    6    5    6
#>  [5059,]    1    1    1    1    1    2    3    4    4
#>  [5060,]    1    1    1    1    2    3    3    4    3
#>  [5061,]    1    1    1    2    1    3    3    3    3
#>  [5062,]    1    1    1    2    3    4    5    5    5
#>  [5063,]    1    2    3    3    2    4    4    4    5
#>  [5064,]    1    1    2    1    3    4    4    5    6
#>  [5065,]    1    2    3    4    5    6    7    7    8
#>  [5066,]    1    2    3    4    5    6    7    8    9
#>  [5067,]    1    2    3    4    5    6    6    7    8
#>  [5068,]    1    2    3    2    4    5    6    7    7
#>  [5069,]    1    2    2    3    2    4    5    5    5
#>  [5070,]    1    1    2    3    2    4    5    6    7
#>  [5071,]    1    2    3    3    4    5    6    7    8
#>  [5072,]    1    2    3    4    3    5    6    7    6
#>  [5073,]    1    2    1    1    3    4    4    5    4
#>  [5074,]    1    2    2    3    2    4    4    4    5
#>  [5075,]    1    2    1    1    1    3    4    4    4
#>  [5076,]    1    1    1    1    1    2    3    4    4
#>  [5077,]    1    1    1    1    1    2    3    3    3
#>  [5078,]    1    2    2    2    1    3    4    5    6
#>  [5079,]    1    2    1    2    1    3    4    4    5
#>  [5080,]    1    2    3    2    4    5    5    5    5
#>  [5081,]    1    1    2    3    2    4    5    6    4
#>  [5082,]    1    2    3    4    5    6    7    8    6
#>  [5083,]    1    2    2    3    4    5    6    7    7
#>  [5084,]    1    1    2    1    3    4    5    6    5
#>  [5085,]    1    2    3    3    4    5    6    6    7
#>  [5086,]    1    2    3    4    5    6    7    8    9
#>  [5087,]    1    2    3    3    4    5    6    7    8
#>  [5088,]    1    2    3    4    1    5    6    7    6
#>  [5089,]    1    2    1    3    1    4    5    6    7
#>  [5090,]    1    2    3    4    2    5    6    7    6
#>  [5091,]    1    2    3    3    3    4    4    5    4
#>  [5092,]    1    1    2    2    3    4    5    4    5
#>  [5093,]    1    2    1    3    4    5    6    5    6
#>  [5094,]    1    1    2    3    4    5    6    7    8
#>  [5095,]    1    2    3    4    4    5    6    7    8
#>  [5096,]    1    2    2    3    3    4    5    6    4
#>  [5097,]    1    1    1    2    2    3    4    3    4
#>  [5098,]    1    1    1    2    1    3    4    3    3
#>  [5099,]    1    1    1    1    1    2    3    3    3
#>  [5100,]    1    1    1    1    1    2    2    2    2
#>  [5101,]    1    1    1    1    1    2    3    2    2
#>  [5102,]    1    1    1    2    1    3    3    3    3
#>  [5103,]    1    1    1    1    1    2    2    2    2
#>  [5104,]    1    1    1    1    1    2    3    3    3
#>  [5105,]    1    1    1    2    1    3    4    3    4
#>  [5106,]    1    2    2    2    2    3    4    5    6
#>  [5107,]    1    2    2    2    2    3    4    5    6
#>  [5108,]    1    2    1    3    2    4    5    6    7
#>  [5109,]    1    2    3    4    5    6    7    7    8
#>  [5110,]    1    2    3    4    2    5    6    7    8
#>  [5111,]    1    1    2    2    3    4    5    6    5
#>  [5112,]    1    2    3    3    4    5    6    7    6
#>  [5113,]    1    2    3    1    1    4    4    5    6
#>  [5114,]    1    1    1    2    2    3    4    2    5
#>  [5115,]    1    2    3    4    5    6    7    7    8
#>  [5116,]    1    2    3    3    3    4    5    4    6
#>  [5117,]    1    1    2    3    4    5    6    6    7
#>  [5118,]    1    2    3    4    5    6    7    8    9
#>  [5119,]    1    2    3    4    4    5    6    7    8
#>  [5120,]    1    2    3    3    4    5    6    7    8
#>  [5121,]    1    1    2    1    3    4    5    4    5
#>  [5122,]    1    2    3    4    5    6    7    8    9
#>  [5123,]    1    2    1    2    3    4    5    5    4
#>  [5124,]    1    1    2    3    1    4    5    6    5
#>  [5125,]    1    1    2    3    4    5    6    6    7
#>  [5126,]    1    2    3    3    4    5    6    7    5
#>  [5127,]    1    2    3    1    4    5    6    7    6
#>  [5128,]    1    2    3    3    4    5    6    7    8
#>  [5129,]    1    2    3    3    3    4    4    4    5
#>  [5130,]    1    2    3    4    2    5    6    7    8
#>  [5131,]    1    2    3    4    5    6    7    8    9
#>  [5132,]    1    2    3    4    5    6    7    6    8
#>  [5133,]    1    2    3    4    5    6    7    8    9
#>  [5134,]    1    2    3    4    5    6    7    8    9
#>  [5135,]    1    2    3    4    5    6    7    8    9
#>  [5136,]    1    2    3    4    5    6    7    8    9
#>  [5137,]    1    2    3    4    5    6    7    8    9
#>  [5138,]    1    2    3    3    4    5    6    7    7
#>  [5139,]    1    2    3    4    3    5    6    7    5
#>  [5140,]    1    2    3    4    5    6    7    6    8
#>  [5141,]    1    2    3    4    3    5    6    6    6
#>  [5142,]    1    1    2    2    2    3    3    3    3
#>  [5143,]    1    1    2    2    2    3    4    4    4
#>  [5144,]    1    2    2    3    2    4    4    4    4
#>  [5145,]    1    1    1    1    1    2    3    3    3
#>  [5146,]    1    1    2    3    2    4    5    5    5
#>  [5147,]    1    1    1    1    2    3    4    5    6
#>  [5148,]    1    1    2    3    1    4    5    6    7
#>  [5149,]    1    2    3    4    5    6    6    7    8
#>  [5150,]    1    2    3    4    5    6    7    8    6
#>  [5151,]    1    2    3    4    5    6    6    7    8
#>  [5152,]    1    2    1    2    3    4    5    6    5
#>  [5153,]    1    1    1    2    3    4    5    6    7
#>  [5154,]    1    2    3    4    5    6    7    8    8
#>  [5155,]    1    2    3    2    2    4    5    5    6
#>  [5156,]    1    2    2    2    2    3    3    3    4
#>  [5157,]    1    1    1    1    1    2    2    2    3
#>  [5158,]    1    1    1    1    1    2    2    3    2
#>  [5159,]    1    1    1    1    1    2    2    2    2
#>  [5160,]    1    1    1    1    1    2    2    2    2
#>  [5161,]    1    1    1    1    1    2    2    2    2
#>  [5162,]    1    2    3    2    1    4    5    6    7
#>  [5163,]    1    1    2    3    2    4    5    6    7
#>  [5164,]    1    1    1    2    1    3    4    5    5
#>  [5165,]    1    2    1    3    3    4    5    5    5
#>  [5166,]    1    2    2    3    2    4    4    5    4
#>  [5167,]    1    2    3    2    3    4    5    6    6
#>  [5168,]    1    1    2    3    1    4    5    4    4
#>  [5169,]    1    2    2    2    3    4    5    4    4
#>  [5170,]    1    2    3    2    4    5    6    5    7
#>  [5171,]    1    2    3    4    2    5    6    7    8
#>  [5172,]    1    2    3    2    3    4    5    6    7
#>  [5173,]    1    1    1    1    2    3    4    5    6
#>  [5174,]    1    1    1    2    3    4    4    5    5
#>  [5175,]    1    2    1    2    3    4    5    6    7
#>  [5176,]    1    2    3    1    4    5    6    7    6
#>  [5177,]    1    2    3    3    4    5    6    7    8
#>  [5178,]    1    1    2    2    1    3    3    4    5
#>  [5179,]    1    2    3    2    2    4    4    4    5
#>  [5180,]    1    2    2    2    3    4    4    4    5
#>  [5181,]    1    1    2    2    2    3    3    3    3
#>  [5182,]    1    1    2    3    1    4    4    4    5
#>  [5183,]    1    2    1    2    3    4    4    4    4
#>  [5184,]    1    1    2    1    2    3    4    4    4
#>  [5185,]    1    2    1    1    1    3    4    5    5
#>  [5186,]    1    2    3    3    4    5    6    6    6
#>  [5187,]    1    1    1    1    1    2    2    2    3
#>  [5188,]    1    1    1    1    2    3    3    3    4
#>  [5189,]    1    2    2    3    4    5    6    7    7
#>  [5190,]    1    1    2    3    4    5    6    6    7
#>  [5191,]    1    1    2    3    3    4    5    6    7
#>  [5192,]    1    2    3    4    5    6    7    6    8
#>  [5193,]    1    2    3    2    4    5    6    5    5
#>  [5194,]    1    2    2    1    3    4    4    4    4
#>  [5195,]    1    1    2    3    2    4    4    4    4
#>  [5196,]    1    1    1    1    1    2    3    2    2
#>  [5197,]    1    1    2    1    1    3    3    3    3
#>  [5198,]    1    1    1    1    1    2    2    2    2
#>  [5199,]    1    1    1    1    1    2    2    2    2
#>  [5200,]    1    1    1    1    1    2    2    2    2
#>  [5201,]    1    1    1    1    1    2    2    2    2
#>  [5202,]    1    1    2    2    2    3    3    4    3
#>  [5203,]    1    2    2    3    4    5    5    6    5
#>  [5204,]    1    2    3    4    4    5    6    7    5
#>  [5205,]    1    1    2    2    2    3    4    4    5
#>  [5206,]    1    2    2    3    3    4    5    6    6
#>  [5207,]    1    1    2    1    2    3    4    4    3
#>  [5208,]    1    2    2    2    3    4    5    4    4
#>  [5209,]    1    2    2    2    3    4    5    4    6
#>  [5210,]    1    2    1    2    2    3    4    5    5
#>  [5211,]    1    1    2    3    1    4    4    5    6
#>  [5212,]    1    2    2    2    2    3    4    5    4
#>  [5213,]    1    2    2    2    2    3    4    3    3
#>  [5214,]    1    2    2    2    2    3    3    3    3
#>  [5215,]    1    2    2    2    3    4    4    4    5
#>  [5216,]    1    1    2    3    2    4    5    6    6
#>  [5217,]    1    2    1    2    3    4    4    5    6
#>  [5218,]    1    2    1    1    3    4    5    4    4
#>  [5219,]    1    1    2    2    3    4    5    5    6
#>  [5220,]    1    1    2    1    1    3    4    5    5
#>  [5221,]    1    1    1    2    2    3    4    3    4
#>  [5222,]    1    2    3    1    4    5    6    6    6
#>  [5223,]    1    2    3    3    1    4    4    5    6
#>  [5224,]    1    2    2    2    1    3    4    3    5
#>  [5225,]    1    1    1    2    3    4    4    5    5
#>  [5226,]    1    1    1    1    1    2    2    3    2
#>  [5227,]    1    1    1    1    1    2    3    3    2
#>  [5228,]    1    1    1    1    1    2    2    2    2
#>  [5229,]    1    1    2    2    1    3    3    3    3
#>  [5230,]    1    2    1    1    2    3    3    3    3
#>  [5231,]    1    1    2    2    2    3    3    3    4
#>  [5232,]    1    2    2    2    2    3    3    3    4
#>  [5233,]    1    2    3    3    3    4    5    5    5
#>  [5234,]    1    2    1    3    4    5    6    7    8
#>  [5235,]    1    2    3    3    3    4    5    6    7
#>  [5236,]    1    2    3    3    3    4    5    4    6
#>  [5237,]    1    2    3    4    5    6    7    7    8
#>  [5238,]    1    2    2    2    2    3    4    5    4
#>  [5239,]    1    2    2    2    3    4    5    6    7
#>  [5240,]    1    2    3    4    5    6    6    6    7
#>  [5241,]    1    1    2    2    3    4    5    6    7
#>  [5242,]    1    2    2    3    2    4    5    6    6
#>  [5243,]    1    2    2    3    4    5    6    6    7
#>  [5244,]    1    2    3    4    5    6    6    6    7
#>  [5245,]    1    2    1    3    1    4    4    5    6
#>  [5246,]    1    2    3    4    2    5    6    6    7
#>  [5247,]    1    2    3    4    5    6    7    6    8
#>  [5248,]    1    2    1    3    4    5    6    7    8
#>  [5249,]    1    2    3    4    4    5    6    7    8
#>  [5250,]    1    2    3    2    4    5    6    7    6
#>  [5251,]    1    2    2    2    2    3    4    4    5
#>  [5252,]    1    1    2    3    4    5    6    7    8
#>  [5253,]    1    1    2    3    4    5    6    7    8
#>  [5254,]    1    2    1    2    3    4    5    5    6
#>  [5255,]    1    2    2    3    4    5    5    6    7
#>  [5256,]    1    2    1    3    3    4    5    6    5
#>  [5257,]    1    1    2    3    4    5    6    5    7
#>  [5258,]    1    2    3    4    3    5    6    7    8
#>  [5259,]    1    2    3    4    5    6    7    8    9
#>  [5260,]    1    2    2    1    1    3    4    5    5
#>  [5261,]    1    2    3    4    5    6    6    6    6
#>  [5262,]    1    2    1    3    1    4    4    4    4
#>  [5263,]    1    2    3    1    1    4    5    4    5
#>  [5264,]    1    2    3    2    3    4    5    5    5
#>  [5265,]    1    2    1    1    3    4    5    5    4
#>  [5266,]    1    2    3    1    4    5    5    5    6
#>  [5267,]    1    2    3    4    3    5    6    7    6
#>  [5268,]    1    1    2    1    2    3    4    3    4
#>  [5269,]    1    2    2    3    1    4    5    4    6
#>  [5270,]    1    2    3    4    5    6    7    8    9
#>  [5271,]    1    2    3    3    4    5    6    7    8
#>  [5272,]    1    2    3    3    3    4    4    4    5
#>  [5273,]    1    2    3    4    1    5    6    7    8
#>  [5274,]    1    2    3    1    4    5    6    6    7
#>  [5275,]    1    2    1    3    1    4    4    5    4
#>  [5276,]    1    1    1    2    1    3    4    5    5
#>  [5277,]    1    1    2    2    3    4    5    6    7
#>  [5278,]    1    2    3    4    5    6    7    6    8
#>  [5279,]    1    2    3    4    4    5    6    7    5
#>  [5280,]    1    2    2    2    3    4    5    6    7
#>  [5281,]    1    2    2    3    4    5    6    7    8
#>  [5282,]    1    1    2    3    2    4    5    6    6
#>  [5283,]    1    2    3    4    3    5    6    7    8
#>  [5284,]    1    2    3    1    3    4    5    6    5
#>  [5285,]    1    1    2    1    3    4    5    4    4
#>  [5286,]    1    2    3    3    3    4    5    6    5
#>  [5287,]    1    2    2    2    3    4    5    5    5
#>  [5288,]    1    1    1    1    1    2    3    3    3
#>  [5289,]    1    1    1    1    1    2    2    2    2
#>  [5290,]    1    1    1    1    1    2    2    2    2
#>  [5291,]    1    1    1    1    2    3    3    3    3
#>  [5292,]    1    1    1    1    2    3    3    3    3
#>  [5293,]    1    1    1    1    1    2    2    2    2
#>  [5294,]    1    1    1    1    2    3    4    3    3
#>  [5295,]    1    1    1    1    1    2    3    3    4
#>  [5296,]    1    2    3    4    4    5    6    5    7
#>  [5297,]    1    2    3    2    4    5    5    6    5
#>  [5298,]    1    2    1    2    3    4    5    6    4
#>  [5299,]    1    2    2    3    4    5    6    7    5
#>  [5300,]    1    2    2    3    2    4    4    5    5
#>  [5301,]    1    1    2    3    3    4    5    6    5
#>  [5302,]    1    2    3    4    5    6    6    7    7
#>  [5303,]    1    2    3    4    5    6    6    7    8
#>  [5304,]    1    2    3    4    5    6    7    8    6
#>  [5305,]    1    2    3    4    4    5    6    5    7
#>  [5306,]    1    2    3    4    5    6    7    7    8
#>  [5307,]    1    2    3    3    1    4    5    4    6
#>  [5308,]    1    2    3    4    5    6    7    6    8
#>  [5309,]    1    2    3    1    4    5    6    7    8
#>  [5310,]    1    2    3    3    4    5    6    7    6
#>  [5311,]    1    2    1    1    3    4    5    5    6
#>  [5312,]    1    2    2    2    2    3    4    4    4
#>  [5313,]    1    1    1    1    2    3    4    4    4
#>  [5314,]    1    1    1    1    1    2    2    2    2
#>  [5315,]    1    1    1    1    1    2    2    2    2
#>  [5316,]    1    1    1    1    1    2    3    2    2
#>  [5317,]    1    1    1    2    2    3    4    3    3
#>  [5318,]    1    2    2    2    2    3    4    5    4
#>  [5319,]    1    2    2    2    2    3    4    4    4
#>  [5320,]    1    1    1    1    1    2    3    3    3
#>  [5321,]    1    1    1    1    2    3    3    3    3
#>  [5322,]    1    1    1    1    1    2    2    2    2
#>  [5323,]    1    1    1    1    1    2    2    2    3
#>  [5324,]    1    1    1    1    1    2    3    4    2
#>  [5325,]    1    1    1    1    1    2    3    2    3
#>  [5326,]    1    1    1    1    1    2    2    2    3
#>  [5327,]    1    1    1    1    1    2    2    3    2
#>  [5328,]    1    1    1    2    3    4    4    4    4
#>  [5329,]    1    1    2    1    1    3    3    3    4
#>  [5330,]    1    2    2    2    3    3    4    5    6
#>  [5331,]    1    2    1    2    1    3    3    3    3
#>  [5332,]    1    1    1    2    1    3    3    3    3
#>  [5333,]    1    2    1    1    1    3    4    5    4
#>  [5334,]    1    2    3    3    4    5    5    6    5
#>  [5335,]    1    2    1    1    1    3    4    3    5
#>  [5336,]    1    1    1    1    1    2    3    4    4
#>  [5337,]    1    1    1    1    1    2    2    3    2
#>  [5338,]    1    1    1    1    1    2    2    3    2
#>  [5339,]    1    1    1    1    1    2    2    3    2
#>  [5340,]    1    2    1    1    1    3    4    3    4
#>  [5341,]    1    1    1    1    1    2    2    2    2
#>  [5342,]    1    1    1    1    1    2    2    2    2
#>  [5343,]    1    1    1    1    1    2    2    2    2
#>  [5344,]    1    1    1    1    1    2    2    2    2
#>  [5345,]    1    1    1    1    1    2    2    2    2
#>  [5346,]    1    1    2    2    2    3    4    4    4
#>  [5347,]    1    1    2    1    1    3    3    3    3
#>  [5348,]    1    1    2    3    2    4    4    4    4
#>  [5349,]    1    1    1    1    1    2    3    3    3
#>  [5350,]    1    1    1    1    1    2    3    3    3
#>  [5351,]    1    1    1    1    1    2    2    2    2
#>  [5352,]    1    2    2    1    1    3    4    3    5
#>  [5353,]    1    2    2    3    4    5    6    7    6
#>  [5354,]    1    1    2    3    4    5    5    5    5
#>  [5355,]    1    2    3    3    4    5    5    6    5
#>  [5356,]    1    2    2    3    2    4    5    5    6
#>  [5357,]    1    1    1    1    1    2    2    3    2
#>  [5358,]    1    1    1    1    1    2    2    2    2
#>  [5359,]    1    2    3    2    3    4    4    4    4
#>  [5360,]    1    1    1    2    2    3    4    3    4
#>  [5361,]    1    1    1    1    2    3    4    4    4
#>  [5362,]    1    1    1    1    1    2    3    4    3
#>  [5363,]    1    1    1    1    1    2    2    2    2
#>  [5364,]    1    1    1    1    2    3    3    3    3
#>  [5365,]    1    1    2    3    2    4    5    4    5
#>  [5366,]    1    2    2    2    2    3    3    4    5
#>  [5367,]    1    2    2    3    1    4    5    6    7
#>  [5368,]    1    1    1    2    2    3    4    5    5
#>  [5369,]    1    1    2    2    2    3    4    5    4
#>  [5370,]    1    2    1    3    2    4    4    4    4
#>  [5371,]    1    2    3    3    2    4    5    6    5
#>  [5372,]    1    1    2    2    2    3    3    3    3
#>  [5373,]    1    1    1    1    1    2    2    2    2
#>  [5374,]    1    1    1    1    1    2    2    2    2
#>  [5375,]    1    1    1    1    1    2    2    2    2
#>  [5376,]    1    2    1    1    3    4    5    5    5
#>  [5377,]    1    1    2    2    3    4    4    5    5
#>  [5378,]    1    2    3    1    4    5    6    6    7
#>  [5379,]    1    1    2    3    4    5    5    6    5
#>  [5380,]    1    2    3    1    1    4    5    6    7
#>  [5381,]    1    2    3    4    5    6    7    8    9
#>  [5382,]    1    2    3    4    2    5    6    7    8
#>  [5383,]    1    2    3    3    3    4    5    5    5
#>  [5384,]    1    1    1    1    1    2    3    4    4
#>  [5385,]    1    1    2    1    3    4    4    5    5
#>  [5386,]    1    2    2    3    2    4    4    4    5
#>  [5387,]    1    2    3    1    1    4    5    6    5
#>  [5388,]    1    1    1    1    1    2    3    3    3
#>  [5389,]    1    1    1    1    1    2    3    3    3
#>  [5390,]    1    2    1    1    1    3    3    3    3
#>  [5391,]    1    1    1    1    1    2    3    3    3
#>  [5392,]    1    1    1    1    1    2    3    3    3
#>  [5393,]    1    1    1    1    1    2    3    2    2
#>  [5394,]    1    1    1    2    3    4    4    4    4
#>  [5395,]    1    2    3    2    2    4    5    6    4
#>  [5396,]    1    2    3    2    2    4    5    6    6
#>  [5397,]    1    2    3    2    1    4    5    6    5
#>  [5398,]    1    2    3    2    4    5    6    7    8
#>  [5399,]    1    1    2    3    4    5    6    7    8
#>  [5400,]    1    2    3    4    5    6    7    8    8
#>  [5401,]    1    2    3    4    5    6    7    8    9
#>  [5402,]    1    2    3    4    5    6    7    8    9
#>  [5403,]    1    1    1    1    2    3    4    3    5
#>  [5404,]    1    2    3    2    4    5    6    7    8
#>  [5405,]    1    2    3    2    2    4    4    5    4
#>  [5406,]    1    2    3    4    3    5    5    6    6
#>  [5407,]    1    1    1    1    2    3    3    3    3
#>  [5408,]    1    2    1    2    1    3    4    4    4
#>  [5409,]    1    1    1    1    1    2    2    2    2
#>  [5410,]    1    1    2    1    1    3    3    3    3
#>  [5411,]    1    2    1    1    1    3    3    4    4
#>  [5412,]    1    1    1    1    1    2    3    3    2
#>  [5413,]    1    2    1    1    1    3    4    4    4
#>  [5414,]    1    2    1    1    3    4    5    6    5
#>  [5415,]    1    2    3    3    4    5    5    5    6
#>  [5416,]    1    2    1    2    1    3    4    5    4
#>  [5417,]    1    1    1    1    1    2    2    3    4
#>  [5418,]    1    1    1    2    1    3    4    4    4
#>  [5419,]    1    2    2    2    2    3    4    5    5
#>  [5420,]    1    2    3    2    2    4    5    6    7
#>  [5421,]    1    2    3    1    3    4    5    6    6
#>  [5422,]    1    1    1    1    2    3    4    5    4
#>  [5423,]    1    2    1    3    1    4    4    4    5
#>  [5424,]    1    2    3    4    1    5    5    6    7
#>  [5425,]    1    2    2    2    2    3    4    4    4
#>  [5426,]    1    2    2    1    1    3    4    4    4
#>  [5427,]    1    1    2    3    3    4    5    6    6
#>  [5428,]    1    2    3    4    5    6    7    6    8
#>  [5429,]    1    2    3    3    4    5    6    6    7
#>  [5430,]    1    2    1    3    4    5    6    7    7
#>  [5431,]    1    2    3    4    5    6    7    8    9
#>  [5432,]    1    2    1    1    1    3    4    5    6
#>  [5433,]    1    2    2    3    1    4    5    6    6
#>  [5434,]    1    2    3    1    1    4    5    6    6
#>  [5435,]    1    2    3    1    3    4    5    4    6
#>  [5436,]    1    2    3    4    5    6    7    8    9
#>  [5437,]    1    2    2    3    2    4    5    6    6
#>  [5438,]    1    2    3    2    2    4    5    5    5
#>  [5439,]    1    2    2    3    3    4    5    6    7
#>  [5440,]    1    2    1    2    2    3    4    3    3
#>  [5441,]    1    2    2    2    2    3    4    5    4
#>  [5442,]    1    2    1    1    3    4    5    6    6
#>  [5443,]    1    1    2    3    4    5    6    6    6
#>  [5444,]    1    2    3    4    3    5    6    6    5
#>  [5445,]    1    2    1    3    2    4    5    6    7
#>  [5446,]    1    2    3    4    5    5    6    7    7
#>  [5447,]    1    1    1    2    1    3    3    3    3
#>  [5448,]    1    1    2    2    2    3    4    5    6
#>  [5449,]    1    2    3    2    2    4    5    6    7
#>  [5450,]    1    1    2    3    4    5    6    7    8
#>  [5451,]    1    2    3    3    4    5    6    7    6
#>  [5452,]    1    1    1    1    2    3    3    3    3
#>  [5453,]    1    1    1    2    1    3    4    4    4
#>  [5454,]    1    1    1    2    2    3    3    3    3
#>  [5455,]    1    1    1    2    1    3    4    3    3
#>  [5456,]    1    2    3    1    4    5    6    6    7
#>  [5457,]    1    2    3    4    5    6    6    7    8
#>  [5458,]    1    2    2    3    4    5    5    6    6
#>  [5459,]    1    2    2    2    2    3    4    4    4
#>  [5460,]    1    1    1    1    2    3    4    5    6
#>  [5461,]    1    1    1    1    2    3    4    5    4
#>  [5462,]    1    1    1    2    1    3    4    4    5
#>  [5463,]    1    1    1    2    1    3    4    5    4
#>  [5464,]    1    1    2    1    1    3    4    4    4
#>  [5465,]    1    2    1    1    1    3    3    3    4
#>  [5466,]    1    1    1    1    1    2    2    3    2
#>  [5467,]    1    1    1    1    1    2    3    2    4
#>  [5468,]    1    2    1    1    1    3    4    4    4
#>  [5469,]    1    2    2    3    2    4    4    4    5
#>  [5470,]    1    2    3    2    2    4    5    4    5
#>  [5471,]    1    2    3    1    2    4    5    6    5
#>  [5472,]    1    1    2    1    3    4    5    5    6
#>  [5473,]    1    2    1    3    2    4    5    6    7
#>  [5474,]    1    1    1    1    2    3    4    5    5
#>  [5475,]    1    2    1    3    1    4    5    6    4
#>  [5476,]    1    2    3    4    1    5    6    7    7
#>  [5477,]    1    2    3    4    1    5    6    7    5
#>  [5478,]    1    2    3    4    4    5    6    7    7
#>  [5479,]    1    2    3    4    2    5    6    7    8
#>  [5480,]    1    1    2    3    4    5    6    7    8
#>  [5481,]    1    2    3    4    4    5    6    6    7
#>  [5482,]    1    2    3    4    5    6    7    8    9
#>  [5483,]    1    2    3    4    5    6    7    8    8
#>  [5484,]    1    2    2    3    4    5    6    5    7
#>  [5485,]    1    2    3    4    5    6    7    8    9
#>  [5486,]    1    2    3    3    3    4    4    5    6
#>  [5487,]    1    2    2    2    2    3    4    4    4
#>  [5488,]    1    1    1    1    1    2    3    4    4
#>  [5489,]    1    1    1    1    1    2    2    2    2
#>  [5490,]    1    2    1    2    2    3    4    4    4
#>  [5491,]    1    1    1    1    1    2    3    2    3
#>  [5492,]    1    1    1    1    1    2    3    3    2
#>  [5493,]    1    1    1    1    1    2    2    2    2
#>  [5494,]    1    2    2    3    2    4    4    5    4
#>  [5495,]    1    2    2    3    4    5    5    5    6
#>  [5496,]    1    2    2    3    2    4    5    6    6
#>  [5497,]    1    1    2    3    3    4    5    6    5
#>  [5498,]    1    2    3    4    2    5    6    5    7
#>  [5499,]    1    2    3    3    4    5    6    7    8
#>  [5500,]    1    2    3    4    4    5    6    6    6
#>  [5501,]    1    1    2    1    2    3    4    5    6
#>  [5502,]    1    2    2    3    4    5    6    7    6
#>  [5503,]    1    2    3    3    3    4    5    6    5
#>  [5504,]    1    2    1    1    3    4    5    5    5
#>  [5505,]    1    1    2    1    1    3    3    3    4
#>  [5506,]    1    1    1    1    2    3    3    3    4
#>  [5507,]    1    1    2    2    2    3    4    3    3
#>  [5508,]    1    1    1    2    2    3    3    3    3
#>  [5509,]    1    1    2    1    3    4    4    4    5
#>  [5510,]    1    2    2    1    3    4    5    6    7
#>  [5511,]    1    1    2    3    3    4    5    6    5
#>  [5512,]    1    2    3    3    1    4    5    6    7
#>  [5513,]    1    2    3    2    4    5    6    5    5
#>  [5514,]    1    1    1    2    3    4    5    5    6
#>  [5515,]    1    2    3    4    5    6    7    6    8
#>  [5516,]    1    2    3    1    3    4    5    5    6
#>  [5517,]    1    2    2    2    3    4    5    5    6
#>  [5518,]    1    2    1    1    1    3    4    4    5
#>  [5519,]    1    1    1    1    1    2    3    4    5
#>  [5520,]    1    1    1    1    1    2    3    3    4
#>  [5521,]    1    1    1    1    2    3    3    3    3
#>  [5522,]    1    2    3    1    2    4    5    5    5
#>  [5523,]    1    1    1    2    1    3    3    3    3
#>  [5524,]    1    1    1    2    1    3    3    3    3
#>  [5525,]    1    2    2    3    3    4    4    4    4
#>  [5526,]    1    2    3    1    1    4    4    4    5
#>  [5527,]    1    2    3    4    4    5    5    5    6
#>  [5528,]    1    1    2    2    2    3    4    3    5
#>  [5529,]    1    1    1    2    3    4    5    5    5
#>  [5530,]    1    1    2    3    4    5    6    6    6
#>  [5531,]    1    2    3    4    3    5    6    7    6
#>  [5532,]    1    2    3    4    5    6    7    7    8
#>  [5533,]    1    2    3    3    3    4    5    6    7
#>  [5534,]    1    2    3    4    2    5    6    6    7
#>  [5535,]    1    2    1    3    4    5    6    7    8
#>  [5536,]    1    2    3    3    4    5    6    7    8
#>  [5537,]    1    2    3    4    5    6    7    8    9
#>  [5538,]    1    2    3    4    5    6    7    8    9
#>  [5539,]    1    2    3    3    4    5    6    7    8
#>  [5540,]    1    2    3    4    5    6    7    8    8
#>  [5541,]    1    2    3    4    5    6    7    7    8
#>  [5542,]    1    2    3    4    5    6    7    8    9
#>  [5543,]    1    1    2    3    4    5    6    7    8
#>  [5544,]    1    2    3    4    5    6    7    8    9
#>  [5545,]    1    2    3    4    5    6    7    8    9
#>  [5546,]    1    2    3    4    5    6    7    8    9
#>  [5547,]    1    1    2    3    4    5    6    7    8
#>  [5548,]    1    1    2    3    4    5    6    7    7
#>  [5549,]    1    2    3    4    4    5    6    6    7
#>  [5550,]    1    2    1    3    4    5    6    7    8
#>  [5551,]    1    2    3    4    5    6    7    7    8
#>  [5552,]    1    2    3    4    5    6    7    7    7
#>  [5553,]    1    2    3    4    5    6    6    6    6
#>  [5554,]    1    2    2    3    4    5    5    5    5
#>  [5555,]    1    2    1    1    3    4    5    6    6
#>  [5556,]    1    2    3    4    5    6    6    6    7
#>  [5557,]    1    1    1    1    1    2    2    2    3
#>  [5558,]    1    1    1    1    1    2    2    2    3
#>  [5559,]    1    2    3    2    2    4    5    6    6
#>  [5560,]    1    2    2    2    1    3    4    5    6
#>  [5561,]    1    2    2    3    2    4    5    6    7
#>  [5562,]    1    1    1    2    2    3    4    5    6
#>  [5563,]    1    2    2    2    2    3    4    3    5
#>  [5564,]    1    2    2    3    3    4    5    6    7
#>  [5565,]    1    1    2    2    3    4    4    4    4
#>  [5566,]    1    2    2    3    2    4    4    4    5
#>  [5567,]    1    2    3    4    5    6    6    2    7
#>  [5568,]    1    2    3    2    3    4    5    4    6
#>  [5569,]    1    1    1    1    1    2    3    3    4
#>  [5570,]    1    1    1    1    1    2    3    3    3
#>  [5571,]    1    1    1    1    1    2    3    3    3
#>  [5572,]    1    1    1    1    2    3    3    3    3
#>  [5573,]    1    2    2    2    2    3    4    3    5
#>  [5574,]    1    1    1    2    3    4    5    6    5
#>  [5575,]    1    1    2    1    1    3    4    4    4
#>  [5576,]    1    2    3    4    3    5    6    6    7
#>  [5577,]    1    2    3    3    4    5    6    7    6
#>  [5578,]    1    2    1    3    1    4    5    5    4
#>  [5579,]    1    2    3    3    2    4    4    5    4
#>  [5580,]    1    2    2    3    3    4    5    6    7
#>  [5581,]    1    1    1    2    3    4    4    5    5
#>  [5582,]    1    1    1    1    1    2    3    2    4
#>  [5583,]    1    1    1    1    1    2    2    3    2
#>  [5584,]    1    1    1    1    2    3    4    4    4
#>  [5585,]    1    2    3    4    1    5    6    6    6
#>  [5586,]    1    1    2    1    2    3    4    4    4
#>  [5587,]    1    1    1    1    1    2    3    3    3
#>  [5588,]    1    1    1    1    1    2    2    3    3
#>  [5589,]    1    1    1    1    1    2    2    2    3
#>  [5590,]    1    1    1    2    1    3    3    3    4
#>  [5591,]    1    2    1    1    3    4    5    5    6
#>  [5592,]    1    2    3    4    2    5    6    6    6
#>  [5593,]    1    1    2    3    4    5    6    6    7
#>  [5594,]    1    2    3    4    1    5    5    6    7
#>  [5595,]    1    2    3    3    4    5    6    7    8
#>  [5596,]    1    2    3    4    4    5    6    6    6
#>  [5597,]    1    2    1    3    1    4    5    6    4
#>  [5598,]    1    2    3    2    3    4    4    4    4
#>  [5599,]    1    1    2    2    2    3    3    3    3
#>  [5600,]    1    2    1    2    2    3    3    3    3
#>  [5601,]    1    1    1    1    1    2    2    2    2
#>  [5602,]    1    1    1    1    1    2    2    2    2
#>  [5603,]    1    1    1    1    1    2    2    3    3
#>  [5604,]    1    1    1    1    1    2    3    4    3
#>  [5605,]    1    1    1    1    1    2    2    3    4
#>  [5606,]    1    1    2    1    3    4    4    5    6
#>  [5607,]    1    2    3    1    4    5    6    7    6
#>  [5608,]    1    2    3    1    4    5    6    7    8
#>  [5609,]    1    2    3    4    2    5    6    7    8
#>  [5610,]    1    2    3    4    5    6    7    8    9
#>  [5611,]    1    2    3    1    1    4    4    5    6
#>  [5612,]    1    2    3    3    4    5    6    7    8
#>  [5613,]    1    2    3    4    4    5    6    7    8
#>  [5614,]    1    2    3    2    1    4    5    6    7
#>  [5615,]    1    2    3    4    5    6    7    8    9
#>  [5616,]    1    2    3    4    5    6    7    8    7
#>  [5617,]    1    2    3    4    5    6    7    8    7
#>  [5618,]    1    2    3    4    2    5    6    7    8
#>  [5619,]    1    2    3    2    4    5    6    7    7
#>  [5620,]    1    2    3    4    3    5    6    7    8
#>  [5621,]    1    2    3    3    1    4    5    5    6
#>  [5622,]    1    2    1    1    1    3    4    5    6
#>  [5623,]    1    2    3    2    3    4    5    4    4
#>  [5624,]    1    2    3    1    4    5    6    5    7
#>  [5625,]    1    2    1    3    1    4    5    6    5
#>  [5626,]    1    2    3    2    4    5    6    7    7
#>  [5627,]    1    2    1    3    4    5    6    6    6
#>  [5628,]    1    1    2    1    3    4    5    6    7
#>  [5629,]    1    2    3    1    4    5    6    7    8
#>  [5630,]    1    2    3    2    4    5    6    7    8
#>  [5631,]    1    1    2    3    4    5    6    7    8
#>  [5632,]    1    2    3    4    4    5    6    7    7
#>  [5633,]    1    2    3    3    2    4    4    5    6
#>  [5634,]    1    2    3    1    1    4    5    5    6
#>  [5635,]    1    2    3    2    4    5    6    7    6
#>  [5636,]    1    2    3    4    3    5    5    6    7
#>  [5637,]    1    2    3    4    3    5    6    7    5
#>  [5638,]    1    2    3    4    2    5    6    7    8
#>  [5639,]    1    2    3    4    5    6    7    8    9
#>  [5640,]    1    2    3    4    5    6    7    8    8
#>  [5641,]    1    2    3    4    3    5    6    6    7
#>  [5642,]    1    2    1    3    3    4    5    6    6
#>  [5643,]    1    1    2    3    4    5    6    7    7
#>  [5644,]    1    2    3    2    4    5    6    6    7
#>  [5645,]    1    2    3    4    5    6    7    8    6
#>  [5646,]    1    2    3    4    1    5    6    7    5
#>  [5647,]    1    2    3    4    2    5    6    7    8
#>  [5648,]    1    2    2    1    1    3    4    5    5
#>  [5649,]    1    2    1    3    4    5    6    7    7
#>  [5650,]    1    1    2    1    2    3    3    3    4
#>  [5651,]    1    2    2    3    2    4    5    6    5
#>  [5652,]    1    2    1    1    1    3    4    5    5
#>  [5653,]    1    2    2    2    2    3    4    4    4
#>  [5654,]    1    1    2    1    1    3    4    3    5
#>  [5655,]    1    1    1    1    1    2    3    4    5
#>  [5656,]    1    2    2    2    2    3    4    3    5
#>  [5657,]    1    1    1    1    1    2    3    3    3
#>  [5658,]    1    2    3    3    4    5    5    5    5
#>  [5659,]    1    2    1    1    1    3    3    3    3
#>  [5660,]    1    2    1    1    2    3    3    3    3
#>  [5661,]    1    1    2    2    2    3    4    5    5
#>  [5662,]    1    2    1    1    1    3    4    4    4
#>  [5663,]    1    1    2    2    3    4    5    5    5
#>  [5664,]    1    2    1    2    2    3    4    5    4
#>  [5665,]    1    1    1    1    1    2    3    3    2
#>  [5666,]    1    2    1    1    1    3    3    3    3
#>  [5667,]    1    1    1    1    1    2    2    2    2
#>  [5668,]    1    1    1    1    1    2    2    2    2
#>  [5669,]    1    1    1    1    1    2    2    2    2
#>  [5670,]    1    1    1    1    1    2    3    4    3
#>  [5671,]    1    2    2    2    2    3    4    4    4
#>  [5672,]    1    1    2    2    2    3    3    3    3
#>  [5673,]    1    2    2    2    2    3    4    5    4
#>  [5674,]    1    1    2    3    1    4    5    4    6
#>  [5675,]    1    2    2    2    3    4    4    5    5
#>  [5676,]    1    2    1    3    3    4    4    4    5
#>  [5677,]    1    2    3    4    3    5    6    7    8
#>  [5678,]    1    2    3    4    5    6    7    8    9
#>  [5679,]    1    2    3    4    5    6    7    8    9
#>  [5680,]    1    2    3    4    4    5    5    6    7
#>  [5681,]    1    2    3    3    4    5    6    7    8
#>  [5682,]    1    2    3    4    2    5    6    7    8
#>  [5683,]    1    2    3    1    2    4    5    6    6
#>  [5684,]    1    2    3    3    3    4    5    5    6
#>  [5685,]    1    1    1    1    2    3    4    5    4
#>  [5686,]    1    1    2    1    3    4    5    6    5
#>  [5687,]    1    1    1    1    2    3    4    5    6
#>  [5688,]    1    2    3    4    5    6    7    8    8
#>  [5689,]    1    2    1    3    3    4    4    4    4
#>  [5690,]    1    2    1    1    2    3    4    4    4
#>  [5691,]    1    2    2    2    2    3    3    3    3
#>  [5692,]    1    1    2    1    1    3    4    4    3
#>  [5693,]    1    2    1    2    1    3    3    4    3
#>  [5694,]    1    1    2    3    1    4    5    6    6
#>  [5695,]    1    1    1    1    2    3    3    3    4
#>  [5696,]    1    1    1    1    1    2    3    3    2
#>  [5697,]    1    1    1    1    1    2    3    3    3
#>  [5698,]    1    2    3    4    2    5    6    7    7
#>  [5699,]    1    2    3    4    3    5    6    7    6
#>  [5700,]    1    2    3    4    2    5    6    5    5
#>  [5701,]    1    2    1    3    1    4    4    4    4
#>  [5702,]    1    2    3    1    4    5    5    5    6
#>  [5703,]    1    2    2    2    3    4    5    5    6
#>  [5704,]    1    1    2    2    3    4    5    6    5
#>  [5705,]    1    2    3    4    2    5    6    5    5
#>  [5706,]    1    2    2    3    4    5    6    6    7
#>  [5707,]    1    1    2    3    3    4    4    4    5
#>  [5708,]    1    2    1    3    3    4    4    5    5
#>  [5709,]    1    2    3    4    5    5    6    7    8
#>  [5710,]    1    2    1    3    4    5    6    7    8
#>  [5711,]    1    2    3    3    4    5    6    6    7
#>  [5712,]    1    1    2    3    4    5    6    7    8
#>  [5713,]    1    2    3    1    1    4    5    6    6
#>  [5714,]    1    1    1    2    2    3    4    5    6
#>  [5715,]    1    2    3    3    4    5    6    7    5
#>  [5716,]    1    2    1    2    3    4    4    4    5
#>  [5717,]    1    2    3    1    4    5    5    6    7
#>  [5718,]    1    1    2    1    3    4    5    6    4
#>  [5719,]    1    2    1    1    1    3    4    5    6
#>  [5720,]    1    2    3    2    4    5    6    7    8
#>  [5721,]    1    2    3    3    4    5    6    7    8
#>  [5722,]    1    2    3    1    1    4    5    4    6
#>  [5723,]    1    2    3    4    2    5    6    7    8
#>  [5724,]    1    1    2    3    3    4    5    6    7
#>  [5725,]    1    2    3    3    4    5    6    5    6
#>  [5726,]    1    2    2    2    2    3    3    4    4
#>  [5727,]    1    1    2    1    2    3    4    5    6
#>  [5728,]    1    1    1    1    1    2    3    3    4
#>  [5729,]    1    1    1    1    2    3    3    3    3
#>  [5730,]    1    1    1    1    1    2    2    2    2
#>  [5731,]    1    1    2    1    3    4    5    5    6
#>  [5732,]    1    1    1    1    1    2    3    3    3
#>  [5733,]    1    2    1    3    3    4    4    4    4
#>  [5734,]    1    1    1    1    1    2    3    4    5
#>  [5735,]    1    1    1    1    1    2    3    4    4
#>  [5736,]    1    2    1    1    1    3    3    3    3
#>  [5737,]    1    2    2    2    3    4    4    4    5
#>  [5738,]    1    1    1    1    2    3    3    4    4
#>  [5739,]    1    1    2    3    4    5    5    6    6
#>  [5740,]    1    2    3    4    4    5    6    6    7
#>  [5741,]    1    2    3    2    4    5    6    6    7
#>  [5742,]    1    2    3    4    5    6    7    8    8
#>  [5743,]    1    1    2    3    2    4    5    6    7
#>  [5744,]    1    2    1    3    4    5    6    6    6
#>  [5745,]    1    2    3    3    4    5    6    7    8
#>  [5746,]    1    2    3    4    2    5    6    7    8
#>  [5747,]    1    2    3    4    5    6    7    8    7
#>  [5748,]    1    2    3    3    4    5    6    5    7
#>  [5749,]    1    2    2    3    4    5    6    6    6
#>  [5750,]    1    1    2    2    2    3    4    5    6
#>  [5751,]    1    2    1    1    2    3    3    3    4
#>  [5752,]    1    1    1    2    1    3    4    5    4
#>  [5753,]    1    1    1    1    1    2    3    3    2
#>  [5754,]    1    2    3    2    4    5    5    5    5
#>  [5755,]    1    2    3    4    4    5    6    7    5
#>  [5756,]    1    2    2    2    1    3    4    3    5
#>  [5757,]    1    1    1    2    3    4    4    4    4
#>  [5758,]    1    1    2    3    1    4    4    5    6
#>  [5759,]    1    2    3    4    3    5    6    5    7
#>  [5760,]    1    2    3    4    5    6    7    8    9
#>  [5761,]    1    2    2    3    1    4    5    6    5
#>  [5762,]    1    1    2    3    4    5    5    5    5
#>  [5763,]    1    2    1    2    3    4    5    6    6
#>  [5764,]    1    1    2    3    1    4    4    4    4
#>  [5765,]    1    2    3    4    5    6    7    7    7
#>  [5766,]    1    2    3    4    3    5    6    7    8
#>  [5767,]    1    2    3    4    5    6    7    8    9
#>  [5768,]    1    1    2    3    4    5    6    7    7
#>  [5769,]    1    2    3    4    4    5    5    5    6
#>  [5770,]    1    2    3    2    4    5    5    6    5
#>  [5771,]    1    2    1    3    4    5    6    6    6
#>  [5772,]    1    2    3    3    3    4    5    4    6
#>  [5773,]    1    2    3    2    4    5    6    7    7
#>  [5774,]    1    2    1    3    1    4    5    5    6
#>  [5775,]    1    2    3    2    2    4    5    4    4
#>  [5776,]    1    2    3    1    1    4    5    6    7
#>  [5777,]    1    2    3    4    4    5    6    7    8
#>  [5778,]    1    2    3    4    5    6    7    8    8
#>  [5779,]    1    2    1    3    4    5    5    6    5
#>  [5780,]    1    1    2    2    2    3    4    5    5
#>  [5781,]    1    2    1    1    3    4    5    6    5
#>  [5782,]    1    1    2    1    3    4    5    6    7
#>  [5783,]    1    2    2    3    2    4    5    4    6
#>  [5784,]    1    1    2    3    3    4    4    5    6
#>  [5785,]    1    2    3    3    3    4    5    6    7
#>  [5786,]    1    2    3    4    5    6    7    7    6
#>  [5787,]    1    2    3    2    4    5    5    5    5
#>  [5788,]    1    1    2    3    4    3    5    5    5
#>  [5789,]    1    2    2    3    4    5    6    6    6
#>  [5790,]    1    2    3    4    4    5    6    6    7
#>  [5791,]    1    2    3    3    4    5    6    7    8
#>  [5792,]    1    1    1    2    3    4    5    5    5
#>  [5793,]    1    1    2    3    4    5    5    5    5
#>  [5794,]    1    1    2    3    4    5    5    6    5
#>  [5795,]    1    2    3    4    4    5    5    5    6
#>  [5796,]    1    2    1    3    4    5    6    7    6
#>  [5797,]    1    1    1    2    3    4    5    6    7
#>  [5798,]    1    2    2    3    2    4    5    6    7
#>  [5799,]    1    1    2    2    3    4    5    6    6
#>  [5800,]    1    2    3    4    1    5    6    7    8
#>  [5801,]    1    2    3    3    1    4    5    6    5
#>  [5802,]    1    2    1    3    3    4    5    6    6
#>  [5803,]    1    2    2    3    4    5    6    7    5
#>  [5804,]    1    1    2    1    3    4    5    6    4
#>  [5805,]    1    2    3    2    3    4    4    5    4
#>  [5806,]    1    1    2    1    2    3    4    4    5
#>  [5807,]    1    2    1    1    3    4    4    4    5
#>  [5808,]    1    1    2    1    1    3    4    4    3
#>  [5809,]    1    2    1    1    3    4    5    5    5
#>  [5810,]    1    1    2    1    3    4    5    5    6
#>  [5811,]    1    2    3    2    4    5    6    7    6
#>  [5812,]    1    2    3    4    5    6    7    8    8
#>  [5813,]    1    2    2    3    4    5    6    6    6
#>  [5814,]    1    1    1    1    1    2    3    3    3
#>  [5815,]    1    1    1    1    1    2    2    3    3
#>  [5816,]    1    1    1    1    1    2    2    3    3
#>  [5817,]    1    2    1    1    3    4    5    5    5
#>  [5818,]    1    1    2    3    3    4    5    6    6
#>  [5819,]    1    2    3    3    4    5    5    5    6
#>  [5820,]    1    2    1    3    4    5    6    6    7
#>  [5821,]    1    2    3    3    3    4    5    6    6
#>  [5822,]    1    2    1    1    3    4    5    6    7
#>  [5823,]    1    1    1    2    3    4    5    6    6
#>  [5824,]    1    2    3    4    4    5    6    5    6
#>  [5825,]    1    2    3    4    5    6    6    6    7
#>  [5826,]    1    2    3    1    1    4    5    4    6
#>  [5827,]    1    2    3    2    2    4    5    4    5
#>  [5828,]    1    2    3    4    5    6    7    8    8
#>  [5829,]    1    1    2    3    3    4    4    4    4
#>  [5830,]    1    2    2    2    1    3    4    4    4
#>  [5831,]    1    2    3    3    3    4    5    4    6
#>  [5832,]    1    2    1    1    3    4    5    5    5
#>  [5833,]    1    1    1    1    1    2    2    2    2
#>  [5834,]    1    1    1    1    1    2    2    2    2
#>  [5835,]    1    1    1    1    1    2    3    3    3
#>  [5836,]    1    1    1    1    1    2    2    2    2
#>  [5837,]    1    1    1    1    1    2    3    2    2
#>  [5838,]    1    2    1    2    1    3    3    4    4
#>  [5839,]    1    1    1    1    1    2    2    3    2
#>  [5840,]    1    1    1    1    1    2    2    2    2
#>  [5841,]    1    1    1    1    1    2    2    2    3
#>  [5842,]    1    1    1    2    1    3    4    3    4
#>  [5843,]    1    2    2    3    2    4    5    4    5
#>  [5844,]    1    1    1    1    1    2    3    3    3
#>  [5845,]    1    2    1    3    1    4    5    6    6
#>  [5846,]    1    1    1    1    1    2    3    3    4
#>  [5847,]    1    1    1    1    1    2    3    2    4
#>  [5848,]    1    2    2    1    1    3    4    4    5
#>  [5849,]    1    2    3    3    3    4    5    6    6
#>  [5850,]    1    2    1    1    1    3    4    3    3
#>  [5851,]    1    2    2    2    3    4    5    6    4
#>  [5852,]    1    2    3    1    4    5    6    5    7
#>  [5853,]    1    2    3    3    1    4    5    6    5
#>  [5854,]    1    2    3    4    3    5    5    6    5
#>  [5855,]    1    2    2    1    2    3    3    4    3
#>  [5856,]    1    1    1    2    1    3    4    3    5
#>  [5857,]    1    1    1    1    1    2    3    4    5
#>  [5858,]    1    1    1    2    3    4    5    5    6
#>  [5859,]    1    1    1    1    2    3    3    4    5
#>  [5860,]    1    1    1    2    2    3    4    4    5
#>  [5861,]    1    1    2    1    1    3    4    4    3
#>  [5862,]    1    2    3    4    5    6    7    6    8
#>  [5863,]    1    2    3    4    5    6    7    8    8
#>  [5864,]    1    2    3    1    4    5    5    5    6
#>  [5865,]    1    2    1    3    4    5    6    7    5
#>  [5866,]    1    1    2    3    4    5    5    5    6
#>  [5867,]    1    1    2    3    1    4    5    6    7
#>  [5868,]    1    1    2    1    3    4    5    4    5
#>  [5869,]    1    2    3    4    1    5    5    6    7
#>  [5870,]    1    2    2    2    3    4    5    4    5
#>  [5871,]    1    1    2    3    3    4    5    6    5
#>  [5872,]    1    2    2    2    2    3    4    4    4
#>  [5873,]    1    1    1    2    3    4    4    4    4
#>  [5874,]    1    2    3    2    3    4    4    4    4
#>  [5875,]    1    1    2    2    2    3    3    3    3
#>  [5876,]    1    2    2    2    2    3    3    3    3
#>  [5877,]    1    1    2    3    1    4    5    6    5
#>  [5878,]    1    1    2    3    4    5    5    6    5
#>  [5879,]    1    2    3    3    3    4    5    6    6
#>  [5880,]    1    1    2    1    1    3    3    4    5
#>  [5881,]    1    2    1    1    1    3    3    3    4
#>  [5882,]    1    2    2    2    3    4    4    4    4
#>  [5883,]    1    1    2    2    1    3    3    3    3
#>  [5884,]    1    2    1    1    1    3    3    3    3
#>  [5885,]    1    1    2    3    4    5    5    5    5
#>  [5886,]    1    1    1    1    1    2    3    2    2
#>  [5887,]    1    1    1    1    2    3    3    3    3
#>  [5888,]    1    1    1    1    1    2    3    3    3
#>  [5889,]    1    1    1    1    1    2    2    2    2
#>  [5890,]    1    1    1    1    1    2    2    2    2
#>  [5891,]    1    2    3    4    4    5    5    5    5
#>  [5892,]    1    1    1    1    1    2    2    2    3
#>  [5893,]    1    1    1    1    1    2    2    3    3
#>  [5894,]    1    1    2    3    4    5    5    5    5
#>  [5895,]    1    1    2    3    4    5    6    6    6
#>  [5896,]    1    1    2    3    4    5    5    5    5
#>  [5897,]    1    2    2    3    2    4    4    4    4
#>  [5898,]    1    1    2    3    2    4    5    6    5
#>  [5899,]    1    1    2    1    3    4    5    5    5
#>  [5900,]    1    1    1    1    1    2    3    3    3
#>  [5901,]    1    1    1    1    2    3    4    4    4
#>  [5902,]    1    2    3    4    4    5    6    6    7
#>  [5903,]    1    2    3    4    3    5    6    7    6
#>  [5904,]    1    2    3    4    5    6    7    6    8
#>  [5905,]    1    1    2    3    3    4    5    6    7
#>  [5906,]    1    1    2    3    4    5    6    7    8
#>  [5907,]    1    2    1    3    4    5    6    7    5
#>  [5908,]    1    2    2    3    4    5    6    7    8
#>  [5909,]    1    2    2    3    2    4    5    6    7
#>  [5910,]    1    2    3    4    1    5    5    5    5
#>  [5911,]    1    2    3    4    1    5    6    7    7
#>  [5912,]    1    2    1    1    1    3    4    4    5
#>  [5913,]    1    1    2    1    3    4    5    6    7
#>  [5914,]    1    1    2    3    2    4    5    6    7
#>  [5915,]    1    2    1    3    4    5    6    7    6
#>  [5916,]    1    2    3    4    4    5    6    7    8
#>  [5917,]    1    2    3    3    4    5    6    7    5
#>  [5918,]    1    1    1    1    1    2    2    2    2
#>  [5919,]    1    1    1    1    1    2    2    2    2
#>  [5920,]    1    1    1    1    1    2    3    4    2
#>  [5921,]    1    1    1    1    1    2    3    3    4
#>  [5922,]    1    2    1    2    1    3    4    4    4
#>  [5923,]    1    1    1    1    2    3    4    4    4
#>  [5924,]    1    2    3    1    1    4    4    4    4
#>  [5925,]    1    2    1    2    1    3    3    3    3
#>  [5926,]    1    1    1    1    2    3    3    3    3
#>  [5927,]    1    2    3    4    4    5    6    6    7
#>  [5928,]    1    2    3    2    4    5    6    6    7
#>  [5929,]    1    2    3    1    1    4    5    5    5
#>  [5930,]    1    1    2    1    2    3    4    5    6
#>  [5931,]    1    2    3    4    5    6    7    8    9
#>  [5932,]    1    2    3    3    4    5    6    7    6
#>  [5933,]    1    2    2    3    4    5    6    7    6
#>  [5934,]    1    2    2    3    2    4    5    6    5
#>  [5935,]    1    1    2    3    4    5    5    6    5
#>  [5936,]    1    2    3    2    3    4    5    6    4
#>  [5937,]    1    1    1    2    3    4    5    6    7
#>  [5938,]    1    2    2    3    1    4    5    6    5
#>  [5939,]    1    1    2    3    1    4    5    6    7
#>  [5940,]    1    1    1    2    2    3    4    5    6
#>  [5941,]    1    2    3    3    3    4    5    6    7
#>  [5942,]    1    2    3    4    5    6    7    8    7
#>  [5943,]    1    2    3    4    4    5    6    6    7
#>  [5944,]    1    2    3    3    3    4    5    6    6
#>  [5945,]    1    2    3    4    5    6    7    8    9
#>  [5946,]    1    2    3    4    5    6    7    8    9
#>  [5947,]    1    2    3    4    4    5    6    6    7
#>  [5948,]    1    2    1    3    1    4    5    6    7
#>  [5949,]    1    2    3    2    2    4    5    5    6
#>  [5950,]    1    1    2    2    2    3    3    3    4
#>  [5951,]    1    2    1    1    1    3    4    5    6
#>  [5952,]    1    1    2    2    2    3    4    3    4
#>  [5953,]    1    2    3    3    3    4    4    5    5
#>  [5954,]    1    2    1    3    4    5    6    5    5
#>  [5955,]    1    2    3    4    5    6    6    6    6
#>  [5956,]    1    1    1    1    2    3    4    4    5
#>  [5957,]    1    1    1    1    1    2    3    4    5
#>  [5958,]    1    1    1    2    3    4    5    6    5
#>  [5959,]    1    2    3    2    4    5    5    6    6
#>  [5960,]    1    2    3    4    2    5    6    5    7
#>  [5961,]    1    2    3    2    3    4    5    4    6
#>  [5962,]    1    1    1    2    3    4    5    6    6
#>  [5963,]    1    1    1    2    3    4    5    6    5
#>  [5964,]    1    2    3    4    5    6    7    8    8
#>  [5965,]    1    2    3    2    4    5    6    6    6
#>  [5966,]    1    2    3    3    4    5    6    7    7
#>  [5967,]    1    2    3    4    2    5    6    7    8
#>  [5968,]    1    2    3    4    5    6    7    8    9
#>  [5969,]    1    1    1    1    2    3    4    5    4
#>  [5970,]    1    2    2    2    2    3    3    4    5
#>  [5971,]    1    2    1    3    4    5    6    6    5
#>  [5972,]    1    2    3    2    1    4    5    6    7
#>  [5973,]    1    1    2    2    3    4    5    6    7
#>  [5974,]    1    2    3    4    5    6    6    7    8
#>  [5975,]    1    2    3    4    2    5    6    7    7
#>  [5976,]    1    1    1    2    3    4    5    5    5
#>  [5977,]    1    2    2    2    3    4    4    4    4
#>  [5978,]    1    2    3    4    4    5    6    6    6
#>  [5979,]    1    1    2    2    3    4    5    6    6
#>  [5980,]    1    2    3    3    4    5    6    7    6
#>  [5981,]    1    2    3    4    5    6    7    8    7
#>  [5982,]    1    2    3    4    3    5    5    6    7
#>  [5983,]    1    2    3    2    4    5    6    5    6
#>  [5984,]    1    2    3    4    5    6    7    8    8
#>  [5985,]    1    2    3    4    2    5    6    5    7
#>  [5986,]    1    2    3    4    5    6    7    8    9
#>  [5987,]    1    2    3    4    4    5    6    7    8
#>  [5988,]    1    2    3    3    4    5    6    7    8
#>  [5989,]    1    2    2    3    2    4    5    5    5
#>  [5990,]    1    2    3    1    1    4    5    5    6
#>  [5991,]    1    2    3    4    5    6    7    8    7
#>  [5992,]    1    2    3    3    4    5    6    7    7
#>  [5993,]    1    2    1    1    3    4    4    4    4
#>  [5994,]    1    2    3    4    5    5    6    6    6
#>  [5995,]    1    2    3    4    4    5    5    5    5
#>  [5996,]    1    2    1    2    2    3    3    3    3
#>  [5997,]    1    2    3    3    4    5    5    5    5
#>  [5998,]    1    1    1    2    2    3    4    4    4
#>  [5999,]    1    2    2    3    4    5    6    7    7
#>  [6000,]    1    2    3    4    5    6    7    7    7
#>  [6001,]    1    1    2    2    1    3    4    5    4
#>  [6002,]    1    2    2    2    2    3    3    4    5
#>  [6003,]    1    2    2    2    2    3    4    5    6
#>  [6004,]    1    1    1    1    1    2    3    2    3
#>  [6005,]    1    1    1    1    1    2    3    3    3
#>  [6006,]    1    2    3    2    1    4    5    4    4
#>  [6007,]    1    2    3    3    3    4    5    4    6
#>  [6008,]    1    2    3    4    5    6    7    8    9
#>  [6009,]    1    2    3    2    1    4    5    6    7
#>  [6010,]    1    2    3    1    4    5    6    7    8
#>  [6011,]    1    1    2    3    1    4    5    6    7
#>  [6012,]    1    2    3    4    4    5    6    7    8
#>  [6013,]    1    2    3    4    5    6    7    6    8
#>  [6014,]    1    2    2    3    4    5    5    6    7
#>  [6015,]    1    1    2    1    3    4    4    4    5
#>  [6016,]    1    1    2    3    3    4    4    5    5
#>  [6017,]    1    2    3    3    2    4    5    6    6
#>  [6018,]    1    1    2    3    1    4    5    6    4
#>  [6019,]    1    2    3    4    5    6    7    8    9
#>  [6020,]    1    2    3    4    4    5    6    7    6
#>  [6021,]    1    2    3    3    4    5    6    7    8
#>  [6022,]    1    2    3    2    4    5    6    7    8
#>  [6023,]    1    2    3    4    5    6    7    8    7
#>  [6024,]    1    1    2    3    2    4    5    6    4
#>  [6025,]    1    1    1    1    2    3    4    5    6
#>  [6026,]    1    2    3    4    5    6    7    7    7
#>  [6027,]    1    2    3    4    5    6    7    6    6
#>  [6028,]    1    1    1    1    1    2    3    2    4
#>  [6029,]    1    1    2    3    1    4    5    6    7
#>  [6030,]    1    2    3    2    2    4    5    6    4
#>  [6031,]    1    2    3    1    4    5    6    5    5
#>  [6032,]    1    2    3    4    4    5    6    7    6
#>  [6033,]    1    2    3    3    3    4    5    6    7
#>  [6034,]    1    2    2    3    4    5    6    7    7
#>  [6035,]    1    1    2    1    1    3    4    4    4
#>  [6036,]    1    2    3    1    4    5    6    6    6
#>  [6037,]    1    2    3    4    5    6    7    6    8
#>  [6038,]    1    2    3    4    2    5    6    5    7
#>  [6039,]    1    2    3    4    3    5    6    6    7
#>  [6040,]    1    2    2    2    2    3    4    4    4
#>  [6041,]    1    2    3    4    1    5    6    6    6
#>  [6042,]    1    2    2    1    1    3    4    4    5
#>  [6043,]    1    1    1    1    1    2    3    3    3
#>  [6044,]    1    1    1    2    1    3    3    3    3
#>  [6045,]    1    1    1    2    3    4    4    4    4
#>  [6046,]    1    1    2    1    1    3    3    3    4
#>  [6047,]    1    1    1    2    2    3    4    5    4
#>  [6048,]    1    2    1    1    3    4    5    6    6
#>  [6049,]    1    2    3    3    3    4    5    6    7
#>  [6050,]    1    2    3    4    2    5    5    6    7
#>  [6051,]    1    2    1    1    1    3    4    4    4
#>  [6052,]    1    2    2    2    2    3    3    3    3
#>  [6053,]    1    1    1    1    1    2    2    2    2
#>  [6054,]    1    1    1    1    1    2    2    2    2
#>  [6055,]    1    1    1    1    1    2    3    3    3
#>  [6056,]    1    1    1    2    1    3    4    3    5
#>  [6057,]    1    2    1    2    2    3    3    3    3
#>  [6058,]    1    2    1    1    1    3    3    3    3
#>  [6059,]    1    2    3    1    1    4    4    4    4
#>  [6060,]    1    1    1    1    2    3    3    3    3
#>  [6061,]    1    2    3    2    4    5    5    5    5
#>  [6062,]    1    2    3    3    1    4    5    5    6
#>  [6063,]    1    2    3    2    2    4    4    5    5
#>  [6064,]    1    2    2    3    3    4    4    5    5
#>  [6065,]    1    1    1    2    1    3    4    4    4
#>  [6066,]    1    1    2    1    1    3    4    4    4
#>  [6067,]    1    2    1    1    1    3    4    4    4
#>  [6068,]    1    2    3    4    5    6    6    6    6
#>  [6069,]    1    1    2    3    4    5    5    5    5
#>  [6070,]    1    2    3    4    5    6    7    6    6
#>  [6071,]    1    2    3    4    5    6    7    8    8
#>  [6072,]    1    2    3    4    5    6    7    7    8
#>  [6073,]    1    2    3    3    4    5    6    7    6
#>  [6074,]    1    2    2    3    2    4    4    4    4
#>  [6075,]    1    2    1    2    2    3    4    4    3
#>  [6076,]    1    1    1    2    3    4    4    5    6
#>  [6077,]    1    2    3    1    2    4    4    5    6
#>  [6078,]    1    2    2    2    2    3    4    5    5
#>  [6079,]    1    1    1    1    1    2    3    3    3
#>  [6080,]    1    1    1    1    1    2    2    3    2
#>  [6081,]    1    1    1    1    1    2    3    4    2
#>  [6082,]    1    1    2    3    4    5    6    7    7
#>  [6083,]    1    2    3    4    5    6    7    7    7
#>  [6084,]    1    2    3    4    5    6    7    8    9
#>  [6085,]    1    2    3    4    3    5    6    7    8
#>  [6086,]    1    2    3    3    4    5    6    7    8
#>  [6087,]    1    2    3    4    5    6    7    8    8
#>  [6088,]    1    2    3    4    2    5    6    6    5
#>  [6089,]    1    1    1    2    3    4    5    4    6
#>  [6090,]    1    1    2    3    4    5    6    7    8
#>  [6091,]    1    2    1    1    3    4    5    5    6
#>  [6092,]    1    2    3    4    1    5    6    6    6
#>  [6093,]    1    2    3    4    5    6    7    8    7
#>  [6094,]    1    2    3    4    5    6    7    6    8
#>  [6095,]    1    2    1    3    1    4    5    6    6
#>  [6096,]    1    2    2    1    1    3    3    4    5
#>  [6097,]    1    2    2    3    2    4    5    6    6
#>  [6098,]    1    2    1    3    2    4    4    5    6
#>  [6099,]    1    2    3    3    4    5    6    7    7
#>  [6100,]    1    2    1    3    3    4    5    6    6
#>  [6101,]    1    1    2    1    3    4    5    5    5
#>  [6102,]    1    2    2    1    3    4    4    4    4
#>  [6103,]    1    1    2    3    4    5    6    6    6
#>  [6104,]    1    2    3    4    5    6    7    7    7
#>  [6105,]    1    2    2    3    4    5    6    5    6
#>  [6106,]    1    2    3    4    2    5    5    6    7
#>  [6107,]    1    2    3    4    5    6    7    8    9
#>  [6108,]    1    2    3    4    5    6    7    8    9
#>  [6109,]    1    2    3    2    4    5    6    5    7
#>  [6110,]    1    2    3    2    2    4    5    6    7
#>  [6111,]    1    2    3    4    5    6    6    7    8
#>  [6112,]    1    2    3    3    4    5    6    5    7
#>  [6113,]    1    2    3    4    5    6    7    8    9
#>  [6114,]    1    2    3    4    3    5    5    6    7
#>  [6115,]    1    1    1    1    1    2    3    4    5
#>  [6116,]    1    1    1    1    1    2    3    4    4
#>  [6117,]    1    2    3    3    3    4    5    5    5
#>  [6118,]    1    2    2    2    3    4    5    4    6
#>  [6119,]    1    2    3    4    5    6    7    8    9
#>  [6120,]    1    1    2    3    4    5    5    6    7
#>  [6121,]    1    2    3    1    4    5    6    6    7
#>  [6122,]    1    2    3    3    4    5    6    7    5
#>  [6123,]    1    2    3    4    5    6    7    8    9
#>  [6124,]    1    2    3    1    4    5    6    7    8
#>  [6125,]    1    2    3    4    5    6    7    8    8
#>  [6126,]    1    2    3    4    3    5    6    7    8
#>  [6127,]    1    2    3    2    2    4    4    5    6
#>  [6128,]    1    2    3    2    4    5    6    7    6
#>  [6129,]    1    2    3    4    5    6    7    8    7
#>  [6130,]    1    2    3    4    4    5    6    7    6
#>  [6131,]    1    2    1    2    3    4    5    5    5
#>  [6132,]    1    2    2    1    2    3    4    4    5
#>  [6133,]    1    2    2    2    2    3    4    5    6
#>  [6134,]    1    1    1    1    1    2    3    4    4
#>  [6135,]    1    1    1    1    1    2    3    2    4
#>  [6136,]    1    1    2    3    3    4    5    5    5
#>  [6137,]    1    2    1    1    3    4    5    5    5
#>  [6138,]    1    2    3    4    5    6    7    7    7
#>  [6139,]    1    2    3    1    1    4    5    5    5
#>  [6140,]    1    1    2    1    1    3    3    4    5
#>  [6141,]    1    1    1    1    1    2    3    3    3
#>  [6142,]    1    1    1    2    3    4    4    4    5
#>  [6143,]    1    1    1    1    1    2    3    2    2
#>  [6144,]    1    1    1    1    1    2    2    2    2
#>  [6145,]    1    1    1    2    1    3    3    3    3
#>  [6146,]    1    1    1    1    2    3    3    4    3
#>  [6147,]    1    2    1    2    1    3    4    4    5
#>  [6148,]    1    1    2    2    2    3    3    3    3
#>  [6149,]    1    1    1    2    1    3    3    3    3
#>  [6150,]    1    1    1    1    1    2    2    2    3
#>  [6151,]    1    1    1    1    2    3    3    3    4
#>  [6152,]    1    1    1    2    1    3    4    5    3
#>  [6153,]    1    2    1    3    3    4    5    5    5
#>  [6154,]    1    2    1    1    3    4    4    4    4
#>  [6155,]    1    1    2    3    3    4    5    5    6
#>  [6156,]    1    1    2    1    3    4    4    4    4
#>  [6157,]    1    2    2    1    3    4    4    4    4
#>  [6158,]    1    1    2    2    2    3    4    4    5
#>  [6159,]    1    1    1    1    1    2    3    3    3
#>  [6160,]    1    1    1    1    1    2    2    2    3
#>  [6161,]    1    1    2    2    3    4    5    6    6
#>  [6162,]    1    2    3    1    4    5    6    7    8
#>  [6163,]    1    2    2    3    1    4    5    6    6
#>  [6164,]    1    1    2    3    4    5    6    7    7
#>  [6165,]    1    2    3    4    1    5    5    6    7
#>  [6166,]    1    2    2    3    4    5    6    7    5
#>  [6167,]    1    2    3    1    3    4    5    5    6
#>  [6168,]    1    2    1    3    4    5    6    7    8
#>  [6169,]    1    2    1    3    2    4    5    6    7
#>  [6170,]    1    2    3    4    5    6    7    6    8
#>  [6171,]    1    2    3    4    2    5    5    5    5
#>  [6172,]    1    2    3    4    3    5    6    7    6
#>  [6173,]    1    1    1    2    1    3    4    5    6
#>  [6174,]    1    1    1    2    1    3    4    5    5
#>  [6175,]    1    1    1    2    2    3    4    4    4
#>  [6176,]    1    1    1    1    1    2    2    2    2
#>  [6177,]    1    1    1    1    1    2    2    2    2
#>  [6178,]    1    1    2    3    2    4    5    5    6
#>  [6179,]    1    1    2    3    3    4    5    6    7
#>  [6180,]    1    2    3    2    3    4    5    6    6
#>  [6181,]    1    1    1    1    2    3    4    5    4
#>  [6182,]    1    1    1    2    3    4    5    5    6
#>  [6183,]    1    2    3    2    4    5    6    6    7
#>  [6184,]    1    1    1    1    1    2    3    4    5
#>  [6185,]    1    1    1    1    1    2    3    4    4
#>  [6186,]    1    1    1    1    1    2    3    4    2
#>  [6187,]    1    1    1    1    1    2    3    3    4
#>  [6188,]    1    1    1    1    1    2    3    3    4
#>  [6189,]    1    1    1    1    1    2    3    3    3
#>  [6190,]    1    1    1    1    1    2    2    2    2
#>  [6191,]    1    2    3    2    4    5    6    6    6
#>  [6192,]    1    2    1    1    1    3    4    4    4
#>  [6193,]    1    2    2    2    2    3    4    4    5
#>  [6194,]    1    2    3    4    4    5    6    7    8
#>  [6195,]    1    2    2    2    2    3    3    4    5
#>  [6196,]    1    1    1    1    1    2    3    4    4
#>  [6197,]    1    1    1    2    3    4    4    4    5
#>  [6198,]    1    2    2    3    2    4    4    4    5
#>  [6199,]    1    1    2    1    1    3    4    4    4
#>  [6200,]    1    2    2    2    2    3    4    5    4
#>  [6201,]    1    1    1    1    1    2    3    4    4
#>  [6202,]    1    1    1    1    1    2    3    4    5
#>  [6203,]    1    1    1    1    1    2    3    4    5
#>  [6204,]    1    1    1    1    1    2    2    2    2
#>  [6205,]    1    2    1    1    1    3    3    3    3
#>  [6206,]    1    2    3    3    3    4    4    4    4
#>  [6207,]    1    2    2    1    2    3    3    3    4
#>  [6208,]    1    1    1    1    1    2    2    3    2
#>  [6209,]    1    1    1    1    1    2    2    3    4
#>  [6210,]    1    1    1    1    1    2    2    3    2
#>  [6211,]    1    1    1    1    1    2    3    4    4
#>  [6212,]    1    1    1    2    3    4    5    6    6
#>  [6213,]    1    2    3    4    3    5    6    6    6
#>  [6214,]    1    2    3    2    4    5    6    7    8
#>  [6215,]    1    2    3    4    5    6    7    8    7
#>  [6216,]    1    2    3    4    5    6    7    8    8
#>  [6217,]    1    2    3    4    5    6    7    8    7
#>  [6218,]    1    2    3    4    5    6    7    8    9
#>  [6219,]    1    2    3    4    5    6    7    8    8
#>  [6220,]    1    2    3    4    5    6    7    8    7
#>  [6221,]    1    2    3    4    5    6    7    6    6
#>  [6222,]    1    2    3    4    2    5    6    7    8
#>  [6223,]    1    2    1    3    4    5    6    7    5
#>  [6224,]    1    2    3    4    3    5    6    7    8
#>  [6225,]    1    2    1    1    1    3    4    4    5
#>  [6226,]    1    2    3    4    3    5    6    7    5
#>  [6227,]    1    2    2    3    1    4    5    4    4
#>  [6228,]    1    2    3    4    5    6    6    7    8
#>  [6229,]    1    2    3    2    4    5    6    6    6
#>  [6230,]    1    2    1    3    3    4    5    6    5
#>  [6231,]    1    2    3    1    4    5    6    7    8
#>  [6232,]    1    2    3    4    3    5    6    7    7
#>  [6233,]    1    2    3    3    4    5    6    6    6
#>  [6234,]    1    1    2    3    4    5    6    7    7
#>  [6235,]    1    2    1    3    3    4    5    5    5
#>  [6236,]    1    2    3    4    3    5    5    5    6
#>  [6237,]    1    2    3    3    4    5    5    5    5
#>  [6238,]    1    2    3    3    2    4    4    4    4
#>  [6239,]    1    2    3    4    4    5    6    7    7
#>  [6240,]    1    1    2    1    1    3    3    3    4
#>  [6241,]    1    1    2    2    1    3    3    3    4
#>  [6242,]    1    1    2    1    1    3    4    3    5
#>  [6243,]    1    2    2    2    1    3    4    4    5
#>  [6244,]    1    2    3    4    4    5    6    6    6
#>  [6245,]    1    2    2    1    3    4    4    5    5
#>  [6246,]    1    1    2    3    4    5    6    6    7
#>  [6247,]    1    2    3    1    4    5    6    5    5
#>  [6248,]    1    1    2    2    2    3    3    3    3
#>  [6249,]    1    2    3    2    2    4    4    4    4
#>  [6250,]    1    1    2    1    1    3    3    3    3
#>  [6251,]    1    1    1    1    2    3    3    3    3
#>  [6252,]    1    1    2    2    1    3    3    3    3
#>  [6253,]    1    2    1    1    2    3    3    3    3
#>  [6254,]    1    2    3    2    2    4    5    5    5
#>  [6255,]    1    1    2    1    3    4    5    5    6
#>  [6256,]    1    1    2    3    2    4    5    6    7
#>  [6257,]    1    2    3    2    4    5    6    7    8
#>  [6258,]    1    2    3    1    4    5    6    7    6
#>  [6259,]    1    2    3    4    5    6    7    8    9
#>  [6260,]    1    2    3    4    5    6    6    7    8
#>  [6261,]    1    1    2    3    2    4    5    6    7
#>  [6262,]    1    1    2    3    4    5    6    7    8
#>  [6263,]    1    2    3    3    3    4    5    4    6
#>  [6264,]    1    1    1    2    3    4    5    6    6
#>  [6265,]    1    2    3    4    2    5    6    7    7
#>  [6266,]    1    2    3    4    1    5    6    6    7
#>  [6267,]    1    1    2    3    3    4    5    6    5
#>  [6268,]    1    2    3    3    4    5    6    7    8
#>  [6269,]    1    2    3    2    2    4    4    5    6
#>  [6270,]    1    2    3    4    5    6    7    8    7
#>  [6271,]    1    2    2    2    2    3    3    4    3
#>  [6272,]    1    2    1    2    1    3    3    4    5
#>  [6273,]    1    1    2    3    1    4    5    4    4
#>  [6274,]    1    2    3    4    3    5    6    6    6
#>  [6275,]    1    2    2    2    2    3    3    4    3
#>  [6276,]    1    2    1    3    3    4    4    4    5
#>  [6277,]    1    2    3    4    2    5    6    7    6
#>  [6278,]    1    1    2    1    3    4    5    6    7
#>  [6279,]    1    1    2    3    3    4    4    5    6
#>  [6280,]    1    1    2    2    2    3    4    5    6
#>  [6281,]    1    2    1    1    1    3    3    4    3
#>  [6282,]    1    2    1    1    1    3    4    4    4
#>  [6283,]    1    2    1    1    1    3    3    3    3
#>  [6284,]    1    1    1    2    1    3    4    3    5
#>  [6285,]    1    2    3    1    4    5    6    6    6
#>  [6286,]    1    2    3    2    2    4    4    4    5
#>  [6287,]    1    1    2    1    1    3    4    5    6
#>  [6288,]    1    2    1    3    4    5    6    7    8
#>  [6289,]    1    2    3    3    4    5    6    7    5
#>  [6290,]    1    2    3    4    5    6    7    7    8
#>  [6291,]    1    2    3    4    5    6    7    6    6
#>  [6292,]    1    2    3    4    5    6    7    6    7
#>  [6293,]    1    1    2    3    4    5    5    5    6
#>  [6294,]    1    2    3    4    5    6    7    8    9
#>  [6295,]    1    2    3    2    4    5    6    7    8
#>  [6296,]    1    2    3    4    5    6    7    7    8
#>  [6297,]    1    2    3    4    2    5    6    7    8
#>  [6298,]    1    2    3    4    5    6    7    7    7
#>  [6299,]    1    2    3    1    4    5    5    5    6
#>  [6300,]    1    2    2    3    4    5    6    7    7
#>  [6301,]    1    1    2    3    4    5    6    5    5
#>  [6302,]    1    2    3    4    5    6    7    6    8
#>  [6303,]    1    2    3    4    2    5    6    7    8
#>  [6304,]    1    2    3    4    3    5    6    7    6
#>  [6305,]    1    1    1    1    2    3    4    4    5
#>  [6306,]    1    2    2    3    4    5    6    6    7
#>  [6307,]    1    1    2    3    1    4    5    6    6
#>  [6308,]    1    2    3    4    5    6    6    6    7
#>  [6309,]    1    1    2    1    1    3    3    3    3
#>  [6310,]    1    2    1    1    1    3    4    3    3
#>  [6311,]    1    2    3    4    5    6    7    7    7
#>  [6312,]    1    2    3    1    3    4    5    6    7
#>  [6313,]    1    2    3    4    5    6    7    7    7
#>  [6314,]    1    2    3    4    4    5    6    7    7
#>  [6315,]    1    2    3    3    4    5    6    6    6
#>  [6316,]    1    2    2    2    1    3    4    5    6
#>  [6317,]    1    2    3    3    4    5    6    6    7
#>  [6318,]    1    2    1    3    4    5    6    7    8
#>  [6319,]    1    2    1    3    3    4    5    5    6
#>  [6320,]    1    2    3    3    4    5    6    7    6
#>  [6321,]    1    2    3    4    4    5    6    7    8
#>  [6322,]    1    2    3    4    4    5    6    7    8
#>  [6323,]    1    2    3    4    5    6    7    7    7
#>  [6324,]    1    2    1    1    1    3    4    5    6
#>  [6325,]    1    2    1    2    1    3    4    3    5
#>  [6326,]    1    2    1    3    4    3    5    6    7
#>  [6327,]    1    2    3    4    3    5    6    7    8
#>  [6328,]    1    2    3    3    4    5    5    6    7
#>  [6329,]    1    2    3    3    4    5    6    7    8
#>  [6330,]    1    2    3    4    4    5    6    7    8
#>  [6331,]    1    2    1    1    1    3    4    5    4
#>  [6332,]    1    1    2    3    4    5    6    7    8
#>  [6333,]    1    2    1    1    3    4    5    6    6
#>  [6334,]    1    2    3    1    1    4    5    4    4
#>  [6335,]    1    2    2    3    4    5    6    6    7
#>  [6336,]    1    2    2    2    3    4    5    6    5
#>  [6337,]    1    2    3    3    4    5    6    7    7
#>  [6338,]    1    2    2    3    2    4    5    6    5
#>  [6339,]    1    2    3    1    4    5    5    6    5
#>  [6340,]    1    2    1    3    1    4    4    4    4
#>  [6341,]    1    2    3    2    1    4    4    4    5
#>  [6342,]    1    1    1    1    2    3    3    4    3
#>  [6343,]    1    1    1    2    1    3    4    3    3
#>  [6344,]    1    1    2    3    4    5    6    6    6
#>  [6345,]    1    2    2    2    2    3    3    3    3
#>  [6346,]    1    1    1    1    1    2    2    2    2
#>  [6347,]    1    1    1    1    2    3    3    3    3
#>  [6348,]    1    1    1    1    1    2    2    2    2
#>  [6349,]    1    1    1    1    1    2    3    3    3
#>  [6350,]    1    1    1    1    1    2    2    2    2
#>  [6351,]    1    1    1    1    1    2    2    2    2
#>  [6352,]    1    1    1    1    1    2    2    2    2
#>  [6353,]    1    1    1    1    1    2    2    2    2
#>  [6354,]    1    1    1    2    1    3    3    3    3
#>  [6355,]    1    2    1    3    4    5    5    5    5
#>  [6356,]    1    2    2    3    3    4    4    5    5
#>  [6357,]    1    2    3    3    1    4    5    5    5
#>  [6358,]    1    1    2    2    3    4    5    5    5
#>  [6359,]    1    1    1    1    1    2    3    2    3
#>  [6360,]    1    1    1    1    2    3    4    4    4
#>  [6361,]    1    1    2    2    3    4    5    4    5
#>  [6362,]    1    2    3    4    1    5    6    6    7
#>  [6363,]    1    2    3    4    4    5    6    6    6
#>  [6364,]    1    1    1    1    2    3    4    4    4
#>  [6365,]    1    2    3    4    3    5    6    7    8
#>  [6366,]    1    2    2    2    2    3    4    5    3
#>  [6367,]    1    2    3    3    2    4    5    6    7
#>  [6368,]    1    1    2    2    2    3    4    4    4
#>  [6369,]    1    2    1    2    2    3    3    3    3
#>  [6370,]    1    1    1    2    1    3    3    3    3
#>  [6371,]    1    1    1    1    1    2    3    3    3
#>  [6372,]    1    1    1    2    1    3    3    4    4
#>  [6373,]    1    2    3    3    2    4    5    5    5
#>  [6374,]    1    1    1    1    2    3    3    3    4
#>  [6375,]    1    1    1    1    1    2    2    2    2
#>  [6376,]    1    1    1    1    1    2    2    2    2
#>  [6377,]    1    1    1    1    1    2    3    2    3
#>  [6378,]    1    1    1    1    1    2    2    2    2
#>  [6379,]    1    1    1    1    1    2    2    2    2
#>  [6380,]    1    1    2    1    3    4    5    4    4
#>  [6381,]    1    2    2    3    1    4    5    5    5
#>  [6382,]    1    1    1    2    2    3    3    4    3
#>  [6383,]    1    1    2    2    2    3    3    3    3
#>  [6384,]    1    2    2    2    3    4    4    4    4
#>  [6385,]    1    2    2    3    4    5    5    5    5
#>  [6386,]    1    2    3    4    5    6    6    6    6
#>  [6387,]    1    2    3    4    3    5    5    5    6
#>  [6388,]    1    2    2    2    3    4    5    6    7
#>  [6389,]    1    2    3    4    5    6    7    8    8
#>  [6390,]    1    2    3    4    5    6    7    8    9
#>  [6391,]    1    2    3    4    5    6    7    8    9
#>  [6392,]    1    2    2    1    3    4    5    6    7
#>  [6393,]    1    1    2    3    4    5    6    7    6
#>  [6394,]    1    2    2    3    2    4    5    6    7
#>  [6395,]    1    2    3    1    4    5    6    7    5
#>  [6396,]    1    1    2    3    1    4    5    6    7
#>  [6397,]    1    1    2    3    4    5    6    7    5
#>  [6398,]    1    2    3    4    5    6    7    6    8
#>  [6399,]    1    2    3    4    5    6    7    8    9
#>  [6400,]    1    2    3    4    5    6    7    8    8
#>  [6401,]    1    2    3    4    2    5    6    7    8
#>  [6402,]    1    2    3    4    5    6    7    8    9
#>  [6403,]    1    1    2    1    3    4    5    6    4
#>  [6404,]    1    1    1    2    3    4    5    4    4
#>  [6405,]    1    2    2    2    2    3    3    4    4
#>  [6406,]    1    2    3    4    5    6    6    6    6
#>  [6407,]    1    2    3    4    4    5    5    6    7
#>  [6408,]    1    2    3    3    3    4    5    6    7
#>  [6409,]    1    2    3    4    1    5    6    7    8
#>  [6410,]    1    2    3    1    2    4    5    6    6
#>  [6411,]    1    2    3    4    3    5    6    6    6
#>  [6412,]    1    2    3    4    5    6    6    7    7
#>  [6413,]    1    2    3    4    5    6    7    8    8
#>  [6414,]    1    2    3    3    1    4    5    5    5
#>  [6415,]    1    2    3    4    5    6    7    7    7
#>  [6416,]    1    2    2    3    4    5    5    6    6
#>  [6417,]    1    1    2    3    3    4    5    5    5
#>  [6418,]    1    1    2    1    1    3    4    3    3
#>  [6419,]    1    1    1    1    1    2    3    4    3
#>  [6420,]    1    2    3    3    2    4    4    4    4
#>  [6421,]    1    1    1    1    1    2    2    2    2
#>  [6422,]    1    1    1    1    1    2    2    3    3
#>  [6423,]    1    1    1    1    1    2    3    2    4
#>  [6424,]    1    1    1    1    1    2    3    4    4
#>  [6425,]    1    1    1    2    3    4    5    5    6
#>  [6426,]    1    2    3    4    2    5    6    6    5
#>  [6427,]    1    1    2    3    4    5    6    7    8
#>  [6428,]    1    2    2    3    2    4    5    6    5
#>  [6429,]    1    1    2    2    2    3    3    4    5
#>  [6430,]    1    2    3    2    4    5    6    6    7
#>  [6431,]    1    2    2    3    4    5    6    7    7
#>  [6432,]    1    1    2    2    1    3    4    4    4
#>  [6433,]    1    1    1    1    1    2    2    3    4
#>  [6434,]    1    1    1    2    1    3    4    3    5
#>  [6435,]    1    1    1    1    1    2    3    4    3
#>  [6436,]    1    1    1    1    1    2    3    4    4
#>  [6437,]    1    2    3    4    5    6    7    8    9
#>  [6438,]    1    1    2    3    4    5    6    7    8
#>  [6439,]    1    1    2    1    1    3    4    5    6
#>  [6440,]    1    2    1    2    3    4    5    5    6
#>  [6441,]    1    2    3    4    4    5    6    7    8
#>  [6442,]    1    2    3    4    5    6    7    8    9
#>  [6443,]    1    2    3    4    5    6    7    8    9
#>  [6444,]    1    1    1    2    3    4    5    5    6
#>  [6445,]    1    1    1    2    1    3    4    5    6
#>  [6446,]    1    2    1    1    3    4    5    5    6
#>  [6447,]    1    1    2    3    1    4    5    6    5
#>  [6448,]    1    2    3    1    1    4    4    5    4
#>  [6449,]    1    1    2    3    4    5    5    6    7
#>  [6450,]    1    2    2    3    4    5    6    7    8
#>  [6451,]    1    2    3    3    4    5    6    7    8
#>  [6452,]    1    2    3    4    4    5    6    7    8
#>  [6453,]    1    2    3    3    3    4    4    5    4
#>  [6454,]    1    2    3    3    3    4    5    6    5
#>  [6455,]    1    1    2    3    4    5    6    7    8
#>  [6456,]    1    2    2    3    2    4    5    6    7
#>  [6457,]    1    1    2    2    2    3    4    5    6
#>  [6458,]    1    2    3    4    1    5    6    7    8
#>  [6459,]    1    2    3    3    4    5    6    7    7
#>  [6460,]    1    2    3    2    2    4    5    5    6
#>  [6461,]    1    1    2    1    3    4    4    5    6
#>  [6462,]    1    1    2    2    2    3    4    5    6
#>  [6463,]    1    2    2    2    2    3    4    5    5
#>  [6464,]    1    1    1    1    2    3    4    5    5
#>  [6465,]    1    2    2    1    2    3    4    4    5
#>  [6466,]    1    1    1    1    1    2    3    4    5
#>  [6467,]    1    1    1    2    3    4    5    6    7
#>  [6468,]    1    2    1    2    3    4    5    5    6
#>  [6469,]    1    1    2    3    4    5    5    6    6
#>  [6470,]    1    2    1    3    4    5    6    6    6
#>  [6471,]    1    2    3    3    4    5    6    7    7
#>  [6472,]    1    2    1    1    3    4    5    5    6
#>  [6473,]    1    1    2    1    2    3    4    3    5
#>  [6474,]    1    1    1    1    1    2    3    4    4
#>  [6475,]    1    1    2    3    2    4    4    4    4
#>  [6476,]    1    1    2    2    2    3    3    3    3
#>  [6477,]    1    2    3    2    4    5    5    5    5
#>  [6478,]    1    2    1    3    1    4    5    4    5
#>  [6479,]    1    2    3    3    3    4    5    5    5
#>  [6480,]    1    1    2    2    2    3    4    4    5
#>  [6481,]    1    2    3    2    4    5    6    7    8
#>  [6482,]    1    1    2    1    2    3    4    5    6
#>  [6483,]    1    2    3    4    5    6    7    8    7
#>  [6484,]    1    2    3    4    2    5    6    7    7
#>  [6485,]    1    1    2    3    4    5    6    6    7
#>  [6486,]    1    2    2    3    4    5    6    7    8
#>  [6487,]    1    2    1    1    3    4    5    6    7
#>  [6488,]    1    2    1    3    4    5    6    6    7
#>  [6489,]    1    1    2    1    3    4    5    6    7
#>  [6490,]    1    1    2    2    3    4    4    4    4
#>  [6491,]    1    1    2    1    1    3    4    5    5
#>  [6492,]    1    2    2    1    2    3    3    3    3
#>  [6493,]    1    2    2    3    2    4    4    5    4
#>  [6494,]    1    1    2    2    1    3    4    3    5
#>  [6495,]    1    2    1    2    1    3    4    4    4
#>  [6496,]    1    2    1    1    1    3    4    3    5
#>  [6497,]    1    1    1    2    3    4    4    4    5
#>  [6498,]    1    1    2    2    3    4    5    6    5
#>  [6499,]    1    1    1    1    2    3    4    5    6
#>  [6500,]    1    1    1    2    1    3    4    5    6
#>  [6501,]    1    2    3    4    4    5    5    5    6
#>  [6502,]    1    2    3    4    3    5    6    6    5
#>  [6503,]    1    2    2    2    2    3    4    4    4
#>  [6504,]    1    1    1    1    2    3    3    4    3
#>  [6505,]    1    2    3    4    2    5    6    5    5
#>  [6506,]    1    2    3    4    3    5    6    7    5
#>  [6507,]    1    2    2    2    2    3    4    3    3
#>  [6508,]    1    2    2    3    3    4    4    5    4
#>  [6509,]    1    2    3    3    1    4    4    4    4
#>  [6510,]    1    2    3    4    2    5    6    7    6
#>  [6511,]    1    1    1    2    3    4    5    5    5
#>  [6512,]    1    2    3    3    3    4    5    6    5
#>  [6513,]    1    2    1    2    1    3    4    5    6
#>  [6514,]    1    2    2    1    1    3    4    5    6
#>  [6515,]    1    2    2    1    3    4    4    4    5
#>  [6516,]    1    2    3    4    5    6    6    7    7
#>  [6517,]    1    2    3    3    4    5    5    6    7
#>  [6518,]    1    2    2    2    2    3    4    5    6
#>  [6519,]    1    2    3    1    4    5    6    6    7
#>  [6520,]    1    2    3    4    2    5    6    6    7
#>  [6521,]    1    2    3    4    3    5    5    6    5
#>  [6522,]    1    2    3    1    2    4    4    5    6
#>  [6523,]    1    1    2    1    3    4    5    6    7
#>  [6524,]    1    2    3    4    2    5    6    7    5
#>  [6525,]    1    2    3    4    3    5    6    7    8
#>  [6526,]    1    1    2    3    4    5    6    7    6
#>  [6527,]    1    2    1    3    4    5    6    6    7
#>  [6528,]    1    2    3    4    5    6    7    7    8
#>  [6529,]    1    2    3    2    4    5    5    5    5
#>  [6530,]    1    2    3    1    1    4    4    4    5
#>  [6531,]    1    2    1    3    4    5    6    6    7
#>  [6532,]    1    2    3    2    3    4    5    4    6
#>  [6533,]    1    2    3    3    2    4    5    6    6
#>  [6534,]    1    1    1    2    3    4    4    4    5
#>  [6535,]    1    1    1    2    2    3    3    3    4
#>  [6536,]    1    2    2    3    4    5    6    6    7
#>  [6537,]    1    2    2    2    2    3    4    4    5
#>  [6538,]    1    2    2    2    1    3    3    3    4
#>  [6539,]    1    1    2    1    3    4    5    6    6
#>  [6540,]    1    2    3    4    3    5    6    5    7
#>  [6541,]    1    1    2    3    4    5    6    7    5
#>  [6542,]    1    2    3    4    1    5    6    5    7
#>  [6543,]    1    2    1    3    4    5    6    6    7
#>  [6544,]    1    2    2    2    2    3    4    5    5
#>  [6545,]    1    1    1    1    2    3    4    4    4
#>  [6546,]    1    2    3    4    5    6    7    7    7
#>  [6547,]    1    2    3    4    2    5    5    5    5
#>  [6548,]    1    2    3    4    3    5    5    5    6
#>  [6549,]    1    2    3    4    3    5    6    7    7
#>  [6550,]    1    2    3    3    2    4    5    6    7
#>  [6551,]    1    1    2    1    1    3    3    3    4
#>  [6552,]    1    2    1    2    2    3    4    5    6
#>  [6553,]    1    1    1    2    1    3    4    5    4
#>  [6554,]    1    2    2    3    4    5    5    5    5
#>  [6555,]    1    1    1    1    2    3    3    3    4
#>  [6556,]    1    2    1    1    3    4    5    6    7
#>  [6557,]    1    2    3    3    3    4    5    6    5
#>  [6558,]    1    1    2    3    2    4    4    4    5
#>  [6559,]    1    2    3    2    2    4    5    6    7
#>  [6560,]    1    1    2    3    4    5    6    7    8
#>  [6561,]    1    2    1    3    4    5    6    7    7
#>  [6562,]    1    2    3    4    5    6    7    7    7
#>  [6563,]    1    2    3    4    3    5    6    7    7
#>  [6564,]    1    2    3    4    5    6    7    7    8
#>  [6565,]    1    2    3    3    4    5    6    7    8
#>  [6566,]    1    2    3    4    5    6    7    8    9
#>  [6567,]    1    2    3    4    1    5    5    6    7
#>  [6568,]    1    1    2    3    4    5    6    7    8
#>  [6569,]    1    2    3    2    4    5    6    7    5
#>  [6570,]    1    2    1    2    3    4    5    6    5
#>  [6571,]    1    2    3    4    5    6    7    8    8
#>  [6572,]    1    2    3    3    4    5    6    7    8
#>  [6573,]    1    2    3    1    4    5    6    6    7
#>  [6574,]    1    2    3    4    3    5    6    6    5
#>  [6575,]    1    2    3    1    4    5    6    5    5
#>  [6576,]    1    2    1    3    1    4    4    5    6
#>  [6577,]    1    2    1    1    3    4    5    6    6
#>  [6578,]    1    2    2    3    4    5    6    7    8
#>  [6579,]    1    2    2    2    2    3    4    5    6
#>  [6580,]    1    2    1    1    2    3    3    4    5
#>  [6581,]    1    1    1    1    2    3    3    4    5
#>  [6582,]    1    2    1    3    4    5    6    5    7
#>  [6583,]    1    1    2    3    4    5    6    7    8
#>  [6584,]    1    1    2    3    4    5    6    7    8
#>  [6585,]    1    2    3    4    2    5    6    6    7
#>  [6586,]    1    2    3    4    2    5    6    6    7
#>  [6587,]    1    2    1    1    3    4    5    6    7
#>  [6588,]    1    1    2    3    2    4    5    6    6
#>  [6589,]    1    2    2    2    3    4    4    4    4
#>  [6590,]    1    2    2    2    3    4    5    5    6
#>  [6591,]    1    2    3    4    3    5    6    7    8
#>  [6592,]    1    2    3    1    4    5    5    6    6
#>  [6593,]    1    1    2    1    1    3    3    3    3
#>  [6594,]    1    1    2    1    3    4    5    5    5
#>  [6595,]    1    2    3    1    4    5    6    6    7
#>  [6596,]    1    2    1    3    1    4    5    5    6
#>  [6597,]    1    2    3    4    4    5    6    6    7
#>  [6598,]    1    2    2    3    4    5    5    5    6
#>  [6599,]    1    2    3    4    3    5    6    7    6
#>  [6600,]    1    1    2    3    2    4    5    6    7
#>  [6601,]    1    1    2    3    4    5    6    7    5
#>  [6602,]    1    2    3    4    5    6    7    8    9
#>  [6603,]    1    2    1    3    4    5    6    5    7
#>  [6604,]    1    2    2    3    4    5    6    7    8
#>  [6605,]    1    1    2    3    4    5    6    7    8
#>  [6606,]    1    2    3    2    4    5    6    7    8
#>  [6607,]    1    2    3    1    4    5    6    7    7
#>  [6608,]    1    1    2    3    2    4    5    4    6
#>  [6609,]    1    1    2    2    3    4    4    5    6
#>  [6610,]    1    1    2    3    1    4    5    5    6
#>  [6611,]    1    2    3    4    1    5    6    6    6
#>  [6612,]    1    2    1    3    4    5    5    6    7
#>  [6613,]    1    2    1    1    3    4    5    4    5
#>  [6614,]    1    2    1    1    3    4    4    5    4
#>  [6615,]    1    2    3    4    5    6    7    8    9
#>  [6616,]    1    2    3    4    5    6    7    8    9
#>  [6617,]    1    2    3    3    4    5    6    7    8
#>  [6618,]    1    2    3    1    4    5    6    7    8
#>  [6619,]    1    1    2    3    3    4    5    6    5
#>  [6620,]    1    2    1    3    2    4    5    6    4
#>  [6621,]    1    1    2    3    1    4    5    5    6
#>  [6622,]    1    1    1    2    2    3    4    3    4
#>  [6623,]    1    1    1    2    3    4    4    4    5
#>  [6624,]    1    1    2    3    2    4    5    5    6
#>  [6625,]    1    2    3    4    2    5    6    7    7
#>  [6626,]    1    2    3    4    1    5    6    7    8
#>  [6627,]    1    2    3    4    5    6    7    7    7
#>  [6628,]    1    2    3    4    4    5    6    5    7
#>  [6629,]    1    1    1    2    3    4    5    6    6
#>  [6630,]    1    1    1    1    1    2    3    2    3
#>  [6631,]    1    1    1    1    1    2    3    3    3
#>  [6632,]    1    1    1    1    1    2    2    2    2
#>  [6633,]    1    1    1    1    1    2    2    2    2
#>  [6634,]    1    1    1    1    1    2    2    2    2
#>  [6635,]    1    1    1    1    1    2    2    2    2
#>  [6636,]    1    1    2    2    3    4    4    4    4
#>  [6637,]    1    2    3    2    2    4    4    4    4
#>  [6638,]    1    2    3    2    3    4    5    5    6
#>  [6639,]    1    1    1    1    2    3    4    4    5
#>  [6640,]    1    1    2    2    3    4    5    6    6
#>  [6641,]    1    2    3    1    4    5    6    7    8
#>  [6642,]    1    2    3    4    3    5    6    7    8
#>  [6643,]    1    2    3    3    2    4    5    6    7
#>  [6644,]    1    2    3    4    5    6    7    8    9
#>  [6645,]    1    1    2    3    4    5    6    6    5
#>  [6646,]    1    2    2    3    2    4    5    4    6
#>  [6647,]    1    2    3    3    3    4    5    5    6
#>  [6648,]    1    2    2    3    4    5    6    7    8
#>  [6649,]    1    1    1    1    1    2    2    2    2
#>  [6650,]    1    1    1    1    2    3    4    5    5
#>  [6651,]    1    1    1    2    1    3    3    4    4
#>  [6652,]    1    1    1    2    2    3    4    4    5
#>  [6653,]    1    2    3    4    1    5    5    5    5
#>  [6654,]    1    2    2    3    1    4    4    4    4
#>  [6655,]    1    1    1    2    2    3    4    4    5
#>  [6656,]    1    1    2    1    1    3    4    5    4
#>  [6657,]    1    2    2    1    2    3    4    5    6
#>  [6658,]    1    2    3    2    3    4    5    4    6
#>  [6659,]    1    2    3    1    3    4    5    5    5
#>  [6660,]    1    1    2    3    4    5    5    5    5
#>  [6661,]    1    1    2    3    1    4    5    5    5
#>  [6662,]    1    2    3    4    4    5    6    7    8
#>  [6663,]    1    2    1    3    4    5    6    7    8
#>  [6664,]    1    2    1    3    4    5    4    5    5
#>  [6665,]    1    1    2    3    1    4    5    5    6
#>  [6666,]    1    2    3    4    5    6    7    7    8
#>  [6667,]    1    2    2    3    2    4    5    6    7
#>  [6668,]    1    2    3    4    5    6    6    7    8
#>  [6669,]    1    2    2    3    4    5    5    6    6
#>  [6670,]    1    2    3    4    5    6    7    8    9
#>  [6671,]    1    2    3    4    5    6    6    7    6
#>  [6672,]    1    2    3    2    4    5    6    7    5
#>  [6673,]    1    2    3    4    5    6    7    8    9
#>  [6674,]    1    2    1    2    3    4    5    6    6
#>  [6675,]    1    2    3    4    2    5    6    6    6
#>  [6676,]    1    1    1    2    2    3    4    5    5
#>  [6677,]    1    1    2    3    3    4    5    5    4
#>  [6678,]    1    2    3    2    3    4    5    5    5
#>  [6679,]    1    2    3    4    5    6    6    6    7
#>  [6680,]    1    2    3    4    4    5    5    5    5
#>  [6681,]    1    2    2    3    2    4    5    4    6
#>  [6682,]    1    2    3    4    5    6    7    8    8
#>  [6683,]    1    2    1    3    4    5    5    6    7
#>  [6684,]    1    2    3    4    1    5    6    7    8
#>  [6685,]    1    2    3    4    5    6    7    7    7
#>  [6686,]    1    2    3    4    5    6    7    7    8
#>  [6687,]    1    2    3    4    5    6    7    7    8
#>  [6688,]    1    2    3    4    5    6    7    8    8
#>  [6689,]    1    2    2    2    3    4    5    6    7
#>  [6690,]    1    2    2    3    3    3    4    5    6
#>  [6691,]    1    1    2    3    3    4    5    6    7
#>  [6692,]    1    1    2    3    2    4    5    5    6
#>  [6693,]    1    1    1    2    1    3    4    5    5
#>  [6694,]    1    2    3    4    1    5    6    7    8
#>  [6695,]    1    2    3    4    2    5    5    5    6
#>  [6696,]    1    2    3    4    3    5    6    7    8
#>  [6697,]    1    2    3    4    5    6    7    8    9
#>  [6698,]    1    2    3    4    1    5    6    7    8
#>  [6699,]    1    1    2    1    2    3    4    4    5
#>  [6700,]    1    1    2    1    1    3    4    4    4
#>  [6701,]    1    1    2    1    1    3    4    5    4
#>  [6702,]    1    1    2    2    2    3    4    5    4
#>  [6703,]    1    1    1    1    2    3    4    5    4
#>  [6704,]    1    1    2    2    1    3    4    5    6
#>  [6705,]    1    2    3    4    5    6    6    7    6
#>  [6706,]    1    2    3    1    3    4    5    5    6
#>  [6707,]    1    2    1    2    3    4    5    4    4
#>  [6708,]    1    2    3    2    2    4    5    5    6
#>  [6709,]    1    2    3    1    1    4    5    5    5
#>  [6710,]    1    2    1    1    1    3    3    3    3
#>  [6711,]    1    1    1    1    2    3    4    4    4
#>  [6712,]    1    2    1    1    3    4    5    6    6
#>  [6713,]    1    2    1    1    1    3    4    4    5
#>  [6714,]    1    1    1    1    2    3    4    4    5
#>  [6715,]    1    1    2    3    4    5    6    7    6
#>  [6716,]    1    2    1    3    1    4    5    6    6
#>  [6717,]    1    1    1    2    1    3    4    5    6
#>  [6718,]    1    2    3    4    4    5    5    6    7
#>  [6719,]    1    1    2    2    3    4    5    6    7
#>  [6720,]    1    2    3    4    5    6    6    7    7
#>  [6721,]    1    2    3    2    2    4    5    6    7
#>  [6722,]    1    1    2    3    3    4    5    4    6
#>  [6723,]    1    2    1    3    3    4    5    6    6
#>  [6724,]    1    1    2    1    3    4    5    6    5
#>  [6725,]    1    2    1    2    3    4    5    6    6
#>  [6726,]    1    1    2    2    3    4    5    6    6
#>  [6727,]    1    1    2    3    2    4    5    6    7
#>  [6728,]    1    2    1    3    4    5    6    7    6
#>  [6729,]    1    2    3    4    3    5    6    7    8
#>  [6730,]    1    1    2    2    3    4    4    5    6
#>  [6731,]    1    1    2    2    3    4    4    5    6
#>  [6732,]    1    2    3    3    2    4    5    6    6
#>  [6733,]    1    2    3    2    4    5    6    7    8
#>  [6734,]    1    1    1    1    2    3    4    4    5
#>  [6735,]    1    2    3    1    2    4    4    5    4
#>  [6736,]    1    2    3    1    1    4    5    5    5
#>  [6737,]    1    2    2    2    2    3    4    4    4
#>  [6738,]    1    1    1    2    1    3    4    4    4
#>  [6739,]    1    2    1    2    1    3    4    4    3
#>  [6740,]    1    2    1    1    3    4    5    5    4
#>  [6741,]    1    2    3    4    5    6    7    6    8
#>  [6742,]    1    2    3    1    2    4    4    5    6
#>  [6743,]    1    2    2    3    4    5    6    7    6
#>  [6744,]    1    2    3    4    5    6    7    7    7
#>  [6745,]    1    2    3    4    5    6    7    7    7
#>  [6746,]    1    2    3    4    5    6    7    6    7
#>  [6747,]    1    1    2    3    4    5    6    6    6
#>  [6748,]    1    2    3    3    1    4    5    5    5
#>  [6749,]    1    2    3    3    4    5    6    7    6
#>  [6750,]    1    2    2    3    4    5    6    7    8
#>  [6751,]    1    2    2    2    3    4    4    5    6
#>  [6752,]    1    1    2    1    1    3    3    4    5
#>  [6753,]    1    1    2    1    2    3    3    4    4
#>  [6754,]    1    2    1    1    2    3    4    4    4
#>  [6755,]    1    1    1    1    1    2    2    3    2
#>  [6756,]    1    2    3    2    4    5    6    7    8
#>  [6757,]    1    1    2    3    1    4    5    6    6
#>  [6758,]    1    1    2    1    3    4    5    5    5
#>  [6759,]    1    2    1    2    3    4    5    6    5
#>  [6760,]    1    2    2    2    2    3    4    4    4
#>  [6761,]    1    1    1    2    3    4    5    5    6
#>  [6762,]    1    2    1    3    1    4    5    6    7
#>  [6763,]    1    2    3    2    4    5    5    5    5
#>  [6764,]    1    2    3    4    2    5    5    6    6
#>  [6765,]    1    1    2    3    3    4    5    6    7
#>  [6766,]    1    2    1    1    3    4    5    6    7
#>  [6767,]    1    2    3    1    4    5    6    6    7
#>  [6768,]    1    2    3    1    4    5    5    5    6
#>  [6769,]    1    2    1    3    4    5    5    6    5
#>  [6770,]    1    2    3    4    5    6    6    7    8
#>  [6771,]    1    2    3    4    2    5    6    7    6
#>  [6772,]    1    2    3    4    3    5    6    7    6
#>  [6773,]    1    2    1    3    4    5    6    6    5
#>  [6774,]    1    2    3    4    5    6    6    6    7
#>  [6775,]    1    2    2    3    2    4    5    6    6
#>  [6776,]    1    1    1    2    1    3    4    5    6
#>  [6777,]    1    2    2    3    2    4    4    4    4
#>  [6778,]    1    1    1    2    3    4    4    4    4
#>  [6779,]    1    2    3    2    2    4    5    5    5
#>  [6780,]    1    2    2    3    2    4    4    4    4
#>  [6781,]    1    1    2    1    1    3    4    4    4
#>  [6782,]    1    2    3    2    4    5    5    5    5
#>  [6783,]    1    2    2    3    4    5    6    7    6
#>  [6784,]    1    2    2    3    4    5    6    7    8
#>  [6785,]    1    1    2    1    3    4    5    5    5
#>  [6786,]    1    2    3    3    4    5    6    6    7
#>  [6787,]    1    2    3    4    2    5    6    5    7
#>  [6788,]    1    2    3    4    2    5    6    7    8
#>  [6789,]    1    1    1    2    2    3    4    4    4
#>  [6790,]    1    1    1    1    2    3    3    4    3
#>  [6791,]    1    1    2    2    3    4    5    4    6
#>  [6792,]    1    2    1    3    1    4    5    6    5
#>  [6793,]    1    1    1    2    2    3    3    4    5
#>  [6794,]    1    2    3    2    4    5    6    6    7
#>  [6795,]    1    1    2    3    3    4    5    5    6
#>  [6796,]    1    1    1    1    1    2    3    3    3
#>  [6797,]    1    1    1    1    2    3    4    4    4
#>  [6798,]    1    1    1    1    1    2    3    4    3
#>  [6799,]    1    2    3    4    4    5    6    6    6
#>  [6800,]    1    2    1    1    2    3    4    3    4
#>  [6801,]    1    2    1    3    4    5    6    7    4
#>  [6802,]    1    1    2    1    2    3    4    4    4
#>  [6803,]    1    2    3    3    4    5    6    6    6
#>  [6804,]    1    2    3    2    2    4    5    5    5
#>  [6805,]    1    2    2    2    2    3    4    4    3
#>  [6806,]    1    1    2    2    1    3    3    3    4
#>  [6807,]    1    2    3    4    5    6    7    8    8
#>  [6808,]    1    2    3    4    5    6    7    7    7
#>  [6809,]    1    2    3    4    1    5    6    6    6
#>  [6810,]    1    2    1    3    4    5    5    5    5
#>  [6811,]    1    2    3    4    5    6    6    7    8
#>  [6812,]    1    2    3    4    5    6    7    8    7
#>  [6813,]    1    2    3    4    5    6    7    8    9
#>  [6814,]    1    2    3    2    4    5    6    7    8
#>  [6815,]    1    2    1    3    1    4    5    4    6
#>  [6816,]    1    2    3    4    1    5    6    7    8
#>  [6817,]    1    2    1    3    4    5    6    7    8
#>  [6818,]    1    2    3    2    4    5    6    7    8
#>  [6819,]    1    2    3    4    3    5    6    7    8
#>  [6820,]    1    1    2    2    2    3    4    4    5
#>  [6821,]    1    2    3    4    5    6    7    6    7
#>  [6822,]    1    2    3    4    3    5    6    6    7
#>  [6823,]    1    1    2    1    3    4    5    6    7
#>  [6824,]    1    1    1    1    2    3    4    5    5
#>  [6825,]    1    2    3    4    1    5    6    6    7
#>  [6826,]    1    2    3    1    1    4    4    4    4
#>  [6827,]    1    2    3    3    1    4    5    5    6
#>  [6828,]    1    1    2    3    2    4    5    6    7
#>  [6829,]    1    2    3    1    3    4    5    6    7
#>  [6830,]    1    2    3    4    5    6    7    8    6
#>  [6831,]    1    2    3    4    5    6    7    8    9
#>  [6832,]    1    2    3    3    3    4    5    5    5
#>  [6833,]    1    1    1    2    3    4    5    5    5
#>  [6834,]    1    2    3    3    2    4    5    5    5
#>  [6835,]    1    1    2    1    3    4    5    5    5
#>  [6836,]    1    2    3    4    5    6    6    7    8
#>  [6837,]    1    2    3    4    5    6    7    8    9
#>  [6838,]    1    2    3    4    5    6    7    8    9
#>  [6839,]    1    2    2    3    4    5    6    7    8
#>  [6840,]    1    2    3    4    5    6    7    8    9
#>  [6841,]    1    2    2    3    4    5    6    7    8
#>  [6842,]    1    2    3    4    5    6    7    8    9
#>  [6843,]    1    2    3    4    5    6    6    6    7
#>  [6844,]    1    2    3    4    4    5    6    6    7
#>  [6845,]    1    1    1    2    2    3    4    5    6
#>  [6846,]    1    2    3    4    5    6    7    6    8
#>  [6847,]    1    2    3    4    5    6    7    8    9
#>  [6848,]    1    2    3    4    5    6    7    8    9
#>  [6849,]    1    2    3    4    4    5    6    7    8
#>  [6850,]    1    2    2    3    4    5    6    7    7
#>  [6851,]    1    1    2    2    2    3    4    5    6
#>  [6852,]    1    2    3    1    4    5    6    5    5
#>  [6853,]    1    2    3    4    1    5    6    6    7
#>  [6854,]    1    2    3    2    2    4    5    6    7
#>  [6855,]    1    2    2    3    3    4    5    6    5
#>  [6856,]    1    2    3    3    2    4    4    4    4
#>  [6857,]    1    2    2    3    4    5    6    6    6
#>  [6858,]    1    2    3    4    5    6    7    8    7
#>  [6859,]    1    1    1    2    2    3    4    5    6
#>  [6860,]    1    2    1    1    1    3    4    5    6
#>  [6861,]    1    2    2    3    2    4    5    6    5
#>  [6862,]    1    2    3    4    3    5    6    5    5
#>  [6863,]    1    2    3    2    3    4    5    6    5
#>  [6864,]    1    2    3    3    3    4    4    5    4
#>  [6865,]    1    1    1    1    1    2    2    2    2
#>  [6866,]    1    1    2    2    2    3    4    3    4
#>  [6867,]    1    1    2    1    2    3    3    3    4
#>  [6868,]    1    2    1    3    3    4    5    6    7
#>  [6869,]    1    2    2    3    2    4    5    6    7
#>  [6870,]    1    2    3    1    4    5    5    6    7
#>  [6871,]    1    2    1    3    3    4    5    6    6
#>  [6872,]    1    2    3    2    4    5    6    5    5
#>  [6873,]    1    2    2    1    2    3    4    5    5
#>  [6874,]    1    1    2    3    1    4    4    4    5
#>  [6875,]    1    2    2    3    2    4    5    6    5
#>  [6876,]    1    2    2    1    2    3    3    3    3
#>  [6877,]    1    1    1    1    1    2    2    3    3
#>  [6878,]    1    2    1    1    1    3    4    4    4
#>  [6879,]    1    1    1    1    1    2    2    2    2
#>  [6880,]    1    1    1    1    2    3    4    3    5
#>  [6881,]    1    1    1    1    1    2    3    2    3
#>  [6882,]    1    1    2    1    1    3    4    5    5
#>  [6883,]    1    2    2    2    2    3    4    4    5
#>  [6884,]    1    2    2    3    1    4    5    6    6
#>  [6885,]    1    2    3    3    4    5    6    7    7
#>  [6886,]    1    2    3    3    4    5    6    7    8
#>  [6887,]    1    2    2    2    1    3    4    5    6
#>  [6888,]    1    2    3    4    5    6    7    7    8
#>  [6889,]    1    2    3    4    5    6    7    8    6
#>  [6890,]    1    2    3    4    3    5    6    7    7
#>  [6891,]    1    1    2    1    2    3    3    3    4
#>  [6892,]    1    2    2    2    2    3    4    4    3
#>  [6893,]    1    2    2    2    2    3    4    5    5
#>  [6894,]    1    2    2    3    2    4    5    6    7
#>  [6895,]    1    2    2    3    2    4    5    6    6
#>  [6896,]    1    2    1    3    1    4    5    5    6
#>  [6897,]    1    2    3    3    3    4    4    4    4
#>  [6898,]    1    2    3    2    3    4    4    4    4
#>  [6899,]    1    2    1    1    1    3    4    3    3
#>  [6900,]    1    2    1    1    3    4    5    5    5
#>  [6901,]    1    2    3    4    5    6    6    7    6
#>  [6902,]    1    2    2    1    3    4    5    6    5
#>  [6903,]    1    2    3    2    1    4    5    6    5
#>  [6904,]    1    2    3    4    4    5    6    7    8
#>  [6905,]    1    2    3    2    2    4    4    5    6
#>  [6906,]    1    1    2    1    1    3    4    5    6
#>  [6907,]    1    2    3    4    5    6    6    6    7
#>  [6908,]    1    2    1    1    1    3    3    4    3
#>  [6909,]    1    2    3    2    2    4    5    4    6
#>  [6910,]    1    1    1    1    1    2    2    3    2
#>  [6911,]    1    2    2    2    2    3    3    4    3
#>  [6912,]    1    2    1    3    4    5    6    6    7
#>  [6913,]    1    1    2    3    3    4    5    6    7
#>  [6914,]    1    2    3    2    4    5    6    7    8
#>  [6915,]    1    2    3    4    4    5    6    5    6
#>  [6916,]    1    2    3    3    4    5    6    7    6
#>  [6917,]    1    1    1    1    1    2    3    2    3
#>  [6918,]    1    2    1    1    1    3    3    3    3
#>  [6919,]    1    1    1    1    1    2    2    2    3
#>  [6920,]    1    1    1    1    1    2    3    3    3
#>  [6921,]    1    1    1    2    1    3    3    3    3
#>  [6922,]    1    1    2    2    1    3    3    3    3
#>  [6923,]    1    1    1    1    1    2    2    2    2
#>  [6924,]    1    1    1    1    2    3    3    3    3
#>  [6925,]    1    1    1    1    1    2    3    2    3
#>  [6926,]    1    1    1    1    1    2    3    3    4
#>  [6927,]    1    2    3    4    4    5    6    6    6
#>  [6928,]    1    2    2    3    4    5    5    5    5
#>  [6929,]    1    1    2    1    1    3    3    3    3
#>  [6930,]    1    1    2    2    1    3    3    3    3
#>  [6931,]    1    2    1    2    1    3    3    3    3
#>  [6932,]    1    1    2    2    1    3    3    3    3
#>  [6933,]    1    2    3    3    4    5    5    5    6
#>  [6934,]    1    2    2    2    3    4    5    6    7
#>  [6935,]    1    2    2    3    3    4    5    6    6
#>  [6936,]    1    2    3    2    4    5    5    6    7
#>  [6937,]    1    2    3    4    5    6    6    7    8
#>  [6938,]    1    1    1    1    1    2    3    2    2
#>  [6939,]    1    1    2    1    1    3    4    4    4
#>  [6940,]    1    2    3    3    1    4    5    5    5
#>  [6941,]    1    2    1    1    2    3    4    4    4
#>  [6942,]    1    2    2    2    2    3    3    3    3
#>  [6943,]    1    1    2    1    1    3    4    4    5
#>  [6944,]    1    2    1    3    4    5    6    7    8
#>  [6945,]    1    2    3    4    5    6    7    8    7
#>  [6946,]    1    1    2    3    1    4    5    5    5
#>  [6947,]    1    2    3    4    5    6    7    8    7
#>  [6948,]    1    2    2    3    2    4    5    6    7
#>  [6949,]    1    2    2    3    3    4    5    6    7
#>  [6950,]    1    2    3    4    5    6    7    6    8
#>  [6951,]    1    2    3    4    4    5    6    7    6
#>  [6952,]    1    2    3    2    4    5    6    6    6
#>  [6953,]    1    2    3    4    2    5    5    6    6
#>  [6954,]    1    2    2    3    4    5    5    5    5
#>  [6955,]    1    2    3    3    4    5    5    5    5
#>  [6956,]    1    2    3    3    3    4    5    5    5
#>  [6957,]    1    2    3    4    3    5    6    7    6
#>  [6958,]    1    2    3    4    4    5    5    6    6
#>  [6959,]    1    2    3    2    1    4    5    5    5
#>  [6960,]    1    2    2    1    2    3    4    4    4
#>  [6961,]    1    1    2    1    1    3    4    5    5
#>  [6962,]    1    2    3    2    2    4    5    4    5
#>  [6963,]    1    2    3    4    3    5    6    7    6
#>  [6964,]    1    2    1    3    1    4    4    5    4
#>  [6965,]    1    2    3    4    5    6    7    8    8
#>  [6966,]    1    2    3    4    4    5    6    7    8
#>  [6967,]    1    1    2    2    1    3    3    4    3
#>  [6968,]    1    1    2    3    4    5    6    7    8
#>  [6969,]    1    2    3    4    3    5    6    6    7
#>  [6970,]    1    1    2    3    2    4    5    6    7
#>  [6971,]    1    2    2    2    2    3    4    5    5
#>  [6972,]    1    2    2    1    3    4    5    5    5
#>  [6973,]    1    2    3    1    4    5    5    5    5
#>  [6974,]    1    2    3    2    3    4    5    4    6
#>  [6975,]    1    1    1    2    2    3    4    4    5
#>  [6976,]    1    2    2    2    3    4    5    5    6
#>  [6977,]    1    2    3    4    4    5    6    6    6
#>  [6978,]    1    2    3    4    5    6    7    7    8
#>  [6979,]    1    2    3    4    5    6    7    8    8
#>  [6980,]    1    2    3    4    5    6    7    8    8
#>  [6981,]    1    2    3    4    5    6    7    8    9
#>  [6982,]    1    2    3    4    5    6    7    8    9
#>  [6983,]    1    2    3    3    4    5    6    7    6
#>  [6984,]    1    2    3    4    5    6    6    7    8
#>  [6985,]    1    2    1    1    2    3    4    5    6
#>  [6986,]    1    2    3    4    5    6    7    8    9
#>  [6987,]    1    2    3    4    5    6    7    8    7
#>  [6988,]    1    2    3    4    5    6    7    8    9
#>  [6989,]    1    2    3    4    3    5    6    7    8
#>  [6990,]    1    2    3    4    1    5    6    7    8
#>  [6991,]    1    1    1    2    1    3    4    5    6
#>  [6992,]    1    1    2    3    4    5    6    7    7
#>  [6993,]    1    2    3    4    5    6    7    7    7
#>  [6994,]    1    2    3    1    4    5    6    6    7
#>  [6995,]    1    1    1    1    1    2    3    4    4
#>  [6996,]    1    1    2    2    3    4    5    5    5
#>  [6997,]    1    2    2    3    2    4    5    4    5
#>  [6998,]    1    1    1    1    1    2    3    4    2
#>  [6999,]    1    1    2    2    3    4    5    4    4
#>  [7000,]    1    2    3    1    1    4    5    4    6
#>  [7001,]    1    1    2    1    1    3    4    5    6
#>  [7002,]    1    1    2    3    3    4    5    5    6
#>  [7003,]    1    2    3    3    3    4    5    5    5
#>  [7004,]    1    1    2    1    1    3    3    4    4
#>  [7005,]    1    1    1    1    1    2    2    2    2
#>  [7006,]    1    1    1    1    1    2    2    2    2
#>  [7007,]    1    1    1    1    1    2    3    3    4
#>  [7008,]    1    1    1    1    1    2    2    3    3
#>  [7009,]    1    1    2    2    2    3    4    5    3
#>  [7010,]    1    2    1    1    2    3    4    5    5
#>  [7011,]    1    2    3    4    5    6    7    8    7
#>  [7012,]    1    2    1    3    1    4    5    4    6
#>  [7013,]    1    2    3    4    2    5    6    7    5
#>  [7014,]    1    2    3    1    4    5    5    5    5
#>  [7015,]    1    1    2    3    2    4    4    4    5
#>  [7016,]    1    1    2    3    4    5    5    5    5
#>  [7017,]    1    2    2    2    2    3    4    4    4
#>  [7018,]    1    2    2    1    1    3    4    4    5
#>  [7019,]    1    1    1    1    1    2    3    4    5
#>  [7020,]    1    1    1    1    2    3    4    5    6
#>  [7021,]    1    2    1    2    1    3    4    5    6
#>  [7022,]    1    1    2    2    3    4    4    5    5
#>  [7023,]    1    2    3    4    4    5    6    6    6
#>  [7024,]    1    2    3    4    3    5    5    5    5
#>  [7025,]    1    2    3    4    4    5    6    6    7
#>  [7026,]    1    2    2    3    2    3    4    5    4
#>  [7027,]    1    2    1    3    4    5    5    5    5
#>  [7028,]    1    2    1    2    2    3    4    4    4
#>  [7029,]    1    1    2    3    4    5    6    7    6
#>  [7030,]    1    1    2    1    1    3    4    5    4
#>  [7031,]    1    1    1    1    1    2    3    4    2
#>  [7032,]    1    2    3    4    5    6    6    7    6
#>  [7033,]    1    2    3    4    4    5    6    7    7
#>  [7034,]    1    1    2    2    2    3    4    5    6
#>  [7035,]    1    1    1    1    1    2    3    4    5
#>  [7036,]    1    1    2    1    1    3    4    4    5
#>  [7037,]    1    1    2    3    4    5    5    5    6
#>  [7038,]    1    1    1    2    3    4    4    4    4
#>  [7039,]    1    2    2    3    4    5    5    5    5
#>  [7040,]    1    2    3    1    4    5    5    5    5
#>  [7041,]    1    2    3    4    4    5    5    5    5
#>  [7042,]    1    1    2    3    3    4    4    5    5
#>  [7043,]    1    1    2    1    1    3    4    5    5
#>  [7044,]    1    1    2    2    2    3    4    5    6
#>  [7045,]    1    2    3    4    5    6    7    8    9
#>  [7046,]    1    2    3    4    5    6    7    8    7
#>  [7047,]    1    2    3    4    5    6    7    8    9
#>  [7048,]    1    1    2    3    4    5    6    7    6
#>  [7049,]    1    2    3    4    5    6    7    8    9
#>  [7050,]    1    2    3    1    4    5    6    7    8
#>  [7051,]    1    2    3    4    5    6    7    8    7
#>  [7052,]    1    2    3    4    5    6    7    8    9
#>  [7053,]    1    2    2    2    3    4    4    4    4
#>  [7054,]    1    2    3    4    5    6    6    7    6
#>  [7055,]    1    1    2    3    1    4    5    6    7
#>  [7056,]    1    2    3    4    5    6    7    8    9
#>  [7057,]    1    2    3    4    5    6    6    6    7
#>  [7058,]    1    2    3    4    2    5    6    7    6
#>  [7059,]    1    1    1    2    1    3    4    5    6
#>  [7060,]    1    2    1    1    3    4    5    6    7
#>  [7061,]    1    2    3    4    5    6    7    8    9
#>  [7062,]    1    2    2    3    2    4    5    6    7
#>  [7063,]    1    2    3    4    5    6    7    8    9
#>  [7064,]    1    2    3    4    1    5    6    5    7
#>  [7065,]    1    2    3    4    3    5    6    5    7
#>  [7066,]    1    2    3    1    1    4    5    6    7
#>  [7067,]    1    2    1    1    3    4    5    6    6
#>  [7068,]    1    2    3    4    1    5    6    6    6
#>  [7069,]    1    2    2    1    3    4    5    5    5
#>  [7070,]    1    2    3    4    5    6    7    7    7
#>  [7071,]    1    2    3    4    4    5    6    7    8
#>  [7072,]    1    2    1    1    3    4    5    5    5
#>  [7073,]    1    2    1    3    3    4    4    4    5
#>  [7074,]    1    2    3    4    3    5    6    6    6
#>  [7075,]    1    2    1    3    2    4    5    6    5
#>  [7076,]    1    1    2    3    1    4    4    5    5
#>  [7077,]    1    1    2    3    4    5    6    7    6
#>  [7078,]    1    2    2    3    4    5    6    6    7
#>  [7079,]    1    2    3    4    2    5    6    7    7
#>  [7080,]    1    2    3    3    4    5    6    6    7
#>  [7081,]    1    2    3    3    4    5    5    6    7
#>  [7082,]    1    2    3    3    4    3    5    6    7
#>  [7083,]    1    2    3    4    5    6    7    8    7
#>  [7084,]    1    2    2    3    3    4    5    4    5
#>  [7085,]    1    2    2    3    2    4    5    5    5
#>  [7086,]    1    2    3    2    4    5    6    7    8
#>  [7087,]    1    1    2    3    3    4    5    6    7
#>  [7088,]    1    1    2    3    3    4    5    6    4
#>  [7089,]    1    1    2    3    3    4    5    6    7
#>  [7090,]    1    1    1    1    1    2    2    2    3
#>  [7091,]    1    1    1    2    1    3    3    3    3
#>  [7092,]    1    1    2    2    2    3    3    3    3
#>  [7093,]    1    2    1    3    2    4    4    4    4
#>  [7094,]    1    2    1    2    1    3    3    3    3
#>  [7095,]    1    2    2    2    1    3    3    3    3
#>  [7096,]    1    2    1    2    2    3    3    3    3
#>  [7097,]    1    1    1    1    1    2    3    3    3
#>  [7098,]    1    1    2    3    1    4    5    4    5
#>  [7099,]    1    1    1    1    1    2    3    3    4
#>  [7100,]    1    1    1    1    1    2    3    4    5
#>  [7101,]    1    1    2    3    4    5    6    7    8
#>  [7102,]    1    2    3    4    5    6    7    8    9
#>  [7103,]    1    1    2    2    2    3    4    4    4
#>  [7104,]    1    2    1    1    1    3    4    5    6
#>  [7105,]    1    2    3    4    5    6    7    8    9
#>  [7106,]    1    1    2    1    1    3    4    5    4
#>  [7107,]    1    1    1    1    1    2    3    4    5
#>  [7108,]    1    1    1    1    1    2    3    3    4
#>  [7109,]    1    1    1    2    1    3    3    3    3
#>  [7110,]    1    2    1    3    1    4    4    4    4
#>  [7111,]    1    2    1    3    1    4    4    5    4
#>  [7112,]    1    2    3    1    3    4    5    6    7
#>  [7113,]    1    2    3    4    4    5    5    6    7
#>  [7114,]    1    1    2    1    1    3    3    4    3
#>  [7115,]    1    2    2    2    3    4    5    6    7
#>  [7116,]    1    1    2    3    4    5    6    7    8
#>  [7117,]    1    2    3    4    3    5    5    6    6
#>  [7118,]    1    2    3    3    1    4    5    6    5
#>  [7119,]    1    2    2    2    3    4    5    6    5
#>  [7120,]    1    1    2    2    2    3    4    5    6
#>  [7121,]    1    2    3    4    3    5    6    7    7
#>  [7122,]    1    2    2    3    4    5    5    6    7
#>  [7123,]    1    2    3    4    5    6    7    8    9
#>  [7124,]    1    2    3    4    5    6    7    7    7
#>  [7125,]    1    2    3    2    4    5    6    7    7
#>  [7126,]    1    2    1    3    4    5    6    7    6
#>  [7127,]    1    1    2    3    4    5    6    5    7
#>  [7128,]    1    2    3    4    4    5    6    7    8
#>  [7129,]    1    2    3    4    5    6    7    8    9
#>  [7130,]    1    2    3    4    3    5    6    7    8
#>  [7131,]    1    2    2    3    4    5    6    7    7
#>  [7132,]    1    2    2    1    2    3    4    5    5
#>  [7133,]    1    2    3    3    4    5    5    6    7
#>  [7134,]    1    2    3    1    2    4    5    5    6
#>  [7135,]    1    1    2    3    3    4    4    4    5
#>  [7136,]    1    2    3    4    5    6    7    8    7
#>  [7137,]    1    2    3    4    5    6    6    7    8
#>  [7138,]    1    2    1    1    3    4    5    6    7
#>  [7139,]    1    2    2    2    3    4    5    4    5
#>  [7140,]    1    1    2    1    3    4    5    6    4
#>  [7141,]    1    2    2    3    4    5    6    7    6
#>  [7142,]    1    2    3    4    5    6    7    7    8
#>  [7143,]    1    1    2    3    4    5    6    5    7
#>  [7144,]    1    2    1    3    1    4    5    4    4
#>  [7145,]    1    2    1    3    1    4    5    5    5
#>  [7146,]    1    2    3    2    4    5    6    5    7
#>  [7147,]    1    2    3    4    3    5    6    7    6
#>  [7148,]    1    2    2    3    2    1    4    5    6
#>  [7149,]    1    1    1    2    3    4    5    5    6
#>  [7150,]    1    2    1    1    3    4    5    6    7
#>  [7151,]    1    2    2    2    2    3    4    5    6
#>  [7152,]    1    2    1    1    1    3    4    5    4
#>  [7153,]    1    1    2    1    1    3    4    5    4
#>  [7154,]    1    1    1    1    2    3    4    5    6
#>  [7155,]    1    2    3    3    1    4    4    5    5
#>  [7156,]    1    2    3    3    4    5    6    6    6
#>  [7157,]    1    2    3    4    4    5    6    6    6
#>  [7158,]    1    2    3    1    1    4    4    4    4
#>  [7159,]    1    1    2    2    2    3    3    3    3
#>  [7160,]    1    1    1    1    1    2    2    3    4
#>  [7161,]    1    1    1    1    1    2    3    4    3
#>  [7162,]    1    2    2    2    2    3    4    4    4
#>  [7163,]    1    1    1    1    1    2    3    4    4
#>  [7164,]    1    1    1    1    1    2    3    3    3
#>  [7165,]    1    1    1    1    1    2    3    4    4
#>  [7166,]    1    1    1    1    1    2    3    2    3
#>  [7167,]    1    1    1    1    1    2    3    2    2
#>  [7168,]    1    1    1    1    1    2    3    3    3
#>  [7169,]    1    2    2    2    3    4    4    4    4
#>  [7170,]    1    1    1    1    2    3    4    3    3
#>  [7171,]    1    1    1    1    1    2    2    2    2
#>  [7172,]    1    2    1    1    3    4    4    4    4
#>  [7173,]    1    1    1    2    1    3    3    4    3
#>  [7174,]    1    1    1    1    1    2    3    3    3
#>  [7175,]    1    1    1    1    1    2    3    3    3
#>  [7176,]    1    1    1    1    1    2    2    2    2
#>  [7177,]    1    1    1    1    1    2    2    2    3
#>  [7178,]    1    1    1    2    2    3    4    3    5
#>  [7179,]    1    2    2    3    4    5    5    5    6
#>  [7180,]    1    2    1    1    1    3    4    5    6
#>  [7181,]    1    1    1    1    1    2    3    3    3
#>  [7182,]    1    1    1    1    1    2    2    2    2
#>  [7183,]    1    1    1    1    1    2    2    2    2
#>  [7184,]    1    1    1    1    1    2    2    2    2
#>  [7185,]    1    1    1    1    1    2    3    3    3
#>  [7186,]    1    1    1    1    1    2    2    2    2
#>  [7187,]    1    1    1    1    1    2    2    2    2
#>  [7188,]    1    2    1    2    1    3    3    3    3
#>  [7189,]    1    2    3    3    4    5    6    6    6
#>  [7190,]    1    2    3    1    1    4    5    6    5
#>  [7191,]    1    1    2    2    2    3    4    4    5
#>  [7192,]    1    2    2    2    2    3    4    3    5
#>  [7193,]    1    1    1    1    1    2    2    2    2
#>  [7194,]    1    1    1    1    1    2    2    2    2
#>  [7195,]    1    1    1    1    1    2    2    2    2
#>  [7196,]    1    1    1    1    1    2    2    2    2
#>  [7197,]    1    1    1    1    1    2    2    2    2
#>  [7198,]    1    1    1    1    1    2    2    2    2
#>  [7199,]    1    1    1    1    1    2    3    3    2
#>  [7200,]    1    2    3    3    2    4    5    6    7
#>  [7201,]    1    2    1    2    3    4    5    6    7
#>  [7202,]    1    2    2    2    1    3    3    3    3
#>  [7203,]    1    2    2    3    2    4    4    4    5
#>  [7204,]    1    2    1    2    2    3    3    3    3
#>  [7205,]    1    1    2    3    1    4    5    5    5
#>  [7206,]    1    2    1    1    2    3    4    3    3
#>  [7207,]    1    2    2    2    1    3    4    3    4
#>  [7208,]    1    1    2    1    1    3    4    5    5
#>  [7209,]    1    2    3    4    5    6    7    6    8
#>  [7210,]    1    2    3    4    3    5    6    6    6
#>  [7211,]    1    2    2    3    3    4    4    4    4
#>  [7212,]    1    1    2    1    3    4    5    6    7
#>  [7213,]    1    2    3    4    5    6    7    8    7
#>  [7214,]    1    2    3    4    5    6    7    8    9
#>  [7215,]    1    2    2    3    3    4    5    6    6
#>  [7216,]    1    2    2    1    3    4    5    6    7
#>  [7217,]    1    2    2    3    4    5    6    7    8
#>  [7218,]    1    2    3    3    3    4    5    6    7
#>  [7219,]    1    1    2    3    3    4    5    6    4
#>  [7220,]    1    2    3    4    2    5    6    5    7
#>  [7221,]    1    2    3    3    4    5    6    5    7
#>  [7222,]    1    2    3    4    5    6    7    8    9
#>  [7223,]    1    2    3    4    4    5    6    5    7
#>  [7224,]    1    1    2    1    3    4    5    6    5
#>  [7225,]    1    2    1    1    1    3    4    4    5
#>  [7226,]    1    2    3    3    3    4    5    4    4
#>  [7227,]    1    2    3    3    2    4    4    4    4
#>  [7228,]    1    2    1    1    1    3    4    3    3
#>  [7229,]    1    1    1    1    1    2    2    2    2
#>  [7230,]    1    1    2    2    3    4    4    4    4
#>  [7231,]    1    2    1    1    2    3    4    3    5
#>  [7232,]    1    2    2    3    4    5    5    5    6
#>  [7233,]    1    2    3    1    2    4    4    4    4
#>  [7234,]    1    1    1    1    1    2    2    2    2
#>  [7235,]    1    1    1    1    1    2    2    2    2
#>  [7236,]    1    2    3    2    2    4    4    4    4
#>  [7237,]    1    1    2    2    2    3    3    3    3
#>  [7238,]    1    2    1    1    1    3    3    3    3
#>  [7239,]    1    2    1    1    3    4    4    4    5
#>  [7240,]    1    2    1    3    2    4    4    4    5
#>  [7241,]    1    2    3    4    5    6    7    6    8
#>  [7242,]    1    2    3    4    3    5    6    6    7
#>  [7243,]    1    1    2    1    3    4    4    4    5
#>  [7244,]    1    2    2    3    4    5    5    5    5
#>  [7245,]    1    2    3    1    1    4    5    4    4
#>  [7246,]    1    2    3    1    3    4    5    6    5
#>  [7247,]    1    2    3    1    2    4    5    5    6
#>  [7248,]    1    2    2    1    3    4    5    4    6
#>  [7249,]    1    2    3    4    1    5    5    6    5
#>  [7250,]    1    1    1    2    1    3    3    4    4
#>  [7251,]    1    1    1    1    1    2    2    2    2
#>  [7252,]    1    1    1    2    2    3    3    3    3
#>  [7253,]    1    2    3    3    3    4    5    5    5
#>  [7254,]    1    2    2    2    3    4    5    5    5
#>  [7255,]    1    2    3    2    4    5    6    6    6
#>  [7256,]    1    2    3    3    3    4    4    4    4
#>  [7257,]    1    1    2    3    4    5    6    7    7
#>  [7258,]    1    1    2    3    4    5    6    7    7
#>  [7259,]    1    2    3    4    5    6    7    7    8
#>  [7260,]    1    2    1    3    4    5    6    7    8
#>  [7261,]    1    2    3    1    1    4    4    5    4
#>  [7262,]    1    2    3    1    3    4    4    4    4
#>  [7263,]    1    2    3    4    3    5    6    5    6
#>  [7264,]    1    2    3    4    2    5    6    6    7
#>  [7265,]    1    2    3    2    4    5    6    7    7
#>  [7266,]    1    1    1    1    1    2    3    3    4
#>  [7267,]    1    1    1    1    1    2    3    3    3
#>  [7268,]    1    2    2    2    2    3    4    4    4
#>  [7269,]    1    2    1    3    1    4    5    5    6
#>  [7270,]    1    2    2    3    4    5    6    7    8
#>  [7271,]    1    1    1    2    3    4    5    6    7
#>  [7272,]    1    1    1    1    1    2    3    3    3
#>  [7273,]    1    1    1    1    2    3    4    4    5
#>  [7274,]    1    1    2    1    1    3    4    5    6
#>  [7275,]    1    2    1    1    2    3    3    4    5
#>  [7276,]    1    2    3    4    4    5    6    7    6
#>  [7277,]    1    2    3    2    3    4    5    4    6
#>  [7278,]    1    2    2    3    2    4    5    5    5
#>  [7279,]    1    2    3    4    4    5    6    7    8
#>  [7280,]    1    1    1    2    3    4    5    5    6
#>  [7281,]    1    2    3    1    3    4    4    5    4
#>  [7282,]    1    2    2    1    1    3    4    4    5
#>  [7283,]    1    2    3    1    4    5    5    5    5
#>  [7284,]    1    2    3    4    4    5    5    5    6
#>  [7285,]    1    2    3    4    5    6    6    7    6
#>  [7286,]    1    2    3    4    4    5    6    6    6
#>  [7287,]    1    2    1    1    1    3    4    5    6
#>  [7288,]    1    2    2    1    3    4    5    5    6
#>  [7289,]    1    1    2    1    3    4    5    6    7
#>  [7290,]    1    2    3    4    3    5    5    6    7
#>  [7291,]    1    2    2    2    2    3    4    5    6
#>  [7292,]    1    2    3    4    5    6    7    8    8
#>  [7293,]    1    2    2    3    4    5    6    7    8
#>  [7294,]    1    2    3    2    2    4    5    6    7
#>  [7295,]    1    2    3    4    4    5    6    7    8
#>  [7296,]    1    2    3    4    5    6    7    8    9
#>  [7297,]    1    2    3    4    5    6    7    8    8
#>  [7298,]    1    2    3    1    4    5    6    7    8
#>  [7299,]    1    2    3    4    4    5    6    7    6
#>  [7300,]    1    1    2    3    4    5    6    6    7
#>  [7301,]    1    1    2    2    3    4    5    6    7
#>  [7302,]    1    2    3    4    2    5    6    6    7
#>  [7303,]    1    2    3    2    3    4    5    6    7
#>  [7304,]    1    1    1    2    2    3    4    5    6
#>  [7305,]    1    1    2    1    3    4    5    6    7
#>  [7306,]    1    2    3    4    3    5    6    6    6
#>  [7307,]    1    2    1    1    1    3    4    4    4
#>  [7308,]    1    2    2    2    3    4    4    4    4
#>  [7309,]    1    2    2    1    2    3    4    4    4
#>  [7310,]    1    1    1    1    1    2    2    2    2
#>  [7311,]    1    1    1    1    1    2    2    2    2
#>  [7312,]    1    1    1    1    1    2    2    2    2
#>  [7313,]    1    2    3    4    1    5    5    6    7
#>  [7314,]    1    1    1    2    3    4    4    5    4
#>  [7315,]    1    2    3    3    3    4    5    4    4
#>  [7316,]    1    2    1    2    1    3    4    5    6
#>  [7317,]    1    2    2    3    4    5    6    5    7
#>  [7318,]    1    1    2    1    3    4    5    6    7
#>  [7319,]    1    2    3    4    4    5    6    7    8
#>  [7320,]    1    2    1    2    1    3    3    4    4
#>  [7321,]    1    2    3    1    4    5    6    7    7
#>  [7322,]    1    2    3    2    3    4    5    6    6
#>  [7323,]    1    2    1    3    4    5    6    7    5
#>  [7324,]    1    1    2    2    3    4    5    6    7
#>  [7325,]    1    2    2    2    3    4    5    5    6
#>  [7326,]    1    2    3    4    5    6    7    7    8
#>  [7327,]    1    2    3    4    5    6    7    8    8
#>  [7328,]    1    2    3    4    5    6    7    8    9
#>  [7329,]    1    2    3    3    4    5    5    6    7
#>  [7330,]    1    1    1    2    1    3    4    4    5
#>  [7331,]    1    1    2    2    2    3    3    4    3
#>  [7332,]    1    1    1    1    2    3    4    5    5
#>  [7333,]    1    2    1    2    2    3    3    3    3
#>  [7334,]    1    2    2    2    2    3    3    4    5
#>  [7335,]    1    2    3    4    5    6    7    8    9
#>  [7336,]    1    2    2    3    4    5    6    7    6
#>  [7337,]    1    2    3    4    3    5    6    7    8
#>  [7338,]    1    2    3    4    1    5    6    7    8
#>  [7339,]    1    2    3    4    3    5    6    7    8
#>  [7340,]    1    2    3    4    5    6    7    7    7
#>  [7341,]    1    2    2    3    4    5    5    5    5
#>  [7342,]    1    1    2    3    4    5    5    5    5
#>  [7343,]    1    1    1    2    2    3    3    3    3
#>  [7344,]    1    1    2    2    3    4    4    4    4
#>  [7345,]    1    1    2    2    3    4    5    4    5
#>  [7346,]    1    2    2    3    2    4    4    5    4
#>  [7347,]    1    2    2    2    3    4    5    5    5
#>  [7348,]    1    2    1    1    1    3    4    5    4
#>  [7349,]    1    1    2    2    2    3    4    5    6
#>  [7350,]    1    2    2    2    2    3    4    3    4
#>  [7351,]    1    1    1    1    1    2    3    3    3
#>  [7352,]    1    1    1    1    2    3    4    4    4
#>  [7353,]    1    1    2    1    3    4    5    5    6
#>  [7354,]    1    2    2    3    4    5    6    7    6
#>  [7355,]    1    2    2    1    3    4    5    6    7
#>  [7356,]    1    2    2    2    2    3    3    3    4
#>  [7357,]    1    1    1    1    2    3    3    3    4
#>  [7358,]    1    1    2    1    1    3    4    3    3
#>  [7359,]    1    2    3    3    2    4    5    6    6
#>  [7360,]    1    1    1    1    1    2    3    2    4
#>  [7361,]    1    2    1    3    1    4    5    5    6
#>  [7362,]    1    1    1    2    3    4    5    6    5
#>  [7363,]    1    2    3    4    2    5    6    6    6
#>  [7364,]    1    2    3    4    3    5    6    6    6
#>  [7365,]    1    1    1    1    1    2    3    2    4
#>  [7366,]    1    1    1    2    1    3    4    3    3
#>  [7367,]    1    1    1    1    1    2    2    2    2
#>  [7368,]    1    1    1    1    1    2    3    4    2
#>  [7369,]    1    1    2    2    2    3    4    5    5
#>  [7370,]    1    2    2    2    2    3    4    4    4
#>  [7371,]    1    2    2    3    4    5    6    7    8
#>  [7372,]    1    1    2    2    3    4    5    6    7
#>  [7373,]    1    1    1    1    1    2    3    4    3
#>  [7374,]    1    1    1    1    1    2    3    3    3
#>  [7375,]    1    1    1    1    1    2    2    2    2
#>  [7376,]    1    1    1    1    2    3    4    3    3
#>  [7377,]    1    1    1    2    3    4    5    4    4
#>  [7378,]    1    2    2    3    1    4    4    4    4
#>  [7379,]    1    2    3    4    4    5    6    6    6
#>  [7380,]    1    2    3    4    5    6    7    7    7
#>  [7381,]    1    2    3    4    5    6    6    6    7
#>  [7382,]    1    2    3    3    4    5    6    6    7
#>  [7383,]    1    2    3    4    5    6    7    8    7
#>  [7384,]    1    2    3    4    5    6    7    8    9
#>  [7385,]    1    2    1    3    4    5    5    5    6
#>  [7386,]    1    2    1    2    3    4    5    5    6
#>  [7387,]    1    2    3    4    5    6    7    8    9
#>  [7388,]    1    2    3    4    5    6    7    8    9
#>  [7389,]    1    2    3    4    5    6    7    8    9
#>  [7390,]    1    1    2    3    3    4    5    6    7
#>  [7391,]    1    2    3    3    4    5    6    7    6
#>  [7392,]    1    2    2    3    2    4    5    6    6
#>  [7393,]    1    2    2    3    4    5    6    5    7
#>  [7394,]    1    2    2    3    2    4    5    6    5
#>  [7395,]    1    2    3    4    2    5    6    7    8
#>  [7396,]    1    2    3    4    5    6    7    7    8
#>  [7397,]    1    2    2    1    3    4    5    6    7
#>  [7398,]    1    1    1    1    2    3    4    4    4
#>  [7399,]    1    2    3    1    3    4    5    5    5
#>  [7400,]    1    2    3    4    3    5    6    7    8
#>  [7401,]    1    2    3    4    2    5    6    7    6
#>  [7402,]    1    2    3    2    4    5    6    7    6
#>  [7403,]    1    2    3    3    3    4    5    4    6
#>  [7404,]    1    2    3    4    5    6    7    8    9
#>  [7405,]    1    2    3    4    5    6    7    8    8
#>  [7406,]    1    2    3    2    4    5    6    7    6
#>  [7407,]    1    1    2    3    4    5    6    7    8
#>  [7408,]    1    2    3    4    3    5    6    7    8
#>  [7409,]    1    2    2    3    4    5    6    7    8
#>  [7410,]    1    2    3    4    5    6    7    8    9
#>  [7411,]    1    2    3    4    5    6    7    8    9
#>  [7412,]    1    2    3    4    5    6    7    8    9
#>  [7413,]    1    2    3    4    5    6    7    8    9
#>  [7414,]    1    2    3    4    5    6    7    8    9
#>  [7415,]    1    2    3    4    4    5    6    7    8
#>  [7416,]    1    2    3    4    2    5    6    7    7
#>  [7417,]    1    2    2    3    3    4    5    5    5
#>  [7418,]    1    2    3    4    3    5    6    7    8
#>  [7419,]    1    2    3    4    5    6    7    8    9
#>  [7420,]    1    2    3    4    5    6    7    7    8
#>  [7421,]    1    2    3    3    1    4    5    6    7
#>  [7422,]    1    2    3    3    4    5    6    7    6
#>  [7423,]    1    2    3    4    3    5    6    6    6
#>  [7424,]    1    2    3    1    1    4    4    5    5
#>  [7425,]    1    2    3    1    2    4    5    6    7
#>  [7426,]    1    2    1    3    2    4    5    4    6
#>  [7427,]    1    1    2    3    2    4    5    5    6
#>  [7428,]    1    1    1    2    3    4    4    5    6
#>  [7429,]    1    2    3    4    4    5    6    6    6
#>  [7430,]    1    2    3    1    3    4    5    6    6
#>  [7431,]    1    2    2    2    3    4    5    6    7
#>  [7432,]    1    1    1    1    1    2    2    3    2
#>  [7433,]    1    1    1    1    1    2    2    2    2
#>  [7434,]    1    1    1    1    1    2    2    2    2
#>  [7435,]    1    1    1    1    1    2    3    3    3
#>  [7436,]    1    1    1    1    1    2    2    2    2
#>  [7437,]    1    1    1    1    1    2    2    2    2
#>  [7438,]    1    1    1    1    1    2    2    2    2
#>  [7439,]    1    1    1    1    1    2    2    2    2
#>  [7440,]    1    1    1    1    1    2    2    2    2
#>  [7441,]    1    1    1    1    1    2    2    2    2
#>  [7442,]    1    1    1    1    1    2    2    2    2
#>  [7443,]    1    1    1    1    1    2    2    2    2
#>  [7444,]    1    2    1    1    1    3    3    3    3
#>  [7445,]    1    1    1    1    1    2    3    3    3
#>  [7446,]    1    1    1    1    1    2    3    3    3
#>  [7447,]    1    1    1    1    1    2    2    2    2
#>  [7448,]    1    1    1    1    2    3    3    3    3
#>  [7449,]    1    2    1    1    1    3    3    3    4
#>  [7450,]    1    1    1    1    2    3    4    3    3
#>  [7451,]    1    1    2    2    2    3    3    3    4
#>  [7452,]    1    1    1    1    1    2    3    3    3
#>  [7453,]    1    2    1    1    3    4    5    4    4
#>  [7454,]    1    2    1    2    1    3    3    3    3
#>  [7455,]    1    1    2    1    1    3    3    3    4
#>  [7456,]    1    1    1    1    1    2    3    4    4
#>  [7457,]    1    1    1    1    1    2    3    3    3
#>  [7458,]    1    1    2    1    1    3    4    4    5
#>  [7459,]    1    1    2    2    2    3    4    4    5
#>  [7460,]    1    2    2    1    2    3    3    3    4
#>  [7461,]    1    1    2    2    2    3    4    5    6
#>  [7462,]    1    1    2    2    2    3    4    3    4
#>  [7463,]    1    2    2    3    1    4    5    5    6
#>  [7464,]    1    2    3    3    4    5    6    7    7
#>  [7465,]    1    2    3    4    2    5    6    6    7
#>  [7466,]    1    2    2    3    4    5    6    7    8
#>  [7467,]    1    2    2    1    3    4    5    6    6
#>  [7468,]    1    2    3    2    4    5    6    5    5
#>  [7469,]    1    2    3    4    5    6    7    8    7
#>  [7470,]    1    2    3    4    3    5    6    7    8
#>  [7471,]    1    2    3    4    1    5    6    6    7
#>  [7472,]    1    2    3    4    5    6    7    6    6
#>  [7473,]    1    2    2    1    1    3    4    4    3
#>  [7474,]    1    1    1    2    1    3    3    3    3
#>  [7475,]    1    1    2    2    2    3    3    3    3
#>  [7476,]    1    2    1    1    3    4    4    4    4
#>  [7477,]    1    2    2    3    4    5    6    6    6
#>  [7478,]    1    1    2    3    4    5    6    6    7
#>  [7479,]    1    2    2    3    3    4    5    6    6
#>  [7480,]    1    1    2    2    2    3    4    5    6
#>  [7481,]    1    2    3    2    2    4    5    5    5
#>  [7482,]    1    2    3    3    2    4    5    6    6
#>  [7483,]    1    2    3    4    5    6    7    7    8
#>  [7484,]    1    2    3    4    5    6    7    7    8
#>  [7485,]    1    2    3    4    5    6    7    6    8
#>  [7486,]    1    2    3    2    4    5    6    5    7
#>  [7487,]    1    2    3    4    5    6    7    6    8
#>  [7488,]    1    2    3    4    5    6    7    7    8
#>  [7489,]    1    2    3    4    5    6    7    7    8
#>  [7490,]    1    2    3    2    4    5    6    6    7
#>  [7491,]    1    1    2    3    4    5    6    7    7
#>  [7492,]    1    1    2    1    1    3    4    4    4
#>  [7493,]    1    1    1    1    2    3    4    4    4
#>  [7494,]    1    2    3    2    2    4    5    5    5
#>  [7495,]    1    1    1    1    2    3    4    4    4
#>  [7496,]    1    2    3    4    2    5    6    6    6
#>  [7497,]    1    2    2    2    1    3    4    4    4
#>  [7498,]    1    2    1    1    1    3    4    4    4
#>  [7499,]    1    2    1    1    1    3    4    5    4
#>  [7500,]    1    2    3    4    3    5    6    6    7
#>  [7501,]    1    1    1    1    1    2    3    3    4
#>  [7502,]    1    2    1    3    3    4    4    5    5
#>  [7503,]    1    2    3    3    1    4    5    5    5
#>  [7504,]    1    2    2    2    2    3    4    5    4
#>  [7505,]    1    2    2    2    3    4    5    4    5
#>  [7506,]    1    1    2    2    2    3    4    5    6
#>  [7507,]    1    1    1    1    1    2    3    3    3
#>  [7508,]    1    1    1    1    1    2    2    2    2
#>  [7509,]    1    2    1    1    1    3    3    3    3
#>  [7510,]    1    1    1    1    1    2    2    3    3
#>  [7511,]    1    1    1    1    1    2    2    2    2
#>  [7512,]    1    1    1    1    1    2    2    2    2
#>  [7513,]    1    1    1    1    1    2    2    2    2
#>  [7514,]    1    2    1    1    1    3    4    5    6
#>  [7515,]    1    2    2    1    2    3    3    4    4
#>  [7516,]    1    1    1    1    1    2    2    2    2
#>  [7517,]    1    1    1    1    1    2    2    2    2
#>  [7518,]    1    1    1    1    1    2    2    2    2
#>  [7519,]    1    1    1    1    1    2    2    2    2
#>  [7520,]    1    1    1    1    1    2    2    3    2
#>  [7521,]    1    1    1    1    1    2    3    4    3
#>  [7522,]    1    1    1    1    1    2    3    2    2
#>  [7523,]    1    1    1    1    1    2    3    3    2
#>  [7524,]    1    1    1    2    1    3    4    4    4
#>  [7525,]    1    1    1    1    1    2    2    2    2
#>  [7526,]    1    1    1    1    1    2    3    2    4
#>  [7527,]    1    2    1    1    1    3    4    4    5
#>  [7528,]    1    2    3    4    1    5    6    6    7
#>  [7529,]    1    2    1    3    1    4    5    5    6
#>  [7530,]    1    2    3    3    4    5    6    7    7
#>  [7531,]    1    2    3    4    5    6    6    6    7
#>  [7532,]    1    2    3    4    5    6    7    8    7
#>  [7533,]    1    1    2    1    1    3    4    4    4
#>  [7534,]    1    1    2    3    3    4    5    5    5
#>  [7535,]    1    1    1    1    2    3    3    3    3
#>  [7536,]    1    1    2    1    1    3    3    3    3
#>  [7537,]    1    2    1    1    3    4    4    4    4
#>  [7538,]    1    2    3    2    2    4    4    5    4
#>  [7539,]    1    1    2    1    3    4    5    4    4
#>  [7540,]    1    2    3    3    2    4    4    4    5
#>  [7541,]    1    1    2    1    3    4    5    4    5
#>  [7542,]    1    2    1    1    3    4    5    6    5
#>  [7543,]    1    2    3    4    3    5    5    5    6
#>  [7544,]    1    2    2    3    2    4    5    6    7
#>  [7545,]    1    1    1    1    1    2    3    4    4
#>  [7546,]    1    1    1    1    1    2    3    3    3
#>  [7547,]    1    1    2    2    1    3    4    3    5
#>  [7548,]    1    2    2    3    2    4    5    5    5
#>  [7549,]    1    2    2    3    4    5    5    5    6
#>  [7550,]    1    2    3    4    2    5    5    6    7
#>  [7551,]    1    2    3    4    5    6    6    7    8
#>  [7552,]    1    2    3    1    4    5    5    5    6
#>  [7553,]    1    1    1    2    3    4    4    4    5
#>  [7554,]    1    2    3    4    3    5    5    5    6
#>  [7555,]    1    1    2    1    1    3    4    5    5
#>  [7556,]    1    1    1    1    2    3    3    4    3
#>  [7557,]    1    1    2    1    1    3    4    5    4
#>  [7558,]    1    1    1    1    2    3    3    4    5
#>  [7559,]    1    1    2    1    1    3    4    3    3
#>  [7560,]    1    1    1    1    2    3    4    3    3
#>  [7561,]    1    1    1    1    1    2    3    2    3
#>  [7562,]    1    1    2    1    1    3    4    4    5
#>  [7563,]    1    1    1    1    2    3    4    4    4
#>  [7564,]    1    1    1    1    1    2    3    3    3
#>  [7565,]    1    1    1    1    1    2    3    3    3
#>  [7566,]    1    1    2    2    2    3    3    3    3
#>  [7567,]    1    2    1    2    2    3    3    3    3
#>  [7568,]    1    1    1    1    1    2    3    3    2
#>  [7569,]    1    1    1    1    1    2    3    2    2
#>  [7570,]    1    1    1    1    2    3    4    4    4
#>  [7571,]    1    1    2    1    1    3    4    4    4
#>  [7572,]    1    2    3    3    3    4    5    4    4
#>  [7573,]    1    2    3    2    2    4    4    4    5
#>  [7574,]    1    2    2    2    2    3    3    3    4
#>  [7575,]    1    2    1    2    1    3    3    4    4
#>  [7576,]    1    1    1    1    1    2    3    3    3
#>  [7577,]    1    1    1    1    1    2    3    4    5
#>  [7578,]    1    1    2    1    2    3    4    5    5
#>  [7579,]    1    1    2    1    3    4    5    5    6
#>  [7580,]    1    2    1    2    2    3    4    5    3
#>  [7581,]    1    2    3    4    4    5    5    6    5
#>  [7582,]    1    2    3    4    5    6    7    8    9
#>  [7583,]    1    2    2    3    3    4    5    6    7
#>  [7584,]    1    2    3    4    3    5    6    7    6
#>  [7585,]    1    2    3    4    5    6    6    7    8
#>  [7586,]    1    1    1    1    1    2    2    3    3
#>  [7587,]    1    1    1    1    1    2    3    3    2
#>  [7588,]    1    1    1    2    1    3    3    3    3
#>  [7589,]    1    2    3    3    4    5    5    5    6
#>  [7590,]    1    2    2    1    2    3    3    3    4
#>  [7591,]    1    2    3    2    2    4    5    4    4
#>  [7592,]    1    2    3    2    2    4    4    5    4
#>  [7593,]    1    2    2    1    1    3    4    5    5
#>  [7594,]    1    1    1    1    1    2    3    4    3
#>  [7595,]    1    2    2    2    2    3    4    4    4
#>  [7596,]    1    1    1    1    1    2    2    2    2
#>  [7597,]    1    1    2    1    2    3    4    4    4
#>  [7598,]    1    1    1    2    2    3    4    5    4
#>  [7599,]    1    2    2    3    4    5    6    5    7
#>  [7600,]    1    2    2    3    4    5    6    7    8
#>  [7601,]    1    1    2    1    2    3    4    5    6
#>  [7602,]    1    1    2    1    3    4    5    5    5
#>  [7603,]    1    2    3    4    2    5    5    5    5
#>  [7604,]    1    2    3    1    4    5    5    5    5
#>  [7605,]    1    2    2    1    1    3    3    3    3
#>  [7606,]    1    1    1    1    2    3    3    3    3
#>  [7607,]    1    1    2    1    1    3    3    3    3
#>  [7608,]    1    1    1    1    1    2    3    3    2
#>  [7609,]    1    1    1    1    1    2    3    4    4
#>  [7610,]    1    1    2    2    2    3    3    3    3
#>  [7611,]    1    1    1    1    1    2    3    3    3
#>  [7612,]    1    1    1    2    1    3    3    3    4
#>  [7613,]    1    1    1    2    3    4    5    5    5
#>  [7614,]    1    1    2    1    3    4    4    5    5
#>  [7615,]    1    1    2    3    4    5    6    7    8
#>  [7616,]    1    2    3    1    4    5    6    7    7
#>  [7617,]    1    2    3    3    3    4    5    5    6
#>  [7618,]    1    1    1    2    1    3    4    5    6
#>  [7619,]    1    2    3    2    4    5    5    6    7
#>  [7620,]    1    2    2    3    1    4    5    6    6
#>  [7621,]    1    2    1    1    3    4    5    5    5
#>  [7622,]    1    1    1    2    1    3    4    4    5
#>  [7623,]    1    1    1    1    1    2    2    2    2
#>  [7624,]    1    1    1    1    1    2    2    2    2
#>  [7625,]    1    1    1    1    1    2    3    3    3
#>  [7626,]    1    1    2    1    1    3    3    4    4
#>  [7627,]    1    1    2    1    3    4    4    5    5
#>  [7628,]    1    1    1    2    2    3    4    4    4
#>  [7629,]    1    2    1    1    3    4    5    5    5
#>  [7630,]    1    2    3    3    3    4    5    5    6
#>  [7631,]    1    2    2    2    3    4    5    4    5
#>  [7632,]    1    2    2    3    2    4    5    6    4
#>  [7633,]    1    2    3    2    3    4    4    5    4
#>  [7634,]    1    2    3    2    2    4    5    5    6
#>  [7635,]    1    1    2    2    1    3    4    5    5
#>  [7636,]    1    2    1    2    2    3    4    5    3
#>  [7637,]    1    2    2    2    3    4    5    5    5
#>  [7638,]    1    1    2    3    1    4    5    6    5
#>  [7639,]    1    2    2    2    2    3    3    3    4
#>  [7640,]    1    2    2    2    2    3    3    3    3
#>  [7641,]    1    1    1    1    1    2    3    2    2
#>  [7642,]    1    1    1    2    2    3    3    3    3
#>  [7643,]    1    1    1    2    3    4    4    4    4
#>  [7644,]    1    1    1    2    1    3    3    3    4
#>  [7645,]    1    2    3    4    5    6    7    6    7
#>  [7646,]    1    2    1    3    4    5    6    7    8
#>  [7647,]    1    2    3    4    1    5    6    7    8
#>  [7648,]    1    2    2    3    4    5    6    7    8
#>  [7649,]    1    1    2    3    4    5    6    6    7
#>  [7650,]    1    2    2    2    3    4    5    6    7
#>  [7651,]    1    1    1    1    2    3    4    5    6
#>  [7652,]    1    2    3    4    5    6    7    8    9
#>  [7653,]    1    1    2    3    4    5    6    7    8
#>  [7654,]    1    1    2    1    3    4    5    6    7
#>  [7655,]    1    2    3    4    5    6    7    8    9
#>  [7656,]    1    2    2    2    2    3    4    3    5
#>  [7657,]    1    2    3    1    4    5    6    5    7
#>  [7658,]    1    2    1    3    1    4    5    5    4
#>  [7659,]    1    2    3    1    3    4    5    4    6
#>  [7660,]    1    2    3    4    5    6    7    8    9
#>  [7661,]    1    2    3    1    1    4    5    6    7
#>  [7662,]    1    2    1    3    2    4    4    5    6
#>  [7663,]    1    1    2    1    1    3    4    4    4
#>  [7664,]    1    1    1    1    2    3    4    3    3
#>  [7665,]    1    2    3    3    2    4    5    5    5
#>  [7666,]    1    2    1    2    1    3    3    4    3
#>  [7667,]    1    1    1    1    1    2    2    2    2
#>  [7668,]    1    2    1    1    1    3    3    3    3
#>  [7669,]    1    2    2    2    3    4    4    4    4
#>  [7670,]    1    1    2    3    2    4    4    4    4
#>  [7671,]    1    2    2    2    2    3    3    3    3
#>  [7672,]    1    1    1    1    1    2    2    2    2
#>  [7673,]    1    1    1    1    1    2    2    2    2
#>  [7674,]    1    1    1    1    1    2    2    2    2
#>  [7675,]    1    2    1    1    2    3    4    4    3
#>  [7676,]    1    1    1    2    1    3    4    5    4
#>  [7677,]    1    2    2    3    2    4    5    6    7
#>  [7678,]    1    2    3    2    3    4    4    5    6
#>  [7679,]    1    2    1    3    1    4    5    6    7
#>  [7680,]    1    2    3    4    5    6    7    8    9
#>  [7681,]    1    2    2    3    2    4    5    4    6
#>  [7682,]    1    2    1    2    2    3    4    4    4
#>  [7683,]    1    2    1    3    4    5    6    6    7
#>  [7684,]    1    2    2    3    4    5    6    7    7
#>  [7685,]    1    1    2    3    4    5    6    7    6
#>  [7686,]    1    2    3    4    1    5    6    7    8
#>  [7687,]    1    2    3    4    4    5    6    5    5
#>  [7688,]    1    1    2    2    2    3    3    4    4
#>  [7689,]    1    2    2    2    2    3    4    4    4
#>  [7690,]    1    2    3    4    5    6    6    6    6
#>  [7691,]    1    2    2    3    3    4    4    4    4
#>  [7692,]    1    1    1    2    1    3    3    3    3
#>  [7693,]    1    2    3    4    3    5    6    5    5
#>  [7694,]    1    2    2    3    4    5    6    7    5
#>  [7695,]    1    1    2    3    1    4    5    5    6
#>  [7696,]    1    2    3    4    5    6    7    7    7
#>  [7697,]    1    2    3    2    4    5    6    7    8
#>  [7698,]    1    2    3    4    4    5    6    6    6
#>  [7699,]    1    2    3    1    4    5    6    7    8
#>  [7700,]    1    1    2    2    3    4    5    5    5
#>  [7701,]    1    1    2    3    4    5    6    5    5
#>  [7702,]    1    2    3    4    3    5    6    7    8
#>  [7703,]    1    2    3    4    1    5    5    6    7
#>  [7704,]    1    2    3    4    5    6    7    8    9
#>  [7705,]    1    2    3    4    1    5    6    7    8
#>  [7706,]    1    1    2    3    4    5    5    5    6
#>  [7707,]    1    2    3    4    2    5    6    7    6
#>  [7708,]    1    1    2    2    3    4    4    4    5
#>  [7709,]    1    2    2    3    4    5    5    5    6
#>  [7710,]    1    1    2    3    2    4    5    5    5
#>  [7711,]    1    2    2    3    2    4    4    4    5
#>  [7712,]    1    1    2    2    2    3    4    5    5
#>  [7713,]    1    2    2    3    3    4    5    5    6
#>  [7714,]    1    1    1    1    1    2    3    4    5
#>  [7715,]    1    1    1    1    2    3    4    4    5
#>  [7716,]    1    2    1    1    3    4    5    6    5
#>  [7717,]    1    2    3    1    1    4    4    5    6
#>  [7718,]    1    1    1    1    1    2    3    4    5
#>  [7719,]    1    2    3    4    2    5    6    6    7
#>  [7720,]    1    2    3    4    2    5    6    7    7
#>  [7721,]    1    2    2    3    4    5    5    6    5
#>  [7722,]    1    2    3    4    5    6    6    7    8
#>  [7723,]    1    2    3    4    5    6    7    8    7
#>  [7724,]    1    1    1    1    2    3    3    3    4
#>  [7725,]    1    2    3    4    5    6    7    7    8
#>  [7726,]    1    2    2    2    3    4    4    4    5
#>  [7727,]    1    2    2    1    1    3    3    3    4
#>  [7728,]    1    2    3    4    5    6    6    6    7
#>  [7729,]    1    2    3    3    4    5    5    6    5
#>  [7730,]    1    2    3    3    4    5    6    5    6
#>  [7731,]    1    2    3    2    1    4    4    4    4
#>  [7732,]    1    1    2    2    2    3    3    3    3
#>  [7733,]    1    2    2    2    2    3    3    4    3
#>  [7734,]    1    2    2    2    2    3    3    3    3
#>  [7735,]    1    1    2    3    4    5    5    5    5
#>  [7736,]    1    2    3    2    3    4    4    5    5
#>  [7737,]    1    1    1    2    2    3    4    4    4
#>  [7738,]    1    2    1    3    2    4    4    5    5
#>  [7739,]    1    2    2    1    3    4    4    4    4
#>  [7740,]    1    1    1    2    1    3    3    3    3
#>  [7741,]    1    1    2    2    3    4    4    4    4
#>  [7742,]    1    1    2    2    2    3    3    3    4
#>  [7743,]    1    2    2    2    2    3    4    4    4
#>  [7744,]    1    1    1    1    1    2    3    3    3
#>  [7745,]    1    1    1    1    1    2    3    4    3
#>  [7746,]    1    2    3    2    2    4    5    5    6
#>  [7747,]    1    2    2    3    3    4    5    6    6
#>  [7748,]    1    2    3    1    4    5    6    7    8
#>  [7749,]    1    1    2    1    2    3    4    5    5
#>  [7750,]    1    2    2    2    2    3    4    5    3
#>  [7751,]    1    1    1    2    2    3    4    5    5
#>  [7752,]    1    2    1    1    3    4    5    4    5
#>  [7753,]    1    1    2    2    2    3    3    3    3
#>  [7754,]    1    2    2    3    3    4    4    4    4
#>  [7755,]    1    2    3    4    1    5    6    7    8
#>  [7756,]    1    2    3    4    1    5    6    5    5
#>  [7757,]    1    1    2    1    3    4    4    4    4
#>  [7758,]    1    2    2    2    3    4    5    4    4
#>  [7759,]    1    2    1    2    2    3    4    4    4
#>  [7760,]    1    1    1    1    1    2    2    3    3
#>  [7761,]    1    1    1    1    1    2    3    3    3
#>  [7762,]    1    1    1    1    1    2    3    3    3
#>  [7763,]    1    1    1    1    1    2    2    3    2
#>  [7764,]    1    2    2    3    2    4    4    5    4
#>  [7765,]    1    2    2    2    2    3    3    4    5
#>  [7766,]    1    2    1    3    2    4    4    4    4
#>  [7767,]    1    2    1    3    1    4    4    4    4
#>  [7768,]    1    1    1    1    1    2    2    2    2
#>  [7769,]    1    1    1    1    1    2    2    2    2
#>  [7770,]    1    1    1    1    1    2    2    3    3
#>  [7771,]    1    1    1    1    1    2    2    3    2
#>  [7772,]    1    1    1    1    1    2    3    4    2
#>  [7773,]    1    1    2    1    2    3    4    3    4
#>  [7774,]    1    2    3    3    4    5    6    7    6
#>  [7775,]    1    1    2    3    1    4    5    5    4
#>  [7776,]    1    2    1    2    2    3    4    3    3
#>  [7777,]    1    1    2    3    2    4    5    5    5
#>  [7778,]    1    1    1    1    1    2    2    2    2
#>  [7779,]    1    1    1    1    1    2    2    2    2
#>  [7780,]    1    1    1    1    1    2    3    3    3
#>  [7781,]    1    1    1    1    1    2    2    2    2
#>  [7782,]    1    1    1    2    1    3    3    3    3
#>  [7783,]    1    1    2    1    1    3    3    3    3
#>  [7784,]    1    2    2    2    2    3    3    3    3
#>  [7785,]    1    1    1    1    1    2    2    2    2
#>  [7786,]    1    1    2    1    2    3    3    3    3
#>  [7787,]    1    2    2    2    2    3    3    3    3
#>  [7788,]    1    1    1    1    1    2    3    2    3
#>  [7789,]    1    1    1    1    2    3    3    3    3
#>  [7790,]    1    1    1    2    3    4    4    5    4
#>  [7791,]    1    1    1    1    1    2    3    3    3
#>  [7792,]    1    1    1    2    2    3    3    3    4
#>  [7793,]    1    1    2    3    2    4    4    4    5
#>  [7794,]    1    2    3    1    2    4    5    6    6
#>  [7795,]    1    1    1    1    1    2    2    2    2
#>  [7796,]    1    1    1    1    1    2    2    2    2
#>  [7797,]    1    1    1    1    1    2    2    2    2
#>  [7798,]    1    1    1    1    1    2    2    2    2
#>  [7799,]    1    2    3    2    2    4    4    4    5
#>  [7800,]    1    2    3    2    3    4    4    4    4
#>  [7801,]    1    2    2    2    2    3    3    3    3
#>  [7802,]    1    1    2    2    2    3    4    4    5
#>  [7803,]    1    2    3    4    3    5    5    6    6
#>  [7804,]    1    2    2    2    2    3    4    5    6
#>  [7805,]    1    2    1    1    1    3    4    4    5
#>  [7806,]    1    1    1    1    1    2    3    2    4
#>  [7807,]    1    1    1    2    3    4    5    6    7
#>  [7808,]    1    2    2    3    4    5    6    6    7
#>  [7809,]    1    2    2    3    4    5    5    6    7
#>  [7810,]    1    1    2    3    1    4    5    6    7
#>  [7811,]    1    2    1    2    1    3    4    5    5
#>  [7812,]    1    2    3    3    1    4    5    5    6
#>  [7813,]    1    1    1    2    1    3    4    3    3
#>  [7814,]    1    2    1    2    3    4    5    5    6
#>  [7815,]    1    1    2    1    1    3    3    3    3
#>  [7816,]    1    1    1    1    1    2    2    2    2
#>  [7817,]    1    1    1    1    1    2    2    2    3
#>  [7818,]    1    1    1    2    1    3    3    3    4
#>  [7819,]    1    2    2    2    3    4    5    4    4
#>  [7820,]    1    2    2    3    4    5    6    5    5
#>  [7821,]    1    2    3    4    3    5    5    5    5
#>  [7822,]    1    2    2    1    3    4    4    4    4
#>  [7823,]    1    2    2    1    1    3    3    3    4
#>  [7824,]    1    2    1    1    1    3    3    4    4
#>  [7825,]    1    2    3    4    5    6    7    7    7
#>  [7826,]    1    2    2    1    2    3    4    4    3
#>  [7827,]    1    2    2    2    2    3    4    3    3
#>  [7828,]    1    2    2    3    4    5    6    6    7
#>  [7829,]    1    1    1    1    1    2    3    3    3
#>  [7830,]    1    1    1    1    1    2    3    4    5
#>  [7831,]    1    1    1    2    1    3    4    5    6
#>  [7832,]    1    2    3    4    5    6    7    6    8
#>  [7833,]    1    1    1    1    2    3    4    3    5
#>  [7834,]    1    2    3    4    5    6    7    8    9
#>  [7835,]    1    2    2    3    2    4    5    4    5
#>  [7836,]    1    1    1    1    2    3    3    4    3
#>  [7837,]    1    2    1    3    4    5    6    7    7
#>  [7838,]    1    2    2    2    3    4    5    5    5
#>  [7839,]    1    2    3    3    4    5    6    7    7
#>  [7840,]    1    2    3    4    5    6    7    7    8
#>  [7841,]    1    2    3    4    5    6    7    8    7
#>  [7842,]    1    2    3    4    5    6    7    6    8
#>  [7843,]    1    2    3    4    5    6    7    8    9
#>  [7844,]    1    1    2    2    3    4    5    6    7
#>  [7845,]    1    2    3    4    5    6    7    8    9
#>  [7846,]    1    2    3    4    2    5    6    7    8
#>  [7847,]    1    1    2    3    4    5    6    6    7
#>  [7848,]    1    2    3    4    5    6    7    8    9
#>  [7849,]    1    2    3    3    1    4    5    6    7
#>  [7850,]    1    2    2    2    3    4    5    6    7
#>  [7851,]    1    1    2    3    4    5    6    7    8
#>  [7852,]    1    2    3    4    5    6    7    7    8
#>  [7853,]    1    2    3    4    4    5    6    6    7
#>  [7854,]    1    2    3    4    2    5    5    6    7
#>  [7855,]    1    2    3    4    5    6    7    8    7
#>  [7856,]    1    2    3    2    4    5    6    6    6
#>  [7857,]    1    1    2    3    4    5    6    7    8
#>  [7858,]    1    2    3    3    4    5    6    7    6
#>  [7859,]    1    2    3    4    1    5    5    5    6
#>  [7860,]    1    2    3    4    5    6    7    8    9
#>  [7861,]    1    2    3    4    3    5    6    6    7
#>  [7862,]    1    2    3    4    3    5    6    6    6
#>  [7863,]    1    2    3    1    3    4    5    6    5
#>  [7864,]    1    2    2    2    3    4    5    5    5
#>  [7865,]    1    2    3    4    2    5    6    6    6
#>  [7866,]    1    2    1    2    2    3    4    4    4
#>  [7867,]    1    2    1    1    2    3    4    4    4
#>  [7868,]    1    1    2    2    2    3    4    4    4
#>  [7869,]    1    2    2    1    1    3    3    3    3
#>  [7870,]    1    1    1    1    1    2    2    2    2
#>  [7871,]    1    1    1    1    2    3    3    3    3
#>  [7872,]    1    2    1    1    2    3    4    3    3
#>  [7873,]    1    2    2    1    3    3    4    4    5
#>  [7874,]    1    2    1    3    1    4    5    6    7
#>  [7875,]    1    2    3    2    2    4    5    1    6
#>  [7876,]    1    2    1    1    1    3    4    5    6
#>  [7877,]    1    2    3    3    3    4    5    6    7
#>  [7878,]    1    2    3    4    2    5    6    5    7
#>  [7879,]    1    2    3    4    5    6    7    8    7
#>  [7880,]    1    2    3    2    4    5    6    7    8
#>  [7881,]    1    2    3    4    5    6    7    7    7
#>  [7882,]    1    2    1    3    4    5    6    6    6
#>  [7883,]    1    2    3    3    3    4    5    6    5
#>  [7884,]    1    2    2    1    2    3    4    4    5
#>  [7885,]    1    2    3    1    2    4    5    5    5
#>  [7886,]    1    2    3    1    3    4    5    5    6
#>  [7887,]    1    2    3    3    1    4    5    5    5
#>  [7888,]    1    2    2    3    4    5    5    6    7
#>  [7889,]    1    2    3    2    2    4    5    6    7
#>  [7890,]    1    1    2    3    4    5    5    5    6
#>  [7891,]    1    2    3    3    3    4    5    4    5
#>  [7892,]    1    1    1    2    1    3    4    5    4
#>  [7893,]    1    2    2    3    4    5    6    7    7
#>  [7894,]    1    2    3    3    4    5    6    7    5
#>  [7895,]    1    2    3    1    4    5    6    7    7
#>  [7896,]    1    1    2    3    4    5    6    7    8
#>  [7897,]    1    2    3    4    4    5    6    7    8
#>  [7898,]    1    2    3    3    3    4    5    5    5
#>  [7899,]    1    2    3    2    3    4    4    4    5
#>  [7900,]    1    2    2    3    4    5    6    7    8
#>  [7901,]    1    2    3    3    4    5    6    7    8
#>  [7902,]    1    2    3    4    5    6    7    7    6
#>  [7903,]    1    2    2    3    4    5    6    5    7
#>  [7904,]    1    2    3    1    2    4    5    4    6
#>  [7905,]    1    2    3    4    5    6    7    6    8
#>  [7906,]    1    1    2    2    2    3    4    5    6
#>  [7907,]    1    2    2    2    1    3    3    3    3
#>  [7908,]    1    1    1    1    1    2    3    2    3
#>  [7909,]    1    1    1    1    1    2    3    4    3
#>  [7910,]    1    1    1    1    1    2    2    2    3
#>  [7911,]    1    2    3    2    4    5    5    5    5
#>  [7912,]    1    2    1    1    3    4    5    4    4
#>  [7913,]    1    2    3    4    3    5    6    6    7
#>  [7914,]    1    2    3    1    2    4    5    4    5
#>  [7915,]    1    2    3    2    1    4    5    6    7
#>  [7916,]    1    2    1    1    3    4    5    6    7
#>  [7917,]    1    2    1    3    3    4    5    6    5
#>  [7918,]    1    1    2    1    1    3    4    5    6
#>  [7919,]    1    2    3    2    4    5    6    5    7
#>  [7920,]    1    1    2    3    4    5    6    7    8
#>  [7921,]    1    1    2    1    3    4    4    4    5
#>  [7922,]    1    1    1    2    3    4    5    6    5
#>  [7923,]    1    2    3    4    5    6    7    8    8
#>  [7924,]    1    1    2    3    4    5    5    6    5
#>  [7925,]    1    2    3    2    4    5    6    7    5
#>  [7926,]    1    1    2    3    2    4    5    5    5
#>  [7927,]    1    2    3    4    1    5    5    5    5
#>  [7928,]    1    2    2    3    4    5    5    6    5
#>  [7929,]    1    2    1    1    1    3    3    4    4
#>  [7930,]    1    1    1    1    1    2    2    2    2
#>  [7931,]    1    1    1    1    1    2    3    3    2
#>  [7932,]    1    1    1    2    1    3    4    5    3
#>  [7933,]    1    2    2    3    3    4    5    5    5
#>  [7934,]    1    2    1    3    1    4    5    5    5
#>  [7935,]    1    1    2    3    4    5    6    6    7
#>  [7936,]    1    1    2    1    3    4    5    4    6
#>  [7937,]    1    2    3    3    1    4    4    4    4
#>  [7938,]    1    2    1    1    1    3    3    3    3
#>  [7939,]    1    1    1    2    3    4    5    5    5
#>  [7940,]    1    1    1    1    1    2    3    3    3
#>  [7941,]    1    2    2    2    3    4    4    4    5
#>  [7942,]    1    2    1    3    4    5    6    7    8
#>  [7943,]    1    2    3    4    3    5    6    7    8
#>  [7944,]    1    2    3    2    4    5    6    7    7
#>  [7945,]    1    2    3    4    3    5    6    6    6
#>  [7946,]    1    2    1    3    2    4    5    5    5
#>  [7947,]    1    2    3    4    3    5    6    7    8
#>  [7948,]    1    1    1    2    3    4    5    6    5
#>  [7949,]    1    2    3    4    4    5    6    7    6
#>  [7950,]    1    1    2    2    3    4    4    5    6
#>  [7951,]    1    1    2    3    2    4    5    6    5
#>  [7952,]    1    2    3    2    2    4    5    6    7
#>  [7953,]    1    2    3    4    5    6    7    8    7
#>  [7954,]    1    2    3    4    5    6    7    6    8
#>  [7955,]    1    2    3    3    4    5    6    6    7
#>  [7956,]    1    2    3    4    3    5    5    5    5
#>  [7957,]    1    2    3    4    4    5    6    7    8
#>  [7958,]    1    2    3    4    2    5    5    6    7
#>  [7959,]    1    2    2    3    3    4    5    5    6
#>  [7960,]    1    2    3    3    4    5    6    7    5
#>  [7961,]    1    2    2    3    3    4    5    5    5
#>  [7962,]    1    2    1    2    3    4    5    6    5
#>  [7963,]    1    2    1    2    3    4    5    6    5
#>  [7964,]    1    2    2    2    1    3    4    5    5
#>  [7965,]    1    1    1    1    1    2    3    3    2
#>  [7966,]    1    1    1    1    1    2    2    2    2
#>  [7967,]    1    1    1    1    1    2    3    2    2
#>  [7968,]    1    1    1    1    2    3    3    3    3
#>  [7969,]    1    1    1    1    2    3    3    3    3
#>  [7970,]    1    2    1    2    2    3    3    3    3
#>  [7971,]    1    1    1    1    1    2    3    2    3
#>  [7972,]    1    1    1    1    2    3    4    5    6
#>  [7973,]    1    1    1    1    1    2    3    2    3
#>  [7974,]    1    1    1    1    1    2    3    2    2
#>  [7975,]    1    1    1    1    1    2    2    2    2
#>  [7976,]    1    1    2    2    3    4    4    4    4
#>  [7977,]    1    1    2    2    2    3    4    4    5
#>  [7978,]    1    2    2    2    2    3    4    4    5
#>  [7979,]    1    2    1    3    1    4    4    4    4
#>  [7980,]    1    2    3    3    2    4    4    4    4
#>  [7981,]    1    2    1    1    1    3    3    3    4
#>  [7982,]    1    1    1    1    1    2    2    2    2
#>  [7983,]    1    2    2    1    1    3    3    3    3
#>  [7984,]    1    1    2    3    3    4    5    4    5
#>  [7985,]    1    2    3    4    2    5    6    6    6
#>  [7986,]    1    2    3    3    3    4    5    6    5
#>  [7987,]    1    1    1    2    3    4    4    5    5
#>  [7988,]    1    1    2    1    3    4    4    4    4
#>  [7989,]    1    2    2    3    2    4    5    6    7
#>  [7990,]    1    2    3    1    1    4    4    5    5
#>  [7991,]    1    2    2    2    2    3    4    3    3
#>  [7992,]    1    1    2    2    3    4    4    4    5
#>  [7993,]    1    2    3    1    3    4    4    5    6
#>  [7994,]    1    1    2    2    2    3    3    3    3
#>  [7995,]    1    2    1    2    2    3    4    3    4
#>  [7996,]    1    2    2    2    2    3    4    5    6
#>  [7997,]    1    1    1    1    1    2    3    4    4
#>  [7998,]    1    1    2    1    3    4    5    6    7
#>  [7999,]    1    1    1    1    2    3    4    3    5
#>  [8000,]    1    2    2    2    3    4    5    5    6
#>  [8001,]    1    2    3    4    5    6    7    7    7
#>  [8002,]    1    2    3    4    5    6    7    7    8
#>  [8003,]    1    2    3    4    5    6    7    6    8
#>  [8004,]    1    2    2    2    3    4    5    6    7
#>  [8005,]    1    1    2    3    4    5    6    7    8
#>  [8006,]    1    1    2    3    4    5    6    6    7
#>  [8007,]    1    1    2    3    2    4    5    6    7
#>  [8008,]    1    2    1    3    4    5    6    7    7
#>  [8009,]    1    2    3    4    2    5    6    6    6
#>  [8010,]    1    2    2    2    2    3    4    4    5
#>  [8011,]    1    1    2    1    3    4    5    4    5
#>  [8012,]    1    2    1    2    3    4    4    4    5
#>  [8013,]    1    1    2    2    2    3    4    5    6
#>  [8014,]    1    2    1    1    1    3    4    3    3
#>  [8015,]    1    2    2    2    2    3    4    5    6
#>  [8016,]    1    2    3    1    4    5    6    7    8
#>  [8017,]    1    2    3    4    4    5    6    7    7
#>  [8018,]    1    2    3    4    5    6    7    7    7
#>  [8019,]    1    2    1    3    4    5    5    5    6
#>  [8020,]    1    2    3    4    5    6    7    7    8
#>  [8021,]    1    2    1    3    3    4    5    6    7
#>  [8022,]    1    2    2    3    4    1    5    6    5
#>  [8023,]    1    2    3    4    5    6    6    6    7
#>  [8024,]    1    2    1    1    3    4    4    5    6
#>  [8025,]    1    1    2    1    1    3    3    4    5
#>  [8026,]    1    2    3    4    5    6    7    7    7
#>  [8027,]    1    2    3    4    5    6    7    6    6
#>  [8028,]    1    2    3    3    4    5    6    7    7
#>  [8029,]    1    2    3    3    2    4    5    5    6
#>  [8030,]    1    2    2    3    4    5    6    6    6
#>  [8031,]    1    2    3    4    1    5    6    7    6
#>  [8032,]    1    1    2    3    4    5    6    7    6
#>  [8033,]    1    1    2    3    2    4    5    6    5
#>  [8034,]    1    2    3    4    4    5    5    6    7
#>  [8035,]    1    2    3    4    5    6    7    8    9
#>  [8036,]    1    2    2    3    2    4    4    5    4
#>  [8037,]    1    1    2    1    1    3    4    3    4
#>  [8038,]    1    2    3    2    4    5    6    7    7
#>  [8039,]    1    2    1    3    1    4    5    4    4
#>  [8040,]    1    2    3    4    5    6    7    8    9
#>  [8041,]    1    1    1    2    1    3    3    3    4
#>  [8042,]    1    2    3    2    4    5    6    7    7
#>  [8043,]    1    2    1    3    4    5    6    7    8
#>  [8044,]    1    2    1    1    1    3    4    5    6
#>  [8045,]    1    2    3    4    4    5    6    6    7
#>  [8046,]    1    2    3    4    5    6    6    6    6
#>  [8047,]    1    1    2    2    1    3    4    3    5
#>  [8048,]    1    1    1    2    1    3    4    4    5
#>  [8049,]    1    1    2    1    1    3    4    3    5
#>  [8050,]    1    1    2    2    1    3    4    5    5
#>  [8051,]    1    1    1    1    2    3    4    4    4
#>  [8052,]    1    1    1    2    1    3    4    4    4
#>  [8053,]    1    2    2    2    2    3    4    3    5
#>  [8054,]    1    1    1    1    1    2    2    2    3
#>  [8055,]    1    1    1    2    2    3    3    4    5
#>  [8056,]    1    1    2    3    2    4    4    5    6
#>  [8057,]    1    2    3    1    1    4    4    5    5
#>  [8058,]    1    2    3    3    3    4    5    5    5
#>  [8059,]    1    2    3    1    3    4    5    6    7
#>  [8060,]    1    2    3    4    5    6    7    8    6
#>  [8061,]    1    2    3    4    2    5    6    7    8
#>  [8062,]    1    1    2    2    2    3    4    5    6
#>  [8063,]    1    2    1    3    4    5    6    7    8
#>  [8064,]    1    2    1    3    2    4    5    6    7
#>  [8065,]    1    2    3    4    5    6    7    8    9
#>  [8066,]    1    2    2    3    4    5    5    6    7
#>  [8067,]    1    2    3    3    2    4    5    4    6
#>  [8068,]    1    2    2    3    4    5    5    6    7
#>  [8069,]    1    2    1    2    3    4    5    6    7
#>  [8070,]    1    2    3    1    4    5    6    6    6
#>  [8071,]    1    1    2    1    1    3    3    4    3
#>  [8072,]    1    1    1    2    1    3    4    4    4
#>  [8073,]    1    1    2    1    1    3    4    4    4
#>  [8074,]    1    2    1    1    1    3    4    5    4
#>  [8075,]    1    1    1    2    1    3    3    3    3
#>  [8076,]    1    2    2    1    2    3    3    3    3
#>  [8077,]    1    2    1    2    2    3    3    4    3
#>  [8078,]    1    1    2    3    4    5    6    6    6
#>  [8079,]    1    2    3    3    4    5    6    6    7
#>  [8080,]    1    1    2    3    3    4    5    6    6
#>  [8081,]    1    1    1    2    1    3    4    5    6
#>  [8082,]    1    1    2    2    2    3    4    3    4
#>  [8083,]    1    2    2    1    2    3    3    3    3
#>  [8084,]    1    2    2    1    1    3    4    5    4
#>  [8085,]    1    1    1    1    1    2    2    2    3
#>  [8086,]    1    1    2    2    1    3    4    4    4
#>  [8087,]    1    1    1    1    1    2    3    3    3
#>  [8088,]    1    2    1    1    3    4    5    6    5
#>  [8089,]    1    1    2    3    2    4    5    5    5
#>  [8090,]    1    2    3    3    3    4    5    6    6
#>  [8091,]    1    2    3    4    5    6    7    6    8
#>  [8092,]    1    2    3    1    1    4    5    6    5
#>  [8093,]    1    2    3    3    4    5    6    7    8
#>  [8094,]    1    2    2    2    3    4    5    6    6
#>  [8095,]    1    2    1    3    4    5    6    6    7
#>  [8096,]    1    2    3    2    3    4    5    5    4
#>  [8097,]    1    2    2    2    3    4    5    6    6
#>  [8098,]    1    2    3    4    5    6    7    6    6
#>  [8099,]    1    2    3    4    5    6    7    7    8
#>  [8100,]    1    2    3    4    5    6    7    7    8
#>  [8101,]    1    1    2    3    4    5    6    7    8
#>  [8102,]    1    1    2    2    2    3    4    5    3
#>  [8103,]    1    1    2    3    2    4    5    4    6
#>  [8104,]    1    2    3    4    5    6    7    8    9
#>  [8105,]    1    2    3    4    5    6    7    8    9
#>  [8106,]    1    2    3    4    1    5    6    7    7
#>  [8107,]    1    2    3    4    5    6    7    8    7
#>  [8108,]    1    1    2    1    3    4    5    6    5
#>  [8109,]    1    2    1    3    1    4    5    5    6
#>  [8110,]    1    1    1    1    2    3    3    4    4
#>  [8111,]    1    1    1    2    2    3    3    4    4
#>  [8112,]    1    2    3    4    3    5    5    5    5
#>  [8113,]    1    2    2    2    3    4    4    4    4
#>  [8114,]    1    2    1    3    3    4    4    4    4
#>  [8115,]    1    2    3    1    1    4    5    6    4
#>  [8116,]    1    2    2    2    2    3    4    3    3
#>  [8117,]    1    2    3    3    2    4    5    4    4
#>  [8118,]    1    2    2    2    2    3    4    5    4
#>  [8119,]    1    2    3    4    2    5    6    6    6
#>  [8120,]    1    2    3    3    3    4    4    4    5
#>  [8121,]    1    1    2    2    1    3    3    4    3
#>  [8122,]    1    1    2    3    4    5    5    5    5
#>  [8123,]    1    1    2    3    1    4    5    6    6
#>  [8124,]    1    2    3    4    5    6    7    8    8
#>  [8125,]    1    2    3    1    4    5    6    7    8
#>  [8126,]    1    2    3    1    4    5    5    5    6
#>  [8127,]    1    2    3    4    2    5    6    6    6
#>  [8128,]    1    2    2    3    1    4    5    5    6
#>  [8129,]    1    1    1    2    3    4    4    4    4
#>  [8130,]    1    2    3    4    3    5    6    6    6
#>  [8131,]    1    2    1    3    4    5    6    7    8
#>  [8132,]    1    2    3    4    4    5    6    7    7
#>  [8133,]    1    2    3    4    2    5    6    5    6
#>  [8134,]    1    2    2    3    3    4    5    4    6
#>  [8135,]    1    2    3    2    2    4    4    5    6
#>  [8136,]    1    1    1    1    1    2    2    3    4
#>  [8137,]    1    1    1    1    1    2    3    2    3
#>  [8138,]    1    1    1    1    1    2    2    3    3
#>  [8139,]    1    1    1    2    3    4    5    5    4
#>  [8140,]    1    2    3    2    2    4    5    6    5
#>  [8141,]    1    2    3    4    5    6    7    8    9
#>  [8142,]    1    2    3    4    5    6    7    7    8
#>  [8143,]    1    1    2    2    3    4    4    4    5
#>  [8144,]    1    2    1    2    2    3    4    5    6
#>  [8145,]    1    1    2    3    4    5    6    7    6
#>  [8146,]    1    2    3    4    1    5    6    7    8
#>  [8147,]    1    2    3    4    1    5    6    7    8
#>  [8148,]    1    2    3    3    4    5    6    7    7
#>  [8149,]    1    2    3    4    5    6    7    8    9
#>  [8150,]    1    2    3    1    4    5    6    7    8
#>  [8151,]    1    2    3    4    5    6    7    8    9
#>  [8152,]    1    2    3    4    5    6    7    7    8
#>  [8153,]    1    2    3    4    5    6    7    6    8
#>  [8154,]    1    1    2    1    3    4    5    6    4
#>  [8155,]    1    2    3    3    3    4    5    6    7
#>  [8156,]    1    2    2    2    2    3    4    5    5
#>  [8157,]    1    2    1    3    2    4    4    5    6
#>  [8158,]    1    2    3    3    4    5    6    7    7
#>  [8159,]    1    1    1    2    3    4    5    6    7
#>  [8160,]    1    1    1    2    3    4    5    5    5
#>  [8161,]    1    2    3    4    5    6    7    8    9
#>  [8162,]    1    2    1    3    1    4    5    6    7
#>  [8163,]    1    2    1    1    1    3    4    5    6
#>  [8164,]    1    2    1    3    3    4    5    5    6
#>  [8165,]    1    2    2    1    3    4    5    6    7
#>  [8166,]    1    1    2    3    1    4    5    6    7
#>  [8167,]    1    2    3    4    5    6    6    6    6
#>  [8168,]    1    1    2    1    1    3    3    3    3
#>  [8169,]    1    1    1    1    1    2    2    2    2
#>  [8170,]    1    1    1    1    1    2    3    3    2
#>  [8171,]    1    2    2    2    2    3    4    4    4
#>  [8172,]    1    2    2    3    2    4    5    4    4
#>  [8173,]    1    2    1    3    2    4    5    6    7
#>  [8174,]    1    1    2    1    1    3    4    5    3
#>  [8175,]    1    2    2    2    3    4    5    6    5
#>  [8176,]    1    2    1    3    3    4    5    6    7
#>  [8177,]    1    1    2    3    4    5    6    7    8
#>  [8178,]    1    1    2    1    3    4    5    6    6
#>  [8179,]    1    1    2    2    1    3    4    4    4
#>  [8180,]    1    2    3    4    3    5    5    6    7
#>  [8181,]    1    1    2    3    4    5    6    7    8
#>  [8182,]    1    2    3    4    5    6    7    8    8
#>  [8183,]    1    2    3    4    5    6    7    8    9
#>  [8184,]    1    2    3    3    4    5    6    7    8
#>  [8185,]    1    2    1    3    4    5    6    6    7
#>  [8186,]    1    2    3    4    2    5    6    7    6
#>  [8187,]    1    1    1    2    1    3    4    5    5
#>  [8188,]    1    2    3    4    5    6    7    8    9
#>  [8189,]    1    2    3    4    3    5    6    7    8
#>  [8190,]    1    2    3    1    1    4    5    6    7
#>  [8191,]    1    2    2    1    3    4    5    6    5
#>  [8192,]    1    1    1    2    3    4    4    5    4
#>  [8193,]    1    2    2    2    3    4    4    4    4
#>  [8194,]    1    1    1    2    1    3    3    3    3
#>  [8195,]    1    2    2    2    2    3    3    3    3
#>  [8196,]    1    1    1    1    1    2    2    2    2
#>  [8197,]    1    1    1    1    1    2    2    2    2
#>  [8198,]    1    1    1    1    1    2    3    4    3
#>  [8199,]    1    1    2    2    3    4    4    5    5
#>  [8200,]    1    2    1    3    1    4    5    5    5
#>  [8201,]    1    2    1    1    1    3    4    5    6
#>  [8202,]    1    1    1    1    1    2    3    4    4
#>  [8203,]    1    2    1    1    1    3    4    4    5
#>  [8204,]    1    1    2    3    4    5    5    6    6
#>  [8205,]    1    2    3    4    5    6    7    7    7
#>  [8206,]    1    2    1    1    1    3    3    3    3
#>  [8207,]    1    2    1    3    2    4    4    5    4
#>  [8208,]    1    2    1    3    3    4    5    5    4
#>  [8209,]    1    2    3    2    4    5    6    5    5
#>  [8210,]    1    2    1    1    3    4    5    6    7
#>  [8211,]    1    2    3    1    1    4    5    6    7
#>  [8212,]    1    2    3    4    3    5    6    7    7
#>  [8213,]    1    2    3    4    5    6    7    6    8
#>  [8214,]    1    2    3    4    3    5    6    7    8
#>  [8215,]    1    2    1    3    2    4    5    6    7
#>  [8216,]    1    1    2    3    4    5    6    6    7
#>  [8217,]    1    2    3    4    4    5    6    7    8
#>  [8218,]    1    2    2    3    2    4    5    4    6
#>  [8219,]    1    2    1    1    1    3    4    4    5
#>  [8220,]    1    1    1    1    1    2    3    4    4
#>  [8221,]    1    1    1    1    2    3    4    5    6
#>  [8222,]    1    2    3    4    4    5    6    5    5
#>  [8223,]    1    2    2    2    3    4    5    5    6
#>  [8224,]    1    1    2    2    2    3    3    4    5
#>  [8225,]    1    1    1    1    2    3    4    3    4
#>  [8226,]    1    1    1    1    1    2    3    3    4
#>  [8227,]    1    2    2    1    1    3    4    5    6
#>  [8228,]    1    2    1    3    1    4    4    4    4
#>  [8229,]    1    2    3    3    3    4    5    5    5
#>  [8230,]    1    2    2    3    4    5    6    6    6
#>  [8231,]    1    1    1    2    3    4    5    6    7
#>  [8232,]    1    1    2    2    2    3    4    5    6
#>  [8233,]    1    1    1    2    1    3    4    5    6
#>  [8234,]    1    1    1    1    1    2    3    4    5
#>  [8235,]    1    1    2    1    1    3    4    4    5
#>  [8236,]    1    1    2    2    1    3    4    5    4
#>  [8237,]    1    2    1    2    3    4    5    4    5
#>  [8238,]    1    1    1    2    3    4    5    6    7
#>  [8239,]    1    2    1    1    1    3    4    5    6
#>  [8240,]    1    1    1    1    1    2    2    2    2
#>  [8241,]    1    1    1    1    1    2    2    2    2
#>  [8242,]    1    1    1    1    1    2    2    2    2
#>  [8243,]    1    1    1    1    1    2    2    3    2
#>  [8244,]    1    2    2    2    2    3    4    5    4
#>  [8245,]    1    2    2    3    4    5    6    6    6
#>  [8246,]    1    2    3    2    4    5    6    6    5
#>  [8247,]    1    2    3    4    5    6    7    8    7
#>  [8248,]    1    2    1    3    2    4    5    6    5
#>  [8249,]    1    2    3    4    1    5    6    7    5
#>  [8250,]    1    2    1    3    4    5    6    7    6
#>  [8251,]    1    2    3    1    4    5    6    7    7
#>  [8252,]    1    2    3    4    2    5    6    7    7
#>  [8253,]    1    2    1    3    4    5    6    6    7
#>  [8254,]    1    2    3    4    5    6    7    8    8
#>  [8255,]    1    2    3    1    1    4    5    6    6
#>  [8256,]    1    2    3    4    5    6    7    7    7
#>  [8257,]    1    2    1    3    4    5    6    7    8
#>  [8258,]    1    1    2    3    4    5    6    7    8
#>  [8259,]    1    2    3    4    5    6    7    7    7
#>  [8260,]    1    2    3    2    4    5    6    7    8
#>  [8261,]    1    1    1    2    1    3    4    3    4
#>  [8262,]    1    1    2    2    2    3    3    4    5
#>  [8263,]    1    1    2    3    1    4    5    6    7
#>  [8264,]    1    2    3    4    5    6    7    6    7
#>  [8265,]    1    2    3    4    3    5    5    6    7
#>  [8266,]    1    1    1    2    3    4    4    4    5
#>  [8267,]    1    2    3    1    1    4    5    5    5
#>  [8268,]    1    2    1    2    1    3    4    4    4
#>  [8269,]    1    2    2    2    2    3    4    4    5
#>  [8270,]    1    2    3    4    5    6    7    6    8
#>  [8271,]    1    2    3    4    4    5    5    6    7
#>  [8272,]    1    2    2    2    2    3    3    4    5
#>  [8273,]    1    2    1    3    4    5    6    7    8
#>  [8274,]    1    2    3    4    5    6    7    6    6
#>  [8275,]    1    2    3    2    4    5    5    6    5
#>  [8276,]    1    2    3    1    1    4    5    5    5
#>  [8277,]    1    2    3    4    4    5    6    6    6
#>  [8278,]    1    2    3    4    5    6    7    7    7
#>  [8279,]    1    2    3    4    3    5    6    6    6
#>  [8280,]    1    1    1    1    2    3    4    4    5
#>  [8281,]    1    1    2    1    2    3    3    3    4
#>  [8282,]    1    2    2    3    2    4    5    4    5
#>  [8283,]    1    2    2    1    2    3    3    3    3
#>  [8284,]    1    1    2    1    1    3    4    3    3
#>  [8285,]    1    2    1    2    1    3    3    4    4
#>  [8286,]    1    1    1    1    2    3    4    5    3
#>  [8287,]    1    2    2    2    2    3    3    3    3
#>  [8288,]    1    2    2    2    1    3    3    3    3
#>  [8289,]    1    2    2    2    2    3    3    3    4
#>  [8290,]    1    2    3    3    3    4    5    6    7
#>  [8291,]    1    2    3    4    5    6    7    8    7
#>  [8292,]    1    2    1    1    1    3    4    4    4
#>  [8293,]    1    2    3    4    5    6    7    8    7
#>  [8294,]    1    1    2    3    3    4    5    6    7
#>  [8295,]    1    2    3    4    2    5    6    7    7
#>  [8296,]    1    1    2    3    4    5    6    6    6
#>  [8297,]    1    1    1    2    1    3    4    3    3
#>  [8298,]    1    1    2    3    2    4    5    5    5
#>  [8299,]    1    1    2    3    4    5    6    7    6
#>  [8300,]    1    1    1    2    2    3    4    5    5
#>  [8301,]    1    1    2    1    1    3    4    5    4
#>  [8302,]    1    1    1    1    1    2    3    4    4
#>  [8303,]    1    1    2    1    1    3    4    4    4
#>  [8304,]    1    2    1    1    1    3    4    5    5
#>  [8305,]    1    1    1    2    1    3    4    4    4
#>  [8306,]    1    1    1    2    1    3    4    3    4
#>  [8307,]    1    1    2    2    1    3    3    3    3
#>  [8308,]    1    1    1    1    1    2    2    2    2
#>  [8309,]    1    1    1    1    2    3    4    4    3
#>  [8310,]    1    2    2    3    2    4    4    4    4
#>  [8311,]    1    1    1    1    1    2    3    3    3
#>  [8312,]    1    1    1    1    1    2    3    4    5
#>  [8313,]    1    1    1    1    1    2    3    4    5
#>  [8314,]    1    1    1    1    1    2    3    3    3
#>  [8315,]    1    2    2    2    2    3    4    3    3
#>  [8316,]    1    1    1    2    1    3    4    3    3
#>  [8317,]    1    2    3    3    2    4    5    4    4
#>  [8318,]    1    2    3    2    4    5    6    6    6
#>  [8319,]    1    2    3    3    4    5    6    6    6
#>  [8320,]    1    1    1    2    1    3    4    4    4
#>  [8321,]    1    1    2    1    2    3    4    5    5
#>  [8322,]    1    2    2    2    2    3    4    3    3
#>  [8323,]    1    1    1    2    3    4    4    4    4
#>  [8324,]    1    2    3    3    4    5    6    7    6
#>  [8325,]    1    2    1    1    3    4    5    6    7
#>  [8326,]    1    2    1    3    3    4    5    6    7
#>  [8327,]    1    2    3    4    5    6    7    6    6
#>  [8328,]    1    2    3    4    3    5    6    7    6
#>  [8329,]    1    2    3    4    5    6    7    8    9
#>  [8330,]    1    2    3    3    4    5    6    7    6
#>  [8331,]    1    2    3    3    1    4    5    5    5
#>  [8332,]    1    2    3    4    2    5    6    7    8
#>  [8333,]    1    2    3    4    5    6    7    7    8
#>  [8334,]    1    2    3    1    3    4    5    6    5
#>  [8335,]    1    2    3    1    3    4    5    6    7
#>  [8336,]    1    2    3    1    4    5    6    7    7
#>  [8337,]    1    2    3    1    4    5    5    5    6
#>  [8338,]    1    2    1    3    4    5    5    6    7
#>  [8339,]    1    1    2    1    3    4    5    4    4
#>  [8340,]    1    2    3    4    5    6    7    6    7
#>  [8341,]    1    2    3    2    4    5    6    7    8
#>  [8342,]    1    2    3    4    1    5    6    7    8
#>  [8343,]    1    2    3    4    5    6    7    8    7
#>  [8344,]    1    1    2    3    4    5    6    7    8
#>  [8345,]    1    1    1    1    2    3    4    3    5
#>  [8346,]    1    2    3    3    4    5    6    7    8
#>  [8347,]    1    2    1    2    3    4    4    4    5
#>  [8348,]    1    1    2    2    2    3    3    3    3
#>  [8349,]    1    2    1    1    2    3    4    4    4
#>  [8350,]    1    2    2    2    2    3    4    3    3
#>  [8351,]    1    1    1    1    1    2    2    2    2
#>  [8352,]    1    1    1    1    1    2    2    2    2
#>  [8353,]    1    1    1    1    1    2    3    3    3
#>  [8354,]    1    2    3    3    2    4    5    5    5
#>  [8355,]    1    1    2    1    2    3    4    4    4
#>  [8356,]    1    2    3    3    3    4    5    4    4
#>  [8357,]    1    2    2    2    2    3    3    4    3
#>  [8358,]    1    1    1    1    1    2    3    3    3
#>  [8359,]    1    1    1    1    1    2    3    2    4
#>  [8360,]    1    1    1    1    1    2    3    4    5
#>  [8361,]    1    1    1    1    1    2    3    2    4
#>  [8362,]    1    1    1    1    1    2    2    2    2
#>  [8363,]    1    1    1    1    1    2    2    2    2
#>  [8364,]    1    1    1    1    1    2    3    3    2
#>  [8365,]    1    1    1    1    1    2    3    3    3
#>  [8366,]    1    1    1    1    1    2    3    3    3
#>  [8367,]    1    1    1    1    2    3    3    3    3
#>  [8368,]    1    1    1    2    2    3    4    4    4
#>  [8369,]    1    2    2    2    1    3    3    4    3
#>  [8370,]    1    1    1    1    1    2    3    3    3
#>  [8371,]    1    2    3    1    1    4    4    5    4
#>  [8372,]    1    1    1    1    1    2    2    2    2
#>  [8373,]    1    1    1    1    1    2    3    4    2
#>  [8374,]    1    1    2    3    1    4    4    4    4
#>  [8375,]    1    1    2    1    2    3    3    3    4
#>  [8376,]    1    1    1    1    2    3    4    3    4
#>  [8377,]    1    2    3    2    1    4    5    4    5
#>  [8378,]    1    2    1    3    1    4    4    5    5
#>  [8379,]    1    1    1    1    1    2    3    4    5
#>  [8380,]    1    1    1    1    1    2    3    2    4
#>  [8381,]    1    1    1    1    1    2    2    3    2
#>  [8382,]    1    1    1    1    1    2    2    2    3
#>  [8383,]    1    1    1    1    1    2    3    4    4
#>  [8384,]    1    1    2    3    4    5    6    7    8
#>  [8385,]    1    2    3    3    1    4    4    4    5
#>  [8386,]    1    1    1    2    1    3    4    4    5
#>  [8387,]    1    1    2    1    1    3    4    5    4
#>  [8388,]    1    2    3    4    5    6    7    8    9
#>  [8389,]    1    2    1    3    1    4    5    6    7
#>  [8390,]    1    1    2    1    3    4    5    6    4
#>  [8391,]    1    1    1    2    3    4    5    5    4
#>  [8392,]    1    2    3    1    3    4    4    4    4
#>  [8393,]    1    2    3    1    1    4    4    4    4
#>  [8394,]    1    1    1    1    1    2    2    2    2
#>  [8395,]    1    1    1    1    1    2    2    2    2
#>  [8396,]    1    1    1    1    1    2    2    2    2
#>  [8397,]    1    2    2    2    1    3    3    3    3
#>  [8398,]    1    2    3    4    2    5    5    5    5
#>  [8399,]    1    2    2    2    3    4    4    4    4
#>  [8400,]    1    2    2    2    2    3    3    4    4
#>  [8401,]    1    1    2    2    2    3    3    3    4
#>  [8402,]    1    1    2    3    1    4    4    4    5
#>  [8403,]    1    1    2    1    2    3    3    4    3
#>  [8404,]    1    1    1    1    1    2    3    2    2
#>  [8405,]    1    1    1    1    1    2    3    4    4
#>  [8406,]    1    1    1    1    1    2    3    3    3
#>  [8407,]    1    1    1    1    1    2    2    2    2
#>  [8408,]    1    2    1    1    1    3    3    3    3
#>  [8409,]    1    2    1    2    3    4    5    6    5
#>  [8410,]    1    2    2    2    2    3    4    4    4
#>  [8411,]    1    1    2    2    1    3    4    5    5
#>  [8412,]    1    1    2    3    1    4    5    5    5
#>  [8413,]    1    2    3    4    5    6    7    6    8
#>  [8414,]    1    2    3    3    4    5    5    5    6
#>  [8415,]    1    2    3    4    2    5    5    5    6
#>  [8416,]    1    1    2    3    3    4    5    6    6
#>  [8417,]    1    2    1    1    1    3    3    4    5
#>  [8418,]    1    1    1    2    1    3    4    4    4
#>  [8419,]    1    1    2    1    1    3    4    4    4
#>  [8420,]    1    2    1    2    1    3    4    4    4
#>  [8421,]    1    2    3    4    4    5    6    6    6
#>  [8422,]    1    2    2    3    3    4    5    5    5
#>  [8423,]    1    1    1    2    3    4    5    6    7
#>  [8424,]    1    2    2    2    3    4    4    5    5
#>  [8425,]    1    2    1    2    3    4    5    6    7
#>  [8426,]    1    2    3    4    3    5    6    5    7
#>  [8427,]    1    2    1    1    3    4    4    5    6
#>  [8428,]    1    2    2    3    2    4    4    5    6
#>  [8429,]    1    2    3    4    2    5    6    7    6
#>  [8430,]    1    2    3    4    5    6    7    8    9
#>  [8431,]    1    1    2    3    1    4    5    6    5
#>  [8432,]    1    2    3    4    3    5    6    6    7
#>  [8433,]    1    2    3    4    5    6    7    8    9
#>  [8434,]    1    1    2    1    1    3    4    5    6
#>  [8435,]    1    1    1    1    1    2    3    3    4
#>  [8436,]    1    1    1    2    2    3    4    5    4
#>  [8437,]    1    1    2    3    1    4    5    6    5
#>  [8438,]    1    2    2    2    1    3    4    5    5
#>  [8439,]    1    2    2    2    2    3    3    3    4
#>  [8440,]    1    2    2    1    2    3    4    3    4
#>  [8441,]    1    1    2    1    3    4    4    4    4
#>  [8442,]    1    1    1    2    3    4    5    5    4
#>  [8443,]    1    2    2    2    3    4    5    4    5
#>  [8444,]    1    2    2    2    2    3    3    4    5
#>  [8445,]    1    1    1    1    1    2    2    2    3
#>  [8446,]    1    1    1    1    1    2    3    3    3
#>  [8447,]    1    1    1    1    1    2    2    2    2
#>  [8448,]    1    1    1    1    2    3    3    3    3
#>  [8449,]    1    1    1    2    3    4    4    4    4
#>  [8450,]    1    2    2    2    3    4    5    6    7
#>  [8451,]    1    2    2    2    3    4    5    5    6
#>  [8452,]    1    1    1    2    1    3    4    5    6
#>  [8453,]    1    1    2    1    1    3    4    4    4
#>  [8454,]    1    1    2    2    1    3    3    3    3
#>  [8455,]    1    1    1    1    1    2    2    3    3
#>  [8456,]    1    1    1    1    1    2    3    3    3
#>  [8457,]    1    1    1    1    1    2    2    3    4
#>  [8458,]    1    1    1    1    1    2    3    3    3
#>  [8459,]    1    1    1    1    1    2    2    3    2
#>  [8460,]    1    1    1    1    1    2    2    2    3
#>  [8461,]    1    1    1    1    1    2    3    4    4
#>  [8462,]    1    1    1    1    1    2    3    4    4
#>  [8463,]    1    1    1    1    1    2    3    3    4
#>  [8464,]    1    2    2    2    3    4    5    4    4
#>  [8465,]    1    1    1    2    1    3    3    3    3
#>  [8466,]    1    2    2    2    1    3    4    3    5
#>  [8467,]    1    2    3    3    1    4    4    5    5
#>  [8468,]    1    1    2    2    2    3    3    3    3
#>  [8469,]    1    1    1    1    1    2    2    2    2
#>  [8470,]    1    1    1    1    1    2    2    2    2
#>  [8471,]    1    1    1    1    1    2    2    2    2
#>  [8472,]    1    2    2    2    2    3    4    3    4
#>  [8473,]    1    2    2    2    2    3    4    5    4
#>  [8474,]    1    1    2    3    1    4    5    4    6
#>  [8475,]    1    2    1    1    1    3    4    5    4
#>  [8476,]    1    2    1    1    3    4    5    6    7
#>  [8477,]    1    2    1    3    4    5    6    7    7
#>  [8478,]    1    2    3    3    3    4    5    6    6
#>  [8479,]    1    1    2    3    4    5    6    6    5
#>  [8480,]    1    1    2    3    1    4    5    6    7
#>  [8481,]    1    2    3    4    4    5    6    7    7
#>  [8482,]    1    2    3    4    3    5    6    7    8
#>  [8483,]    1    2    3    4    5    6    7    8    9
#>  [8484,]    1    2    3    4    3    5    6    7    8
#>  [8485,]    1    2    3    2    2    4    5    6    6
#>  [8486,]    1    2    3    2    1    4    4    4    4
#>  [8487,]    1    1    1    2    2    3    4    5    3
#>  [8488,]    1    2    3    3    3    4    5    6    7
#>  [8489,]    1    2    2    2    2    3    4    5    6
#>  [8490,]    1    2    1    1    1    3    4    5    3
#>  [8491,]    1    2    3    4    5    6    7    8    9
#>  [8492,]    1    1    2    3    3    4    4    4    4
#>  [8493,]    1    1    1    1    1    2    2    2    2
#>  [8494,]    1    1    1    1    1    2    2    2    2
#>  [8495,]    1    1    1    1    1    2    3    4    3
#>  [8496,]    1    1    2    3    4    5    5    6    7
#>  [8497,]    1    2    2    2    2    3    3    4    3
#>  [8498,]    1    2    2    2    2    3    4    3    3
#>  [8499,]    1    1    1    1    1    2    2    3    2
#>  [8500,]    1    1    2    3    4    5    6    6    7
#>  [8501,]    1    2    3    4    1    5    5    5    6
#>  [8502,]    1    2    1    2    3    4    5    5    6
#>  [8503,]    1    2    1    3    1    4    5    6    7
#>  [8504,]    1    1    1    2    3    4    5    5    6
#>  [8505,]    1    2    3    4    5    6    7    7    8
#>  [8506,]    1    2    3    4    4    5    5    6    6
#>  [8507,]    1    2    3    4    5    6    7    8    9
#>  [8508,]    1    2    3    4    5    6    7    8    9
#>  [8509,]    1    1    2    3    3    4    5    6    5
#>  [8510,]    1    2    1    3    3    4    5    5    4
#>  [8511,]    1    2    3    4    5    6    6    7    6
#>  [8512,]    1    2    3    4    5    6    6    6    7
#>  [8513,]    1    2    3    2    4    5    6    7    8
#>  [8514,]    1    2    3    4    5    6    7    6    8
#>  [8515,]    1    2    2    2    2    3    4    4    4
#>  [8516,]    1    1    1    2    2    3    4    4    4
#>  [8517,]    1    1    2    3    1    4    5    5    6
#>  [8518,]    1    2    2    3    3    4    5    6    7
#>  [8519,]    1    2    2    3    4    5    6    7    6
#>  [8520,]    1    2    2    1    1    3    4    5    5
#>  [8521,]    1    2    1    3    2    4    5    6    5
#>  [8522,]    1    1    1    1    1    2    3    2    4
#>  [8523,]    1    2    1    3    2    4    5    5    5
#>  [8524,]    1    1    1    2    2    3    4    4    5
#>  [8525,]    1    2    2    3    4    5    5    6    5
#>  [8526,]    1    2    3    1    4    5    5    6    7
#>  [8527,]    1    2    3    4    5    5    6    7    6
#>  [8528,]    1    2    3    4    5    6    7    7    7
#>  [8529,]    1    2    1    2    1    3    3    3    3
#>  [8530,]    1    2    1    3    3    4    4    4    4
#>  [8531,]    1    2    2    3    4    5    6    7    7
#>  [8532,]    1    2    2    3    3    4    5    5    5
#>  [8533,]    1    1    1    1    1    2    3    3    4
#>  [8534,]    1    1    1    1    1    2    3    2    4
#>  [8535,]    1    1    1    1    1    2    3    4    3
#>  [8536,]    1    1    1    1    1    2    2    2    2
#>  [8537,]    1    2    3    3    4    5    6    6    6
#>  [8538,]    1    2    2    2    3    4    5    6    5
#>  [8539,]    1    2    3    4    5    6    6    6    7
#>  [8540,]    1    2    2    2    3    4    4    5    5
#>  [8541,]    1    2    3    4    3    5    5    6    7
#>  [8542,]    1    2    3    3    3    4    5    6    5
#>  [8543,]    1    2    3    2    4    5    6    6    7
#>  [8544,]    1    1    2    3    4    5    5    5    5
#>  [8545,]    1    2    1    3    3    4    4    5    4
#>  [8546,]    1    2    2    2    3    4    4    5    6
#>  [8547,]    1    1    1    1    2    3    4    4    4
#>  [8548,]    1    1    1    2    1    3    4    4    5
#>  [8549,]    1    2    1    3    3    4    4    5    6
#>  [8550,]    1    2    3    3    2    4    5    6    7
#>  [8551,]    1    2    2    3    4    5    6    7    5
#>  [8552,]    1    2    3    2    4    5    6    5    5
#>  [8553,]    1    1    2    1    3    4    5    6    4
#>  [8554,]    1    2    1    3    3    4    5    5    6
#>  [8555,]    1    2    1    1    3    4    5    6    7
#>  [8556,]    1    2    3    4    5    6    7    8    9
#>  [8557,]    1    2    3    2    4    5    6    7    8
#>  [8558,]    1    2    1    1    3    4    5    6    5
#>  [8559,]    1    2    2    2    2    3    4    3    5
#>  [8560,]    1    2    3    4    4    5    6    7    8
#>  [8561,]    1    2    3    4    4    5    6    7    7
#>  [8562,]    1    2    3    4    5    4    6    7    8
#>  [8563,]    1    2    3    4    5    5    6    7    8
#>  [8564,]    1    2    3    4    5    6    7    8    9
#>  [8565,]    1    2    3    4    5    6    7    8    9
#>  [8566,]    1    2    3    4    4    5    6    7    7
#>  [8567,]    1    2    3    4    5    6    7    7    7
#>  [8568,]    1    1    2    1    2    3    3    4    3
#>  [8569,]    1    1    1    2    3    4    5    6    6
#>  [8570,]    1    1    2    1    2    3    4    5    6
#>  [8571,]    1    2    3    4    5    6    7    8    7
#>  [8572,]    1    1    2    1    2    3    4    4    4
#>  [8573,]    1    2    1    3    4    5    6    6    6
#>  [8574,]    1    2    3    1    3    4    4    5    6
#>  [8575,]    1    2    3    1    1    4    4    4    5
#>  [8576,]    1    2    1    1    1    3    4    5    6
#>  [8577,]    1    1    1    1    1    2    3    2    4
#>  [8578,]    1    2    1    1    1    3    4    4    3
#>  [8579,]    1    1    1    1    1    2    3    4    4
#>  [8580,]    1    1    1    1    2    3    3    3    3
#>  [8581,]    1    1    2    1    1    3    3    3    3
#>  [8582,]    1    1    2    2    2    3    3    3    3
#>  [8583,]    1    2    2    2    3    4    5    4    5
#>  [8584,]    1    2    2    3    2    4    5    6    6
#>  [8585,]    1    2    3    1    1    4    5    6    7
#>  [8586,]    1    2    2    3    4    5    6    6    7
#>  [8587,]    1    2    3    2    4    5    6    7    6
#>  [8588,]    1    2    1    3    4    5    6    6    6
#>  [8589,]    1    2    2    1    3    4    5    5    5
#>  [8590,]    1    2    3    2    2    4    5    6    5
#>  [8591,]    1    2    2    3    3    4    5    6    7
#>  [8592,]    1    2    1    1    3    4    5    5    6
#>  [8593,]    1    2    3    3    2    4    4    5    4
#>  [8594,]    1    1    2    3    1    4    4    4    4
#>  [8595,]    1    1    1    1    1    2    3    4    2
#>  [8596,]    1    1    1    1    2    3    3    4    4
#>  [8597,]    1    1    1    1    1    2    2    2    3
#>  [8598,]    1    1    1    1    1    2    3    3    3
#>  [8599,]    1    1    1    1    1    2    3    2    3
#>  [8600,]    1    1    1    1    1    2    3    4    4
#>  [8601,]    1    2    1    1    1    3    4    4    4
#>  [8602,]    1    1    2    3    2    4    4    4    4
#>  [8603,]    1    2    3    3    1    4    4    4    4
#>  [8604,]    1    2    3    2    4    5    5    5    5
#>  [8605,]    1    2    3    2    4    5    5    6    5
#>  [8606,]    1    1    2    3    4    5    6    6    6
#>  [8607,]    1    2    1    3    4    5    5    5    5
#>  [8608,]    1    2    3    4    3    5    6    6    6
#>  [8609,]    1    2    3    2    4    5    6    7    8
#>  [8610,]    1    1    2    3    4    5    6    7    7
#>  [8611,]    1    2    3    4    3    4    5    6    7
#>  [8612,]    1    2    3    4    2    5    6    7    8
#>  [8613,]    1    2    3    4    5    6    6    6    7
#>  [8614,]    1    1    2    3    4    5    6    6    7
#>  [8615,]    1    2    1    3    1    4    5    5    6
#>  [8616,]    1    2    3    3    3    4    5    5    5
#>  [8617,]    1    1    1    2    3    4    5    5    6
#>  [8618,]    1    1    1    2    3    4    4    4    5
#>  [8619,]    1    1    2    1    3    4    4    5    4
#>  [8620,]    1    2    3    2    4    5    6    7    5
#>  [8621,]    1    2    3    1    3    4    4    5    5
#>  [8622,]    1    2    3    4    5    6    7    8    6
#>  [8623,]    1    2    3    2    3    4    5    6    7
#>  [8624,]    1    2    1    3    4    5    6    5    5
#>  [8625,]    1    1    1    1    2    3    3    3    3
#>  [8626,]    1    2    2    1    2    3    3    3    3
#>  [8627,]    1    1    2    1    2    3    3    3    3
#>  [8628,]    1    2    1    1    1    3    4    5    3
#>  [8629,]    1    1    1    1    1    2    3    2    4
#>  [8630,]    1    1    2    1    1    3    4    5    5
#>  [8631,]    1    2    3    4    5    6    7    8    8
#>  [8632,]    1    2    3    4    5    6    7    8    8
#>  [8633,]    1    2    3    4    3    5    6    7    8
#>  [8634,]    1    2    3    1    1    4    5    6    7
#>  [8635,]    1    2    3    4    5    6    7    8    9
#>  [8636,]    1    2    1    3    4    5    6    7    7
#>  [8637,]    1    2    2    3    2    4    5    6    7
#>  [8638,]    1    2    3    3    3    4    5    6    6
#>  [8639,]    1    2    3    3    4    5    6    7    8
#>  [8640,]    1    2    2    1    3    4    5    5    6
#>  [8641,]    1    2    2    3    3    4    5    5    6
#>  [8642,]    1    1    2    3    1    4    4    4    4
#>  [8643,]    1    1    2    1    2    3    3    3    3
#>  [8644,]    1    2    1    1    1    3    4    4    5
#>  [8645,]    1    1    1    1    1    2    3    4    3
#>  [8646,]    1    2    2    2    2    3    4    4    4
#>  [8647,]    1    1    2    1    1    3    4    4    3
#>  [8648,]    1    1    2    1    1    3    4    3    4
#>  [8649,]    1    2    1    1    2    3    4    5    5
#>  [8650,]    1    1    2    3    1    4    5    5    5
#>  [8651,]    1    2    1    1    1    3    4    4    4
#>  [8652,]    1    2    3    3    3    4    4    4    4
#>  [8653,]    1    2    1    3    4    5    6    6    6
#>  [8654,]    1    2    2    3    2    4    5    5    6
#>  [8655,]    1    2    3    4    5    6    6    7    8
#>  [8656,]    1    2    3    4    5    6    7    8    8
#>  [8657,]    1    2    1    3    3    4    5    5    5
#>  [8658,]    1    2    2    3    4    5    6    7    6
#>  [8659,]    1    2    2    3    3    4    5    6    6
#>  [8660,]    1    2    2    3    2    4    5    6    7
#>  [8661,]    1    1    1    1    1    2    3    3    3
#>  [8662,]    1    1    1    1    1    2    2    2    2
#>  [8663,]    1    1    1    1    1    2    2    2    2
#>  [8664,]    1    1    1    1    1    2    2    2    2
#>  [8665,]    1    1    1    1    1    2    3    2    2
#>  [8666,]    1    1    1    2    2    3    4    3    3
#>  [8667,]    1    2    3    2    2    4    5    6    6
#>  [8668,]    1    1    2    3    2    4    5    6    7
#>  [8669,]    1    2    3    4    2    5    6    6    7
#>  [8670,]    1    1    2    3    4    5    6    7    8
#>  [8671,]    1    2    3    4    5    6    7    8    9
#>  [8672,]    1    2    3    4    5    6    7    8    9
#>  [8673,]    1    2    3    4    2    5    6    7    8
#>  [8674,]    1    2    3    2    1    4    5    6    7
#>  [8675,]    1    2    1    1    3    4    5    5    5
#>  [8676,]    1    2    3    4    5    6    7    7    7
#>  [8677,]    1    2    3    4    5    6    7    8    9
#>  [8678,]    1    2    3    4    5    6    7    7    8
#>  [8679,]    1    2    3    4    5    6    7    7    8
#>  [8680,]    1    1    2    3    4    5    6    7    8
#>  [8681,]    1    2    2    3    4    5    6    6    6
#>  [8682,]    1    2    3    4    5    6    7    7    7
#>  [8683,]    1    2    3    4    5    6    7    6    6
#>  [8684,]    1    1    1    2    3    4    5    6    5
#>  [8685,]    1    2    2    2    2    3    3    3    3
#>  [8686,]    1    1    1    1    2    3    3    3    3
#>  [8687,]    1    2    1    1    1    3    4    4    5
#>  [8688,]    1    2    3    4    5    6    7    8    7
#>  [8689,]    1    2    3    2    2    4    5    6    7
#>  [8690,]    1    1    2    2    1    3    4    5    6
#>  [8691,]    1    2    3    4    5    6    6    7    8
#>  [8692,]    1    2    3    2    2    4    5    6    6
#>  [8693,]    1    1    1    1    1    2    3    3    3
#>  [8694,]    1    1    1    1    1    2    2    2    2
#>  [8695,]    1    1    1    1    1    2    2    2    2
#>  [8696,]    1    1    1    1    1    2    2    2    2
#>  [8697,]    1    1    1    1    1    2    2    2    3
#>  [8698,]    1    2    2    2    3    4    5    6    4
#>  [8699,]    1    1    1    1    1    2    2    2    3
#>  [8700,]    1    1    1    1    1    2    2    3    3
#>  [8701,]    1    1    1    1    1    2    3    2    2
#>  [8702,]    1    1    2    2    1    3    3    3    3
#>  [8703,]    1    1    1    1    1    2    2    2    2
#>  [8704,]    1    1    2    1    1    3    4    3    4
#>  [8705,]    1    2    3    4    2    5    5    6    6
#>  [8706,]    1    2    3    4    5    6    7    8    7
#>  [8707,]    1    2    3    4    5    6    7    6    6
#>  [8708,]    1    2    3    4    5    6    7    7    8
#>  [8709,]    1    2    3    4    5    6    7    8    9
#>  [8710,]    1    1    2    3    4    5    6    7    8
#>  [8711,]    1    2    1    3    4    5    6    6    6
#>  [8712,]    1    2    3    4    1    5    6    7    7
#>  [8713,]    1    1    2    1    3    4    5    4    5
#>  [8714,]    1    2    3    4    5    6    6    7    8
#>  [8715,]    1    2    3    4    3    5    5    5    5
#>  [8716,]    1    2    3    4    5    6    7    7    8
#>  [8717,]    1    2    1    3    3    3    4    5    4
#>  [8718,]    1    2    3    4    5    6    7    8    9
#>  [8719,]    1    2    2    3    4    5    6    7    7
#>  [8720,]    1    1    2    3    4    5    6    6    7
#>  [8721,]    1    2    3    4    1    5    6    7    8
#>  [8722,]    1    2    3    4    5    6    7    8    9
#>  [8723,]    1    1    2    1    3    4    4    5    6
#>  [8724,]    1    2    1    1    1    3    3    3    4
#>  [8725,]    1    1    1    1    1    2    2    2    3
#>  [8726,]    1    2    1    1    2    3    3    4    4
#>  [8727,]    1    2    1    1    3    4    5    6    5
#>  [8728,]    1    2    2    2    2    3    4    5    6
#>  [8729,]    1    2    3    1    3    4    5    6    4
#>  [8730,]    1    1    2    2    2    3    4    5    4
#>  [8731,]    1    2    3    3    3    4    5    6    7
#>  [8732,]    1    1    1    1    1    2    3    2    4
#>  [8733,]    1    1    1    1    2    3    4    4    5
#>  [8734,]    1    2    3    1    2    4    5    5    6
#>  [8735,]    1    2    1    3    2    4    5    6    6
#>  [8736,]    1    2    3    2    2    4    4    5    5
#>  [8737,]    1    1    2    1    1    3    4    4    4
#>  [8738,]    1    2    2    3    3    4    5    6    7
#>  [8739,]    1    2    3    2    4    5    6    7    8
#>  [8740,]    1    2    1    3    1    4    5    6    7
#>  [8741,]    1    2    3    4    3    5    6    7    8
#>  [8742,]    1    1    1    2    1    3    4    5    6
#>  [8743,]    1    1    1    2    3    4    4    5    6
#>  [8744,]    1    2    2    3    4    5    6    5    7
#>  [8745,]    1    2    3    4    5    6    7    6    8
#>  [8746,]    1    2    3    4    5    6    7    8    9
#>  [8747,]    1    2    3    4    4    5    6    7    8
#>  [8748,]    1    2    3    3    4    5    6    7    5
#>  [8749,]    1    2    3    4    5    6    7    8    9
#>  [8750,]    1    2    2    3    2    4    5    6    6
#>  [8751,]    1    2    3    4    4    5    6    6    7
#>  [8752,]    1    2    2    2    1    3    4    3    4
#>  [8753,]    1    1    2    3    1    4    5    6    6
#>  [8754,]    1    2    3    3    2    4    5    5    6
#>  [8755,]    1    1    2    1    1    3    4    5    6
#>  [8756,]    1    2    2    2    3    4    5    4    5
#>  [8757,]    1    1    2    2    1    3    4    4    4
#>  [8758,]    1    1    1    1    2    3    4    4    4
#>  [8759,]    1    1    1    2    3    4    4    4    4
#>  [8760,]    1    2    3    1    3    4    5    5    4
#>  [8761,]    1    1    1    1    1    2    3    2    4
#>  [8762,]    1    2    2    2    2    3    3    3    4
#>  [8763,]    1    2    1    1    1    3    3    3    3
#>  [8764,]    1    2    1    3    2    4    5    6    4
#>  [8765,]    1    2    3    2    1    4    5    6    4
#>  [8766,]    1    2    1    1    1    3    4    5    4
#>  [8767,]    1    2    2    3    4    5    5    6    7
#>  [8768,]    1    2    2    3    2    4    5    6    6
#>  [8769,]    1    2    1    2    3    4    5    5    5
#>  [8770,]    1    2    3    4    5    6    7    8    7
#>  [8771,]    1    1    2    3    4    5    6    6    7
#>  [8772,]    1    2    3    4    1    5    6    6    7
#>  [8773,]    1    1    2    1    2    3    4    5    5
#>  [8774,]    1    2    1    3    1    4    5    5    5
#>  [8775,]    1    2    1    3    4    5    6    7    8
#>  [8776,]    1    2    3    1    1    4    5    6    7
#>  [8777,]    1    2    3    4    5    6    7    8    9
#>  [8778,]    1    2    3    4    5    6    7    7    8
#>  [8779,]    1    2    3    4    5    6    7    8    8
#>  [8780,]    1    2    3    4    5    6    7    8    9
#>  [8781,]    1    2    3    4    5    6    7    7    7
#>  [8782,]    1    2    2    3    3    4    5    4    5
#>  [8783,]    1    2    1    3    4    5    6    5    7
#>  [8784,]    1    1    2    2    2    3    3    3    3
#>  [8785,]    1    2    2    1    1    3    3    3    4
#>  [8786,]    1    1    1    1    2    3    3    4    4
#>  [8787,]    1    1    1    1    2    3    3    3    3
#>  [8788,]    1    2    1    3    1    4    5    4    6
#>  [8789,]    1    1    1    2    3    4    5    4    4
#>  [8790,]    1    2    3    2    2    4    5    6    6
#>  [8791,]    1    2    3    1    1    4    5    4    6
#>  [8792,]    1    1    2    2    3    4    5    4    5
#>  [8793,]    1    2    1    3    4    5    6    7    7
#>  [8794,]    1    2    3    4    2    5    6    5    5
#>  [8795,]    1    2    1    1    1    3    4    4    5
#>  [8796,]    1    1    2    2    2    3    4    3    3
#>  [8797,]    1    1    2    2    3    4    5    6    5
#>  [8798,]    1    1    1    1    1    2    3    4    4
#>  [8799,]    1    2    2    2    2    3    4    4    4
#>  [8800,]    1    2    2    1    1    3    3    3    3
#>  [8801,]    1    2    2    1    2    3    4    4    4
#>  [8802,]    1    1    2    3    3    4    5    5    5
#>  [8803,]    1    1    2    1    1    3    4    3    5
#>  [8804,]    1    1    2    2    1    3    4    4    5
#>  [8805,]    1    2    3    4    5    6    7    8    9
#>  [8806,]    1    2    3    4    5    6    7    8    9
#>  [8807,]    1    2    3    4    5    6    7    8    8
#>  [8808,]    1    1    2    2    2    3    4    5    6
#>  [8809,]    1    2    3    2    4    5    6    7    6
#>  [8810,]    1    1    2    3    4    5    6    7    8
#>  [8811,]    1    2    3    4    5    6    7    8    9
#>  [8812,]    1    2    3    4    5    6    7    8    9
#>  [8813,]    1    2    3    4    5    6    7    8    8
#>  [8814,]    1    2    3    1    1    4    4    4    5
#>  [8815,]    1    2    1    1    1    3    4    5    4
#>  [8816,]    1    1    2    1    3    4    5    5    5
#>  [8817,]    1    2    3    3    3    4    5    5    5
#>  [8818,]    1    2    2    2    3    4    5    6    5
#>  [8819,]    1    2    3    1    1    4    4    4    5
#>  [8820,]    1    2    1    1    3    4    5    5    6
#>  [8821,]    1    1    1    2    3    4    5    6    5
#>  [8822,]    1    2    1    1    1    3    4    5    6
#>  [8823,]    1    2    1    3    2    4    4    5    5
#>  [8824,]    1    2    3    4    1    5    6    6    7
#>  [8825,]    1    2    3    4    5    6    7    7    7
#>  [8826,]    1    2    1    3    1    4    5    5    5
#>  [8827,]    1    1    1    1    2    3    4    4    4
#>  [8828,]    1    2    1    1    1    3    4    3    5
#>  [8829,]    1    1    1    1    1    2    3    3    4
#>  [8830,]    1    2    1    3    2    4    5    5    5
#>  [8831,]    1    1    1    1    2    3    4    4    4
#>  [8832,]    1    2    1    2    3    4    5    6    7
#>  [8833,]    1    2    3    4    3    5    6    6    7
#>  [8834,]    1    2    3    4    5    6    7    8    7
#>  [8835,]    1    2    3    4    5    6    7    8    7
#>  [8836,]    1    1    2    3    2    4    5    5    6
#>  [8837,]    1    2    3    4    3    5    6    7    8
#>  [8838,]    1    2    2    3    2    4    5    6    5
#>  [8839,]    1    2    2    2    3    4    5    6    7
#>  [8840,]    1    2    3    2    4    5    6    7    8
#>  [8841,]    1    2    2    3    4    5    6    5    5
#>  [8842,]    1    1    2    3    4    5    5    6    6
#>  [8843,]    1    2    2    2    3    4    5    5    6
#>  [8844,]    1    2    2    3    4    5    6    7    8
#>  [8845,]    1    1    1    2    1    3    4    5    5
#>  [8846,]    1    2    3    1    1    4    5    6    4
#>  [8847,]    1    2    3    2    2    4    4    4    5
#>  [8848,]    1    1    1    1    1    2    3    4    4
#>  [8849,]    1    1    2    1    1    3    4    3    3
#>  [8850,]    1    1    2    2    3    4    5    5    5
#>  [8851,]    1    2    2    1    1    3    4    5    6
#>  [8852,]    1    1    1    1    2    3    3    4    5
#>  [8853,]    1    2    2    3    4    5    6    6    7
#>  [8854,]    1    1    2    3    4    5    6    6    7
#>  [8855,]    1    2    3    4    4    5    6    7    6
#>  [8856,]    1    2    3    4    5    6    7    8    9
#>  [8857,]    1    2    2    3    4    5    6    7    5
#>  [8858,]    1    2    3    2    1    4    4    4    4
#>  [8859,]    1    1    2    3    1    4    5    5    5
#>  [8860,]    1    1    1    1    1    2    3    4    3
#>  [8861,]    1    1    1    1    1    2    3    3    3
#>  [8862,]    1    2    2    2    3    4    4    4    4
#>  [8863,]    1    2    3    1    1    4    5    5    6
#>  [8864,]    1    1    2    2    2    3    4    5    6
#>  [8865,]    1    2    3    4    5    6    7    8    9
#>  [8866,]    1    2    3    4    5    6    7    8    9
#>  [8867,]    1    1    2    2    3    4    5    6    4
#>  [8868,]    1    2    1    2    2    3    4    3    3
#>  [8869,]    1    1    1    2    1    3    3    3    4
#>  [8870,]    1    2    2    1    1    3    4    5    5
#>  [8871,]    1    1    2    1    2    3    3    4    5
#>  [8872,]    1    2    3    2    2    4    5    5    6
#>  [8873,]    1    1    1    2    1    3    3    4    5
#>  [8874,]    1    2    1    1    3    4    5    6    6
#>  [8875,]    1    2    2    3    4    5    6    7    8
#>  [8876,]    1    2    3    4    5    6    7    8    9
#>  [8877,]    1    2    3    4    5    6    7    8    9
#>  [8878,]    1    1    2    1    3    4    5    6    7
#>  [8879,]    1    1    2    3    1    4    5    6    5
#>  [8880,]    1    1    1    1    1    2    3    4    5
#>  [8881,]    1    1    2    1    3    4    5    6    7
#>  [8882,]    1    2    3    4    5    6    7    8    9
#>  [8883,]    1    2    1    3    4    5    6    7    8
#>  [8884,]    1    2    3    2    4    5    6    7    8
#>  [8885,]    1    1    2    3    1    4    5    6    7
#>  [8886,]    1    1    2    3    2    4    5    6    5
#>  [8887,]    1    2    3    4    5    6    7    8    9
#>  [8888,]    1    2    3    4    3    5    6    7    7
#>  [8889,]    1    2    3    4    1    5    6    7    8
#>  [8890,]    1    2    1    2    1    3    4    5    5
#>  [8891,]    1    1    1    1    1    2    3    4    3
#>  [8892,]    1    1    1    1    1    2    3    3    4
#>  [8893,]    1    1    1    1    1    2    2    3    3
#>  [8894,]    1    1    1    1    1    2    3    2    2
#>  [8895,]    1    1    1    1    1    2    2    2    2
#>  [8896,]    1    2    1    2    3    4    4    5    5
#>  [8897,]    1    1    1    2    1    3    3    3    4
#>  [8898,]    1    1    1    2    2    3    3    4    3
#>  [8899,]    1    1    2    1    2    3    4    3    3
#>  [8900,]    1    1    1    1    1    2    2    2    2
#>  [8901,]    1    1    1    1    1    2    2    2    2
#>  [8902,]    1    1    1    1    1    2    2    2    3
#>  [8903,]    1    2    1    2    1    3    4    5    4
#>  [8904,]    1    2    1    3    4    5    5    6    5
#>  [8905,]    1    1    2    3    3    4    4    5    6
#>  [8906,]    1    1    2    2    3    4    5    6    5
#>  [8907,]    1    1    2    2    3    4    5    5    4
#>  [8908,]    1    2    1    1    1    3    3    4    4
#>  [8909,]    1    1    1    1    1    2    3    3    3
#>  [8910,]    1    1    1    2    3    4    4    4    4
#>  [8911,]    1    1    1    1    2    3    4    4    4
#>  [8912,]    1    1    2    1    1    3    3    4    3
#>  [8913,]    1    1    1    2    3    4    4    4    5
#>  [8914,]    1    1    2    2    2    3    4    4    4
#>  [8915,]    1    1    2    1    2    3    4    4    4
#>  [8916,]    1    2    1    1    3    4    5    5    6
#>  [8917,]    1    2    3    3    3    4    5    6    7
#>  [8918,]    1    1    2    2    1    3    4    4    5
#>  [8919,]    1    2    3    1    3    4    5    5    6
#>  [8920,]    1    2    3    3    3    4    4    4    4
#>  [8921,]    1    1    2    2    3    4    5    5    5
#>  [8922,]    1    2    1    2    1    3    4    4    4
#>  [8923,]    1    2    3    4    5    6    7    6    7
#>  [8924,]    1    2    2    3    2    4    5    4    6
#>  [8925,]    1    2    1    1    1    3    3    3    4
#>  [8926,]    1    1    2    3    2    4    4    4    4
#>  [8927,]    1    2    2    1    3    4    5    4    4
#>  [8928,]    1    2    1    3    4    5    6    5    6
#>  [8929,]    1    2    3    4    5    6    6    7    8
#>  [8930,]    1    2    3    4    5    6    7    7    8
#>  [8931,]    1    2    3    4    2    5    5    6    7
#>  [8932,]    1    2    3    1    1    4    5    6    7
#>  [8933,]    1    2    3    4    5    6    7    7    8
#>  [8934,]    1    2    3    3    2    4    4    5    6
#>  [8935,]    1    2    3    1    4    5    6    5    5
#>  [8936,]    1    2    3    2    4    5    6    6    7
#>  [8937,]    1    2    2    2    3    4    5    6    7
#>  [8938,]    1    2    3    2    4    5    6    7    8
#>  [8939,]    1    1    1    2    3    4    4    5    2
#>  [8940,]    1    2    3    3    4    5    5    2    5
#>  [8941,]    1    1    2    1    2    3    4    5    6
#>  [8942,]    1    2    2    1    1    3    4    5    5
#>  [8943,]    1    1    2    1    1    3    4    5    4
#>  [8944,]    1    2    3    1    1    4    5    6    5
#>  [8945,]    1    2    3    1    4    5    6    5    5
#>  [8946,]    1    2    3    1    2    4    5    5    6
#>  [8947,]    1    2    3    4    5    6    7    8    7
#>  [8948,]    1    2    3    4    5    6    7    7    8
#>  [8949,]    1    2    3    4    4    5    6    7    8
#>  [8950,]    1    2    3    4    5    6    7    8    9
#>  [8951,]    1    2    3    1    4    5    6    7    7
#>  [8952,]    1    1    2    3    4    5    6    7    8
#>  [8953,]    1    2    3    4    2    5    6    7    7
#>  [8954,]    1    2    1    3    1    4    5    6    7
#>  [8955,]    1    2    3    2    3    4    5    6    5
#>  [8956,]    1    2    2    3    4    5    6    7    7
#>  [8957,]    1    2    2    2    1    3    4    3    5
#>  [8958,]    1    2    2    3    2    4    5    5    6
#>  [8959,]    1    1    2    3    4    5    6    7    6
#>  [8960,]    1    2    3    3    3    4    5    6    4
#>  [8961,]    1    2    2    3    2    4    5    4    6
#>  [8962,]    1    2    3    2    3    4    5    5    5
#>  [8963,]    1    1    2    3    1    4    5    5    6
#>  [8964,]    1    2    1    3    1    4    5    6    6
#>  [8965,]    1    1    1    2    1    3    4    5    3
#>  [8966,]    1    2    1    3    4    5    5    5    6
#>  [8967,]    1    2    3    4    5    6    7    6    8
#>  [8968,]    1    2    3    4    5    6    6    7    6
#>  [8969,]    1    2    3    2    4    5    6    6    7
#>  [8970,]    1    2    3    4    5    6    6    7    8
#>  [8971,]    1    2    2    3    4    5    5    6    7
#>  [8972,]    1    1    2    3    4    5    6    7    8
#>  [8973,]    1    2    2    2    2    3    4    5    6
#>  [8974,]    1    2    3    3    3    4    5    6    7
#>  [8975,]    1    2    1    3    1    4    4    4    4
#>  [8976,]    1    2    3    3    3    4    4    5    4
#>  [8977,]    1    1    1    1    1    2    3    3    4
#>  [8978,]    1    1    1    2    1    3    3    4    4
#>  [8979,]    1    1    1    1    2    3    3    3    3
#>  [8980,]    1    1    1    2    1    3    3    4    3
#>  [8981,]    1    1    1    1    1    2    3    3    3
#>  [8982,]    1    1    1    2    2    3    3    4    4
#>  [8983,]    1    1    2    2    1    3    4    3    5
#>  [8984,]    1    2    3    2    2    4    5    5    6
#>  [8985,]    1    2    3    2    1    4    5    6    6
#>  [8986,]    1    1    1    2    3    4    5    6    6
#>  [8987,]    1    1    2    1    3    4    5    5    5
#>  [8988,]    1    1    2    3    4    5    5    5    5
#>  [8989,]    1    2    3    4    4    5    6    6    6
#>  [8990,]    1    2    2    2    2    3    3    3    3
#>  [8991,]    1    1    1    1    1    2    3    3    4
#>  [8992,]    1    1    1    1    1    2    2    3    3
#>  [8993,]    1    1    1    1    1    2    2    2    2
#>  [8994,]    1    1    1    1    1    2    2    2    2
#>  [8995,]    1    1    1    1    2    3    3    3    3
#>  [8996,]    1    2    1    1    1    3    3    4    3
#>  [8997,]    1    1    1    1    1    2    3    2    4
#>  [8998,]    1    1    1    1    1    2    2    3    3
#>  [8999,]    1    1    1    1    1    2    3    4    4
#>  [9000,]    1    1    1    1    1    2    3    3    3
#>  [9001,]    1    1    1    1    1    2    2    2    2
#>  [9002,]    1    1    1    1    1    2    3    2    2
#>  [9003,]    1    1    1    1    1    2    3    2    4
#>  [9004,]    1    1    1    2    1    3    4    5    6
#>  [9005,]    1    2    3    4    5    6    7    8    9
#>  [9006,]    1    2    3    3    4    5    6    6    6
#>  [9007,]    1    1    2    3    1    4    5    6    4
#>  [9008,]    1    2    3    2    4    5    6    7    8
#>  [9009,]    1    1    1    2    2    3    4    3    4
#>  [9010,]    1    1    2    2    2    3    4    3    4
#>  [9011,]    1    2    3    1    1    4    4    4    4
#>  [9012,]    1    2    2    2    2    3    4    4    4
#>  [9013,]    1    1    2    3    3    4    5    5    6
#>  [9014,]    1    2    3    2    2    4    5    6    7
#>  [9015,]    1    1    2    1    1    3    4    5    6
#>  [9016,]    1    2    1    1    3    4    5    4    6
#>  [9017,]    1    2    3    1    4    5    6    7    8
#>  [9018,]    1    1    2    3    1    4    5    6    5
#>  [9019,]    1    2    3    4    5    6    7    8    7
#>  [9020,]    1    2    1    3    4    5    6    5    7
#>  [9021,]    1    2    2    2    3    4    5    5    6
#>  [9022,]    1    1    1    2    1    3    4    5    6
#>  [9023,]    1    1    1    1    1    2    3    2    3
#>  [9024,]    1    1    1    1    1    2    3    3    3
#>  [9025,]    1    1    1    1    1    2    3    3    3
#>  [9026,]    1    1    1    1    1    2    3    2    2
#>  [9027,]    1    1    1    1    1    2    2    2    2
#>  [9028,]    1    2    2    1    1    3    3    3    3
#>  [9029,]    1    2    3    4    3    5    5    5    6
#>  [9030,]    1    1    2    2    3    4    5    6    7
#>  [9031,]    1    2    2    3    2    4    5    5    5
#>  [9032,]    1    1    2    3    1    4    5    5    6
#>  [9033,]    1    2    3    4    1    5    6    7    6
#>  [9034,]    1    1    1    1    2    3    4    4    5
#>  [9035,]    1    1    1    2    2    3    4    5    4
#>  [9036,]    1    1    2    3    1    4    4    4    5
#>  [9037,]    1    2    3    4    5    6    7    7    7
#>  [9038,]    1    2    3    4    5    6    7    7    8
#>  [9039,]    1    2    3    4    5    6    7    8    8
#>  [9040,]    1    2    1    3    3    4    5    5    5
#>  [9041,]    1    2    3    3    3    4    5    6    6
#>  [9042,]    1    2    3    3    4    5    6    7    6
#>  [9043,]    1    2    2    3    3    4    5    5    5
#>  [9044,]    1    2    2    3    4    5    6    7    8
#>  [9045,]    1    1    2    3    4    5    6    7    8
#>  [9046,]    1    2    3    4    4    5    6    6    6
#>  [9047,]    1    2    3    2    2    4    4    4    4
#>  [9048,]    1    2    2    2    2    3    3    4    3
#>  [9049,]    1    2    1    1    3    4    5    6    5
#>  [9050,]    1    2    3    4    5    6    7    6    8
#>  [9051,]    1    2    3    1    4    5    6    6    7
#>  [9052,]    1    2    3    4    5    6    7    6    7
#>  [9053,]    1    1    1    2    3    4    4    5    4
#>  [9054,]    1    1    2    2    3    4    5    4    5
#>  [9055,]    1    1    1    1    1    2    3    3    3
#>  [9056,]    1    1    1    2    1    3    3    3    3
#>  [9057,]    1    1    1    1    1    2    2    2    3
#>  [9058,]    1    1    1    1    1    2    2    3    3
#>  [9059,]    1    1    1    1    2    3    4    4    4
#>  [9060,]    1    2    3    4    3    5    6    6    6
#>  [9061,]    1    2    3    3    3    4    4    4    5
#>  [9062,]    1    2    1    1    3    4    5    6    7
#>  [9063,]    1    2    3    4    5    6    7    7    7
#>  [9064,]    1    2    2    3    1    4    4    4    4
#>  [9065,]    1    1    2    3    3    4    5    5    6
#>  [9066,]    1    2    3    3    2    4    4    5    5
#>  [9067,]    1    1    1    1    2    3    4    3    4
#>  [9068,]    1    1    1    2    1    3    4    4    4
#>  [9069,]    1    2    2    2    2    3    4    4    5
#>  [9070,]    1    1    1    1    1    2    2    3    3
#>  [9071,]    1    2    3    4    4    5    6    7    7
#>  [9072,]    1    2    3    1    1    4    5    5    5
#>  [9073,]    1    2    3    3    3    4    5    5    6
#>  [9074,]    1    2    2    2    2    3    4    5    5
#>  [9075,]    1    2    3    4    5    6    7    6    8
#>  [9076,]    1    1    2    1    3    4    5    6    4
#>  [9077,]    1    2    3    4    5    6    7    7    8
#>  [9078,]    1    2    2    3    2    4    4    4    5
#>  [9079,]    1    2    3    1    1    4    4    5    6
#>  [9080,]    1    2    3    4    1    5    6    7    8
#>  [9081,]    1    2    3    4    5    6    7    8    8
#>  [9082,]    1    2    3    3    3    4    5    5    6
#>  [9083,]    1    2    2    2    2    3    4    5    6
#>  [9084,]    1    2    3    2    3    4    5    5    5
#>  [9085,]    1    2    2    3    4    5    6    6    6
#>  [9086,]    1    1    2    3    1    4    5    6    5
#>  [9087,]    1    1    2    1    2    3    3    3    3
#>  [9088,]    1    2    2    2    2    3    4    5    6
#>  [9089,]    1    2    3    2    4    5    5    5    6
#>  [9090,]    1    2    3    3    4    5    5    6    5
#>  [9091,]    1    1    1    1    2    3    4    5    5
#>  [9092,]    1    1    2    3    1    4    4    5    6
#>  [9093,]    1    2    1    1    3    4    5    5    5
#>  [9094,]    1    1    1    1    1    2    3    4    3
#>  [9095,]    1    1    1    1    1    2    3    4    3
#>  [9096,]    1    1    1    1    1    2    2    2    2
#>  [9097,]    1    1    1    1    1    2    3    2    3
#>  [9098,]    1    1    1    1    1    2    3    2    2
#>  [9099,]    1    1    1    1    1    2    3    3    3
#>  [9100,]    1    1    2    1    2    3    3    3    3
#>  [9101,]    1    2    2    2    3    4    4    4    4
#>  [9102,]    1    1    1    1    2    2    3    3    3
#>  [9103,]    1    1    1    2    1    3    3    3    3
#>  [9104,]    1    1    1    1    1    2    2    2    2
#>  [9105,]    1    1    1    1    1    2    3    3    3
#>  [9106,]    1    1    1    1    1    2    2    3    2
#>  [9107,]    1    1    1    1    1    2    2    2    2
#>  [9108,]    1    1    1    1    1    2    2    2    2
#>  [9109,]    1    1    1    1    1    2    3    3    4
#>  [9110,]    1    2    1    1    1    3    3    3    4
#>  [9111,]    1    1    1    1    2    3    4    3    3
#>  [9112,]    1    1    2    1    1    3    4    4    4
#>  [9113,]    1    2    3    2    2    4    5    5    5
#>  [9114,]    1    1    1    2    3    4    5    5    5
#>  [9115,]    1    1    2    3    1    4    5    5    5
#>  [9116,]    1    2    1    3    4    5    5    5    6
#>  [9117,]    1    2    3    4    1    5    6    7    8
#>  [9118,]    1    2    3    4    5    6    7    8    9
#>  [9119,]    1    2    3    4    4    5    6    6    6
#>  [9120,]    1    1    2    2    2    3    4    4    4
#>  [9121,]    1    2    1    3    3    4    4    4    5
#>  [9122,]    1    1    1    1    1    2    3    4    4
#>  [9123,]    1    1    1    1    2    3    3    3    4
#>  [9124,]    1    1    1    2    2    3    3    4    3
#>  [9125,]    1    1    1    1    2    3    3    3    3
#>  [9126,]    1    2    3    1    3    4    5    6    6
#>  [9127,]    1    2    3    3    4    5    6    5    5
#>  [9128,]    1    2    1    1    2    3    4    4    4
#>  [9129,]    1    2    1    3    1    4    5    5    5
#>  [9130,]    1    2    3    1    1    4    5    5    5
#>  [9131,]    1    2    3    4    5    6    7    6    7
#>  [9132,]    1    2    3    3    3    4    5    5    6
#>  [9133,]    1    1    1    2    3    4    4    5    6
#>  [9134,]    1    2    2    3    3    4    5    5    5
#>  [9135,]    1    2    3    1    1    4    5    5    5
#>  [9136,]    1    1    1    2    1    3    3    3    3
#>  [9137,]    1    1    1    2    1    3    4    4    4
#>  [9138,]    1    1    2    1    3    4    4    4    4
#>  [9139,]    1    1    2    2    2    3    3    3    3
#>  [9140,]    1    1    2    2    3    4    4    4    5
#>  [9141,]    1    2    2    2    2    3    3    4    5
#>  [9142,]    1    2    2    2    2    3    4    4    5
#>  [9143,]    1    2    2    1    2    3    4    4    4
#>  [9144,]    1    1    1    2    1    3    3    4    4
#>  [9145,]    1    2    1    1    3    4    5    6    7
#>  [9146,]    1    1    1    1    1    2    2    2    2
#>  [9147,]    1    1    2    1    1    3    4    4    4
#>  [9148,]    1    1    1    1    1    2    2    3    3
#>  [9149,]    1    1    1    1    1    2    3    3    3
#>  [9150,]    1    1    1    1    1    2    3    3    3
#>  [9151,]    1    1    2    1    3    4    5    6    5
#>  [9152,]    1    1    2    1    1    3    4    4    4
#>  [9153,]    1    1    1    2    1    3    4    5    5
#>  [9154,]    1    2    1    1    1    3    4    5    6
#>  [9155,]    1    1    1    1    2    3    4    4    4
#>  [9156,]    1    1    2    3    4    5    5    5    5
#>  [9157,]    1    2    3    4    4    5    5    5    5
#>  [9158,]    1    2    3    1    1    4    4    5    4
#>  [9159,]    1    2    2    3    4    5    6    6    6
#>  [9160,]    1    1    1    2    2    3    4    5    5
#>  [9161,]    1    1    1    1    2    3    4    3    5
#>  [9162,]    1    1    2    3    1    4    5    6    6
#>  [9163,]    1    2    1    1    1    3    3    3    4
#>  [9164,]    1    1    1    1    1    2    3    4    5
#>  [9165,]    1    1    1    1    2    3    3    4    3
#>  [9166,]    1    1    1    1    1    2    3    4    3
#>  [9167,]    1    1    2    3    3    4    4    4    4
#>  [9168,]    1    2    1    1    3    4    5    5    5
#>  [9169,]    1    1    1    1    1    2    3    3    4
#>  [9170,]    1    1    1    1    1    2    3    4    2
#>  [9171,]    1    2    3    1    1    4    5    6    5
#>  [9172,]    1    2    2    3    3    4    5    6    6
#>  [9173,]    1    1    2    1    1    3    4    4    3
#>  [9174,]    1    2    1    1    1    3    3    4    5
#>  [9175,]    1    1    1    2    1    3    4    4    4
#>  [9176,]    1    2    1    1    1    3    4    4    4
#>  [9177,]    1    1    2    1    2    3    4    3    4
#>  [9178,]    1    1    2    2    2    3    3    3    4
#>  [9179,]    1    1    2    1    2    3    3    4    5
#>  [9180,]    1    2    3    1    4    5    6    6    7
#>  [9181,]    1    1    2    3    3    4    5    4    4
#>  [9182,]    1    2    3    3    1    4    5    6    7
#>  [9183,]    1    1    1    1    2    3    3    3    3
#>  [9184,]    1    1    2    2    2    3    3    3    3
#>  [9185,]    1    1    1    2    3    4    4    4    4
#>  [9186,]    1    2    3    3    3    4    5    5    5
#>  [9187,]    1    1    2    2    3    4    4    4    5
#>  [9188,]    1    2    2    2    3    4    4    4    4
#>  [9189,]    1    2    2    3    1    4    4    4    4
#>  [9190,]    1    2    3    4    3    5    5    5    6
#>  [9191,]    1    2    3    4    3    5    6    6    7
#>  [9192,]    1    2    3    3    3    4    5    6    7
#>  [9193,]    1    2    2    3    2    4    5    4    6
#>  [9194,]    1    1    2    3    2    4    5    6    7
#>  [9195,]    1    2    3    4    5    6    7    8    6
#>  [9196,]    1    2    3    4    1    5    6    7    5
#>  [9197,]    1    2    2    3    2    4    5    6    7
#>  [9198,]    1    2    1    2    2    3    4    3    4
#>  [9199,]    1    2    2    3    4    5    5    6    6
#>  [9200,]    1    2    2    3    4    5    6    7    8
#>  [9201,]    1    2    1    3    4    5    6    7    8
#>  [9202,]    1    2    3    1    4    5    6    7    8
#>  [9203,]    1    2    3    3    2    4    5    6    7
#>  [9204,]    1    2    3    1    4    5    6    7    6
#>  [9205,]    1    2    3    4    3    5    6    7    7
#>  [9206,]    1    2    3    4    5    6    7    7    7
#>  [9207,]    1    2    3    4    5    6    7    7    8
#>  [9208,]    1    2    3    4    3    5    6    7    8
#>  [9209,]    1    2    3    4    5    6    7    8    6
#>  [9210,]    1    2    3    3    4    5    6    7    8
#>  [9211,]    1    2    3    4    5    6    7    8    9
#>  [9212,]    1    2    3    3    1    4    5    6    7
#>  [9213,]    1    1    1    1    1    2    3    3    4
#>  [9214,]    1    1    2    2    2    3    4    3    5
#>  [9215,]    1    1    1    2    1    3    4    3    5
#>  [9216,]    1    1    1    1    1    2    3    4    4
#>  [9217,]    1    2    3    4    5    6    7    7    7
#>  [9218,]    1    2    2    3    4    5    6    6    7
#>  [9219,]    1    2    2    3    2    4    4    4    5
#>  [9220,]    1    2    3    4    5    6    6    7    8
#>  [9221,]    1    1    2    3    4    5    6    7    8
#>  [9222,]    1    2    1    3    1    4    5    6    5
#>  [9223,]    1    1    2    1    1    3    3    3    3
#>  [9224,]    1    2    2    3    2    4    4    4    4
#>  [9225,]    1    2    3    2    2    4    4    4    4
#>  [9226,]    1    1    1    1    1    2    2    2    2
#>  [9227,]    1    1    2    1    2    3    3    4    3
#>  [9228,]    1    2    1    1    1    3    4    3    3
#>  [9229,]    1    1    1    1    1    2    2    2    2
#>  [9230,]    1    1    1    1    1    2    2    2    2
#>  [9231,]    1    1    1    1    1    2    3    2    3
#>  [9232,]    1    2    1    1    1    3    3    3    3
#>  [9233,]    1    1    1    1    1    2    3    4    5
#>  [9234,]    1    2    1    2    1    3    4    4    4
#>  [9235,]    1    1    1    1    1    2    3    3    3
#>  [9236,]    1    1    1    1    1    2    2    2    2
#>  [9237,]    1    1    1    1    1    2    2    2    2
#>  [9238,]    1    1    1    1    1    2    2    2    2
#>  [9239,]    1    2    1    1    1    3    3    3    3
#>  [9240,]    1    1    1    2    2    2    3    4    4
#>  [9241,]    1    1    2    2    2    3    4    5    6
#>  [9242,]    1    1    1    1    1    2    2    3    3
#>  [9243,]    1    1    1    1    1    2    2    2    2
#>  [9244,]    1    2    3    4    2    5    6    5    5
#>  [9245,]    1    2    3    3    3    4    5    6    6
#>  [9246,]    1    1    1    1    1    2    3    3    4
#>  [9247,]    1    2    3    1    1    4    4    4    5
#>  [9248,]    1    2    3    2    3    4    5    5    6
#>  [9249,]    1    2    3    4    5    6    7    7    7
#>  [9250,]    1    2    3    4    3    5    5    5    5
#>  [9251,]    1    1    2    3    2    4    5    5    5
#>  [9252,]    1    2    3    1    1    4    5    6    7
#>  [9253,]    1    2    3    2    4    5    6    6    7
#>  [9254,]    1    2    2    3    3    4    5    6    6
#>  [9255,]    1    2    2    3    3    4    5    4    6
#>  [9256,]    1    2    3    1    3    4    5    6    7
#>  [9257,]    1    2    2    2    2    3    4    5    5
#>  [9258,]    1    2    2    2    1    3    4    5    3
#>  [9259,]    1    2    2    3    4    5    5    6    7
#>  [9260,]    1    2    2    3    3    4    5    6    4
#>  [9261,]    1    2    3    2    2    4    5    6    7
#>  [9262,]    1    2    2    2    3    4    5    5    5
#>  [9263,]    1    1    2    1    1    3    4    4    4
#>  [9264,]    1    2    3    3    3    4    5    5    5
#>  [9265,]    1    2    2    2    2    3    3    4    3
#>  [9266,]    1    1    2    1    3    4    4    4    4
#>  [9267,]    1    1    2    3    4    5    6    5    7
#>  [9268,]    1    2    2    3    2    4    5    6    7
#>  [9269,]    1    2    3    4    5    6    7    8    6
#>  [9270,]    1    2    3    4    1    5    6    6    6
#>  [9271,]    1    1    2    2    3    4    5    6    4
#>  [9272,]    1    1    1    1    2    3    4    3    3
#>  [9273,]    1    2    1    1    1    3    4    3    5
#>  [9274,]    1    2    3    1    3    4    4    4    5
#>  [9275,]    1    2    1    3    4    5    6    5    6
#>  [9276,]    1    2    3    4    4    5    6    6    7
#>  [9277,]    1    2    3    2    2    4    5    6    7
#>  [9278,]    1    2    3    4    4    5    6    6    7
#>  [9279,]    1    2    3    2    4    5    5    5    5
#>  [9280,]    1    2    3    1    3    4    5    6    5
#>  [9281,]    1    2    1    1    3    3    3    4    4
#>  [9282,]    1    1    2    1    1    3    3    4    5
#>  [9283,]    1    1    2    1    1    3    4    5    6
#>  [9284,]    1    2    3    2    4    5    6    7    5
#>  [9285,]    1    1    2    2    2    3    4    5    4
#>  [9286,]    1    2    2    2    3    4    5    6    7
#>  [9287,]    1    2    2    2    1    3    4    5    6
#>  [9288,]    1    1    1    2    2    3    4    5    5
#>  [9289,]    1    2    3    2    4    5    6    6    7
#>  [9290,]    1    1    2    3    4    5    5    5    6
#>  [9291,]    1    1    2    1    1    3    4    4    5
#>  [9292,]    1    2    1    3    1    4    5    6    5
#>  [9293,]    1    2    3    4    5    6    7    7    8
#>  [9294,]    1    2    3    4    4    5    6    7    8
#>  [9295,]    1    2    3    2    4    5    6    7    7
#>  [9296,]    1    1    2    3    4    5    6    7    8
#>  [9297,]    1    2    3    3    3    4    5    6    6
#>  [9298,]    1    2    1    3    4    5    6    7    8
#>  [9299,]    1    2    3    4    4    5    6    6    7
#>  [9300,]    1    2    3    4    2    5    6    6    7
#>  [9301,]    1    2    3    3    1    4    5    5    6
#>  [9302,]    1    2    3    2    4    5    6    7    7
#>  [9303,]    1    2    2    3    4    5    6    5    6
#>  [9304,]    1    2    3    4    5    6    7    8    6
#>  [9305,]    1    1    2    3    4    5    6    7    8
#>  [9306,]    1    2    1    1    3    4    5    6    7
#>  [9307,]    1    2    3    4    5    6    7    8    7
#>  [9308,]    1    2    3    4    5    6    7    7    8
#>  [9309,]    1    2    2    2    3    4    4    5    6
#>  [9310,]    1    2    1    3    4    5    6    7    8
#>  [9311,]    1    2    3    2    4    5    6    7    6
#>  [9312,]    1    1    2    3    1    4    5    4    6
#>  [9313,]    1    2    3    3    4    5    6    7    8
#>  [9314,]    1    2    3    2    3    4    5    5    6
#>  [9315,]    1    2    1    1    1    3    4    3    3
#>  [9316,]    1    1    1    1    1    2    2    2    2
#>  [9317,]    1    2    2    1    1    3    4    4    3
#>  [9318,]    1    2    1    1    1    3    3    4    4
#>  [9319,]    1    1    1    2    2    3    3    3    3
#>  [9320,]    1    1    2    2    2    3    4    4    4
#>  [9321,]    1    1    1    1    1    2    2    2    2
#>  [9322,]    1    1    1    1    1    2    2    2    2
#>  [9323,]    1    1    1    1    1    2    2    2    2
#>  [9324,]    1    2    2    2    1    3    3    3    3
#>  [9325,]    1    1    1    1    1    2    2    2    2
#>  [9326,]    1    1    1    1    1    2    2    2    3
#>  [9327,]    1    1    1    2    1    3    4    5    4
#>  [9328,]    1    2    2    1    1    3    4    5    5
#>  [9329,]    1    1    1    1    1    2    3    2    4
#>  [9330,]    1    2    1    1    1    3    3    3    4
#>  [9331,]    1    2    3    4    5    6    7    8    8
#>  [9332,]    1    2    1    2    3    4    5    6    7
#>  [9333,]    1    1    2    3    4    5    6    7    7
#>  [9334,]    1    2    3    4    2    5    6    7    8
#>  [9335,]    1    2    3    4    4    5    5    6    7
#>  [9336,]    1    2    2    2    3    4    4    5    6
#>  [9337,]    1    2    2    3    4    5    6    5    5
#>  [9338,]    1    1    2    3    4    5    5    6    7
#>  [9339,]    1    2    3    3    4    5    6    7    8
#>  [9340,]    1    2    3    2    3    4    5    5    6
#>  [9341,]    1    2    2    3    4    5    6    5    7
#>  [9342,]    1    2    3    3    4    5    6    6    6
#>  [9343,]    1    2    3    4    5    6    7    8    9
#>  [9344,]    1    2    2    3    4    5    6    7    6
#>  [9345,]    1    2    2    3    3    4    4    5    6
#>  [9346,]    1    2    3    4    2    5    6    7    8
#>  [9347,]    1    2    3    4    5    6    7    8    9
#>  [9348,]    1    2    3    4    4    5    6    7    6
#>  [9349,]    1    2    3    2    4    5    6    7    8
#>  [9350,]    1    2    3    4    5    6    7    8    9
#>  [9351,]    1    2    3    1    4    5    4    6    7
#>  [9352,]    1    2    3    4    2    5    6    5    7
#>  [9353,]    1    2    1    1    3    4    5    5    6
#>  [9354,]    1    1    2    3    2    4    5    6    7
#>  [9355,]    1    2    3    4    3    5    6    7    8
#>  [9356,]    1    2    3    4    4    5    6    7    8
#>  [9357,]    1    1    2    3    4    5    6    6    7
#>  [9358,]    1    2    3    4    3    5    6    6    7
#>  [9359,]    1    2    3    2    4    5    6    7    8
#>  [9360,]    1    2    2    2    3    4    5    6    7
#>  [9361,]    1    2    2    3    2    4    5    6    4
#>  [9362,]    1    1    2    1    1    3    4    5    5
#>  [9363,]    1    1    1    1    2    3    4    4    5
#>  [9364,]    1    1    1    2    2    3    4    5    6
#>  [9365,]    1    1    2    2    2    3    4    4    5
#>  [9366,]    1    1    1    1    1    2    2    3    2
#>  [9367,]    1    1    1    1    1    2    3    2    3
#>  [9368,]    1    2    1    1    1    3    3    3    3
#>  [9369,]    1    2    2    2    3    4    5    4    4
#>  [9370,]    1    1    2    1    1    3    4    4    4
#>  [9371,]    1    1    1    1    1    2    3    3    3
#>  [9372,]    1    1    1    1    1    2    3    3    3
#>  [9373,]    1    1    1    1    2    3    3    3    3
#>  [9374,]    1    1    1    1    1    2    2    2    2
#>  [9375,]    1    1    1    1    2    3    4    4    3
#>  [9376,]    1    2    1    1    1    3    3    3    3
#>  [9377,]    1    2    3    3    3    4    5    4    4
#>  [9378,]    1    1    1    2    2    3    4    4    3
#>  [9379,]    1    2    1    3    3    4    5    4    4
#>  [9380,]    1    2    3    3    4    5    5    5    5
#>  [9381,]    1    2    3    3    2    4    4    5    6
#>  [9382,]    1    1    1    2    2    3    4    4    5
#>  [9383,]    1    2    1    2    3    4    4    5    6
#>  [9384,]    1    2    3    3    3    4    5    4    5
#>  [9385,]    1    2    2    2    1    3    3    3    4
#>  [9386,]    1    1    1    2    1    3    3    3    3
#>  [9387,]    1    1    2    3    2    4    4    5    4
#>  [9388,]    1    2    2    2    2    3    4    5    3
#>  [9389,]    1    2    3    2    3    4    5    5    6
#>  [9390,]    1    2    2    1    3    4    5    6    7
#>  [9391,]    1    2    1    3    2    4    4    5    5
#>  [9392,]    1    1    1    2    1    3    4    4    5
#>  [9393,]    1    1    1    1    1    2    2    3    2
#>  [9394,]    1    2    1    3    1    4    5    6    7
#>  [9395,]    1    2    3    4    4    5    6    7    8
#>  [9396,]    1    2    1    1    3    4    5    4    6
#>  [9397,]    1    2    1    3    4    5    5    6    6
#>  [9398,]    1    2    3    4    5    6    7    8    9
#>  [9399,]    1    2    2    3    4    5    6    7    8
#>  [9400,]    1    2    3    4    5    6    7    8    6
#>  [9401,]    1    2    1    3    4    5    6    7    5
#>  [9402,]    1    2    2    3    4    5    6    7    5
#>  [9403,]    1    2    3    4    4    5    6    6    6
#>  [9404,]    1    2    3    4    5    6    7    6    7
#>  [9405,]    1    2    2    2    3    4    4    4    4
#>  [9406,]    1    2    1    2    2    3    3    3    3
#>  [9407,]    1    1    1    1    2    3    4    4    4
#>  [9408,]    1    2    3    4    3    5    6    6    7
#>  [9409,]    1    1    2    3    4    5    5    6    6
#>  [9410,]    1    1    2    1    2    3    4    4    4
#>  [9411,]    1    1    1    1    1    2    3    2    2
#>  [9412,]    1    1    1    1    1    2    3    3    3
#>  [9413,]    1    1    1    1    1    2    3    3    3
#>  [9414,]    1    1    1    1    1    2    3    2    3
#>  [9415,]    1    1    1    1    1    2    2    2    3
#>  [9416,]    1    1    1    1    1    2    3    2    4
#>  [9417,]    1    1    1    1    1    2    3    4    4
#>  [9418,]    1    2    1    3    4    5    6    7    8
#>  [9419,]    1    2    3    1    1    4    5    6    4
#>  [9420,]    1    2    3    4    4    5    6    7    8
#>  [9421,]    1    2    3    4    5    6    7    6    8
#>  [9422,]    1    2    3    4    5    6    7    8    8
#>  [9423,]    1    2    3    4    5    6    7    8    9
#>  [9424,]    1    2    3    4    5    6    7    6    8
#>  [9425,]    1    2    2    3    4    5    6    7    8
#>  [9426,]    1    1    2    3    2    4    5    6    7
#>  [9427,]    1    2    3    3    4    5    5    6    7
#>  [9428,]    1    2    1    3    3    4    5    5    5
#>  [9429,]    1    2    3    4    5    6    6    7    8
#>  [9430,]    1    2    3    4    5    6    7    8    9
#>  [9431,]    1    2    3    4    5    6    7    8    8
#>  [9432,]    1    2    3    4    5    6    7    7    8
#>  [9433,]    1    2    3    3    4    5    6    7    6
#>  [9434,]    1    2    1    2    3    4    5    6    6
#>  [9435,]    1    2    2    3    3    4    5    5    5
#>  [9436,]    1    2    3    2    2    4    4    4    5
#>  [9437,]    1    1    1    2    1    3    3    3    4
#>  [9438,]    1    1    2    2    1    3    4    4    4
#>  [9439,]    1    2    3    1    1    4    5    6    5
#>  [9440,]    1    1    2    2    3    4    5    4    4
#>  [9441,]    1    2    3    2    4    5    6    7    7
#>  [9442,]    1    2    3    4    5    6    7    7    7
#>  [9443,]    1    2    3    4    5    6    7    8    9
#>  [9444,]    1    2    1    1    1    3    4    3    5
#>  [9445,]    1    2    3    3    4    5    6    5    5
#>  [9446,]    1    1    2    3    4    5    6    6    6
#>  [9447,]    1    2    3    1    4    5    5    5    5
#>  [9448,]    1    2    3    4    3    5    5    5    5
#>  [9449,]    1    1    2    2    3    4    5    5    5
#>  [9450,]    1    2    3    1    3    4    5    6    6
#>  [9451,]    1    2    2    3    4    5    6    6    6
#>  [9452,]    1    2    3    4    2    5    5    5    5
#>  [9453,]    1    2    3    3    4    5    6    7    6
#>  [9454,]    1    2    2    2    2    3    3    4    3
#>  [9455,]    1    1    1    2    3    4    5    6    5
#>  [9456,]    1    1    2    1    3    4    5    5    6
#>  [9457,]    1    2    3    4    5    6    7    7    8
#>  [9458,]    1    2    3    4    5    6    7    7    8
#>  [9459,]    1    2    3    4    5    6    7    8    9
#>  [9460,]    1    2    3    4    5    6    7    7    7
#>  [9461,]    1    2    3    4    5    6    7    8    9
#>  [9462,]    1    2    3    4    3    5    6    7    8
#>  [9463,]    1    2    1    1    3    4    5    5    6
#>  [9464,]    1    2    3    3    1    4    4    4    5
#>  [9465,]    1    1    2    1    1    3    4    5    4
#>  [9466,]    1    2    3    1    3    4    5    4    6
#>  [9467,]    1    1    1    2    1    3    4    5    4
#>  [9468,]    1    1    2    2    3    4    4    4    4
#>  [9469,]    1    2    3    2    3    4    4    4    4
#>  [9470,]    1    2    1    3    1    4    4    4    4
#>  [9471,]    1    1    1    2    1    3    4    4    4
#>  [9472,]    1    2    3    1    1    4    5    5    6
#>  [9473,]    1    2    2    1    1    3    4    3    3
#>  [9474,]    1    1    2    2    3    4    4    4    4
#>  [9475,]    1    2    1    3    3    4    5    5    6
#>  [9476,]    1    2    3    4    3    5    6    6    7
#>  [9477,]    1    1    1    1    2    3    3    3    4
#>  [9478,]    1    2    1    3    4    5    6    5    5
#>  [9479,]    1    2    3    4    5    6    7    7    7
#>  [9480,]    1    2    3    4    2    5    5    5    5
#>  [9481,]    1    2    1    2    3    4    5    5    6
#>  [9482,]    1    2    1    3    1    4    5    5    5
#>  [9483,]    1    2    2    2    3    4    5    5    5
#>  [9484,]    1    2    2    1    1    3    4    3    3
#>  [9485,]    1    2    1    2    2    3    4    3    5
#>  [9486,]    1    2    2    3    4    5    6    7    8
#>  [9487,]    1    2    3    4    5    6    7    8    9
#>  [9488,]    1    2    1    3    4    5    6    7    8
#>  [9489,]    1    1    2    3    4    5    6    7    8
#>  [9490,]    1    2    3    4    5    6    7    8    9
#>  [9491,]    1    2    3    4    5    6    7    8    9
#>  [9492,]    1    2    3    3    4    5    6    5    6
#>  [9493,]    1    2    3    2    1    4    5    6    4
#>  [9494,]    1    2    3    4    4    5    5    6    5
#>  [9495,]    1    2    2    2    2    3    4    5    6
#>  [9496,]    1    1    1    1    1    2    3    3    4
#>  [9497,]    1    1    1    1    1    2    3    3    4
#>  [9498,]    1    1    2    2    2    3    4    5    6
#>  [9499,]    1    2    1    3    1    4    4    5    6
#>  [9500,]    1    2    1    3    4    5    5    5    6
#>  [9501,]    1    2    3    4    5    6    7    8    9
#>  [9502,]    1    2    3    4    4    5    6    7    8
#>  [9503,]    1    2    3    4    5    6    7    8    9
#>  [9504,]    1    2    3    4    5    6    7    8    8
#>  [9505,]    1    2    3    4    5    6    7    8    9
#>  [9506,]    1    2    3    4    5    6    7    8    9
#>  [9507,]    1    2    3    2    1    4    5    6    7
#>  [9508,]    1    2    3    4    5    6    7    8    9
#>  [9509,]    1    1    2    3    4    5    6    7    8
#>  [9510,]    1    2    1    1    3    4    5    6    7
#>  [9511,]    1    2    3    3    4    5    6    7    6
#>  [9512,]    1    2    3    4    5    6    7    8    7
#>  [9513,]    1    2    3    4    4    5    5    5    6
#>  [9514,]    1    2    2    2    3    4    5    6    6
#>  [9515,]    1    2    3    4    1    5    5    6    6
#>  [9516,]    1    2    2    3    4    5    6    5    7
#>  [9517,]    1    2    3    4    5    6    7    8    9
#>  [9518,]    1    2    2    3    2    4    5    6    7
#>  [9519,]    1    2    3    4    4    5    6    5    7
#>  [9520,]    1    1    2    2    1    3    4    5    5
#>  [9521,]    1    2    1    3    3    4    5    6    7
#>  [9522,]    1    1    2    3    3    4    4    5    6
#>  [9523,]    1    1    1    2    3    4    5    5    6
#>  [9524,]    1    2    2    3    4    5    6    7    7
#>  [9525,]    1    2    1    3    3    4    5    6    6
#>  [9526,]    1    1    2    3    4    5    6    7    8
#>  [9527,]    1    2    2    2    1    3    4    5    6
#>  [9528,]    1    1    2    3    4    5    6    6    6
#>  [9529,]    1    1    2    3    4    5    6    6    7
#>  [9530,]    1    2    3    4    5    6    7    8    9
#>  [9531,]    1    1    2    3    4    5    6    7    8
#>  [9532,]    1    2    2    3    3    4    5    5    5
#>  [9533,]    1    1    2    2    3    4    4    4    4
#>  [9534,]    1    2    3    4    4    5    5    5    5
#>  [9535,]    1    1    2    3    4    5    6    5    5
#>  [9536,]    1    2    3    4    1    5    6    5    5
#>  [9537,]    1    2    2    3    4    5    6    7    8
#>  [9538,]    1    2    3    4    5    6    7    6    8
#>  [9539,]    1    1    2    3    4    5    5    5    6
#>  [9540,]    1    1    2    3    4    5    6    7    7
#>  [9541,]    1    1    2    1    1    3    4    4    4
#>  [9542,]    1    1    2    2    2    3    3    3    3
#>  [9543,]    1    1    2    1    3    4    4    4    4
#>  [9544,]    1    1    1    1    1    2    2    2    2
#>  [9545,]    1    2    2    3    2    4    4    4    4
#>  [9546,]    1    1    2    2    2    3    4    4    5
#>  [9547,]    1    1    1    1    1    2    2    3    4
#>  [9548,]    1    1    1    2    3    4    5    4    6
#>  [9549,]    1    2    3    3    4    5    6    7    7
#>  [9550,]    1    2    2    1    1    3    4    4    5
#>  [9551,]    1    2    3    2    4    5    5    6    7
#>  [9552,]    1    2    3    2    3    4    5    6    6
#>  [9553,]    1    2    3    1    4    5    5    5    5
#>  [9554,]    1    1    2    2    3    4    4    4    4
#>  [9555,]    1    2    3    4    1    5    5    5    5
#>  [9556,]    1    2    3    4    3    5    5    5    5
#>  [9557,]    1    2    2    2    1    3    4    4    3
#>  [9558,]    1    1    2    1    3    4    4    5    5
#>  [9559,]    1    1    1    1    1    2    3    3    3
#>  [9560,]    1    1    1    1    1    2    3    4    3
#>  [9561,]    1    1    2    3    1    4    5    5    4
#>  [9562,]    1    1    2    1    2    3    3    4    3
#>  [9563,]    1    2    1    3    1    4    4    4    4
#>  [9564,]    1    2    1    1    2    3    4    3    5
#>  [9565,]    1    1    2    3    4    5    6    6    7
#>  [9566,]    1    2    3    1    4    5    6    6    6
#>  [9567,]    1    2    2    1    3    4    5    6    7
#>  [9568,]    1    1    2    2    3    4    5    4    6
#>  [9569,]    1    2    3    3    3    4    5    4    6
#>  [9570,]    1    2    1    2    2    3    4    5    6
#>  [9571,]    1    1    1    1    1    2    2    3    2
#>  [9572,]    1    1    1    1    1    2    3    4    4
#>  [9573,]    1    1    1    1    1    2    2    2    2
#>  [9574,]    1    2    2    2    2    3    3    3    3
#>  [9575,]    1    1    1    1    1    2    2    2    2
#>  [9576,]    1    1    2    1    1    3    3    3    4
#>  [9577,]    1    1    1    1    2    3    3    4    3
#>  [9578,]    1    2    2    3    4    5    5    6    6
#>  [9579,]    1    2    3    4    1    5    6    5    5
#>  [9580,]    1    2    3    3    3    4    5    5    4
#>  [9581,]    1    1    1    1    1    2    3    2    2
#>  [9582,]    1    1    1    1    1    2    2    2    2
#>  [9583,]    1    1    1    1    1    2    2    3    3
#>  [9584,]    1    1    1    2    1    3    4    3    3
#>  [9585,]    1    1    1    1    2    3    3    3    3
#>  [9586,]    1    2    3    3    3    4    5    4    4
#>  [9587,]    1    2    2    2    2    3    3    3    3
#>  [9588,]    1    1    1    1    1    2    2    2    2
#>  [9589,]    1    1    1    1    1    2    2    2    2
#>  [9590,]    1    1    1    1    1    2    3    3    3
#>  [9591,]    1    1    1    1    1    2    3    2    4
#>  [9592,]    1    1    1    1    1    2    2    3    4
#>  [9593,]    1    1    1    1    2    3    4    4    5
#>  [9594,]    1    1    2    2    1    3    3    4    3
#>  [9595,]    1    1    1    1    1    2    3    3    3
#>  [9596,]    1    1    1    1    1    2    3    4    5
#>  [9597,]    1    1    1    1    1    2    3    4    3
#>  [9598,]    1    1    1    1    1    2    2    2    2
#>  [9599,]    1    1    2    1    1    3    3    3    3
#>  [9600,]    1    1    2    1    1    3    4    4    4
#>  [9601,]    1    1    2    3    4    5    5    5    5
#>  [9602,]    1    1    1    2    3    4    5    5    4
#>  [9603,]    1    1    1    1    1    2    3    2    2
#>  [9604,]    1    1    2    1    3    4    5    5    5
#>  [9605,]    1    1    1    1    1    2    3    2    4
#>  [9606,]    1    2    3    4    2    5    6    6    6
#>  [9607,]    1    1    2    1    2    3    4    4    4
#>  [9608,]    1    1    2    1    2    3    4    4    4
#>  [9609,]    1    1    1    2    1    3    3    4    4
#>  [9610,]    1    1    1    1    2    3    4    3    5
#>  [9611,]    1    1    2    2    1    3    3    3    3
#>  [9612,]    1    2    3    1    3    4    4    4    4
#>  [9613,]    1    1    2    1    1    3    4    4    4
#>  [9614,]    1    1    2    1    3    4    5    5    5
#>  [9615,]    1    2    3    3    3    4    5    6    6
#>  [9616,]    1    1    1    1    2    3    4    4    4
#>  [9617,]    1    1    2    3    2    4    5    5    4
#>  [9618,]    1    2    2    3    3    4    5    6    6
#>  [9619,]    1    2    1    1    1    3    3    3    3
#>  [9620,]    1    2    2    2    3    4    4    4    5
#>  [9621,]    1    2    3    4    5    6    6    7    8
#>  [9622,]    1    2    2    3    1    4    5    4    4
#>  [9623,]    1    1    2    2    2    3    4    5    4
#>  [9624,]    1    2    2    1    3    4    5    5    6
#>  [9625,]    1    1    2    1    1    3    4    4    5
#>  [9626,]    1    2    2    3    4    5    5    6    7
#>  [9627,]    1    1    1    1    2    3    3    3    3
#>  [9628,]    1    1    1    2    3    4    5    5    5
#>  [9629,]    1    1    2    2    2    3    3    3    3
#>  [9630,]    1    2    1    2    2    3    4    4    4
#>  [9631,]    1    1    1    1    1    2    2    2    2
#>  [9632,]    1    2    2    2    3    4    4    4    4
#>  [9633,]    1    1    1    1    1    2    3    3    3
#>  [9634,]    1    1    2    1    1    3    3    4    3
#>  [9635,]    1    2    2    1    1    3    4    5    6
#>  [9636,]    1    2    1    1    2    3    4    5    3
#>  [9637,]    1    1    2    3    3    4    5    5    5
#>  [9638,]    1    2    2    3    2    4    5    6    5
#>  [9639,]    1    2    1    3    4    5    6    6    6
#>  [9640,]    1    2    1    1    1    3    4    5    4
#>  [9641,]    1    1    2    1    2    3    3    4    3
#>  [9642,]    1    2    1    1    1    3    3    4    3
#>  [9643,]    1    1    2    3    2    4    5    6    5
#>  [9644,]    1    2    2    3    4    5    6    5    5
#>  [9645,]    1    2    2    3    4    5    6    7    5
#>  [9646,]    1    2    3    3    4    5    6    7    8
#>  [9647,]    1    2    1    3    1    4    5    6    5
#>  [9648,]    1    2    3    4    1    5    6    7    8
#>  [9649,]    1    2    3    4    5    6    7    8    7
#>  [9650,]    1    2    3    1    4    5    6    7    8
#>  [9651,]    1    1    2    2    1    3    4    4    4
#>  [9652,]    1    1    1    1    1    2    3    3    3
#>  [9653,]    1    1    1    1    1    2    3    3    3
#>  [9654,]    1    1    1    1    1    2    2    2    2
#>  [9655,]    1    1    1    2    1    3    3    3    4
#>  [9656,]    1    2    2    2    2    3    4    5    4
#>  [9657,]    1    2    2    3    3    4    5    5    6
#>  [9658,]    1    2    3    4    5    6    7    8    6
#>  [9659,]    1    2    3    3    3    4    5    5    5
#>  [9660,]    1    1    1    1    1    2    3    3    4
#>  [9661,]    1    1    1    1    1    2    3    4    4
#>  [9662,]    1    2    1    3    2    4    5    6    4
#>  [9663,]    1    2    1    3    4    5    6    7    8
#>  [9664,]    1    1    2    3    4    5    6    7    8
#>  [9665,]    1    2    3    1    4    5    6    7    8
#>  [9666,]    1    2    1    3    4    5    6    7    8
#>  [9667,]    1    1    2    3    4    5    6    7    8
#>  [9668,]    1    2    3    4    5    6    7    8    7
#>  [9669,]    1    2    3    3    2    4    5    5    5
#>  [9670,]    1    2    2    2    1    3    3    3    3
#>  [9671,]    1    1    2    3    4    5    6    7    6
#>  [9672,]    1    2    3    1    1    4    5    6    7
#>  [9673,]    1    2    1    1    1    3    4    5    4
#>  [9674,]    1    2    3    4    5    6    7    7    7
#>  [9675,]    1    2    2    2    2    3    3    3    3
#>  [9676,]    1    1    1    1    1    2    2    2    3
#>  [9677,]    1    1    1    1    2    3    3    4    4
#>  [9678,]    1    1    1    1    1    2    2    2    2
#>  [9679,]    1    1    1    1    1    2    3    3    3
#>  [9680,]    1    1    1    1    1    2    3    3    4
#>  [9681,]    1    1    1    1    2    3    3    3    4
#>  [9682,]    1    1    1    1    1    2    2    2    2
#>  [9683,]    1    1    1    1    1    2    2    2    2
#>  [9684,]    1    1    2    2    1    3    3    4    3
#>  [9685,]    1    1    2    3    4    5    6    6    6
#>  [9686,]    1    1    2    2    1    3    4    4    4
#>  [9687,]    1    2    2    3    4    5    6    5    7
#>  [9688,]    1    2    3    4    4    5    6    7    8
#>  [9689,]    1    1    2    3    1    4    5    6    7
#>  [9690,]    1    2    1    3    3    4    5    6    4
#>  [9691,]    1    2    1    2    3    4    4    5    6
#>  [9692,]    1    2    3    4    5    6    7    8    7
#>  [9693,]    1    2    3    4    2    5    6    7    8
#>  [9694,]    1    2    1    3    4    5    6    7    7
#>  [9695,]    1    2    1    3    3    4    5    5    4
#>  [9696,]    1    2    1    2    2    3    4    5    6
#>  [9697,]    1    2    3    4    5    6    6    6    6
#>  [9698,]    1    2    1    1    1    3    3    3    4
#>  [9699,]    1    2    2    2    3    4    4    5    6
#>  [9700,]    1    2    2    3    4    5    6    7    6
#>  [9701,]    1    1    2    3    4    5    6    7    8
#>  [9702,]    1    2    3    4    5    6    7    8    9
#>  [9703,]    1    2    3    4    4    5    6    7    7
#>  [9704,]    1    1    2    3    1    4    5    5    6
#>  [9705,]    1    2    2    3    3    4    5    6    7
#>  [9706,]    1    2    1    3    1    4    4    4    5
#>  [9707,]    1    2    2    1    3    4    5    4    6
#>  [9708,]    1    2    2    3    4    5    6    7    5
#>  [9709,]    1    2    2    2    2    3    4    5    3
#>  [9710,]    1    2    2    1    2    3    4    3    3
#>  [9711,]    1    2    3    4    5    6    7    8    9
#>  [9712,]    1    2    2    3    2    4    5    6    7
#>  [9713,]    1    1    1    2    3    4    5    6    7
#>  [9714,]    1    2    1    3    1    4    5    6    7
#>  [9715,]    1    2    3    3    3    4    5    6    7
#>  [9716,]    1    2    3    4    5    6    7    8    9
#>  [9717,]    1    2    3    4    5    6    7    8    9
#>  [9718,]    1    2    3    4    5    6    7    8    9
#>  [9719,]    1    2    3    4    5    6    7    8    9
#>  [9720,]    1    1    2    3    4    5    6    7    8
#>  [9721,]    1    2    3    4    3    5    6    7    5
#>  [9722,]    1    2    3    4    5    6    7    8    9
#>  [9723,]    1    1    2    3    4    5    6    7    8
#>  [9724,]    1    2    3    4    5    6    6    7    8
#>  [9725,]    1    1    2    3    4    5    6    6    7
#>  [9726,]    1    2    3    2    3    4    4    5    5
#>  [9727,]    1    1    1    1    1    2    2    2    2
#>  [9728,]    1    2    1    2    2    3    3    3    3
#>  [9729,]    1    1    1    2    1    3    3    3    3
#>  [9730,]    1    2    3    1    4    5    6    7    8
#>  [9731,]    1    2    1    2    1    3    4    5    4
#>  [9732,]    1    1    1    1    1    2    2    2    2
#>  [9733,]    1    1    2    1    1    3    3    4    3
#>  [9734,]    1    1    1    1    1    2    2    3    2
#>  [9735,]    1    2    2    1    2    3    4    5    5
#>  [9736,]    1    1    2    3    2    4    5    4    6
#>  [9737,]    1    2    2    2    3    4    4    5    6
#>  [9738,]    1    1    2    3    4    5    6    5    7
#>  [9739,]    1    1    1    1    2    3    4    5    3
#>  [9740,]    1    1    2    3    3    4    5    6    7
#>  [9741,]    1    2    3    1    1    4    5    6    5
#>  [9742,]    1    2    1    2    3    4    4    4    4
#>  [9743,]    1    1    2    3    1    4    4    4    4
#>  [9744,]    1    2    3    2    4    5    5    5    6
#>  [9745,]    1    2    2    3    4    5    6    7    8
#>  [9746,]    1    2    2    3    4    5    6    7    8
#>  [9747,]    1    2    3    4    5    6    7    8    7
#>  [9748,]    1    2    3    4    5    6    7    8    9
#>  [9749,]    1    1    1    2    2    3    4    5    4
#>  [9750,]    1    1    1    2    2    3    3    3    3
#>  [9751,]    1    2    1    3    3    4    5    4    6
#>  [9752,]    1    1    1    1    1    2    3    4    5
#>  [9753,]    1    2    2    1    2    3    4    5    5
#>  [9754,]    1    1    1    1    2    3    4    5    6
#>  [9755,]    1    1    1    1    2    3    4    5    4
#>  [9756,]    1    1    2    1    1    3    4    5    6
#>  [9757,]    1    2    1    3    1    4    5    5    5
#>  [9758,]    1    1    1    1    2    3    3    4    5
#>  [9759,]    1    1    1    2    1    3    3    3    3
#>  [9760,]    1    1    1    1    1    2    3    3    3
#>  [9761,]    1    1    2    2    3    4    5    5    6
#>  [9762,]    1    1    1    2    3    4    5    5    5
#>  [9763,]    1    2    1    1    1    3    3    3    3
#>  [9764,]    1    2    2    1    1    3    4    3    3
#>  [9765,]    1    2    2    2    2    3    3    3    3
#>  [9766,]    1    2    2    2    2    3    3    3    3
#>  [9767,]    1    2    2    2    2    3    3    3    3
#>  [9768,]    1    1    1    1    1    2    2    2    2
#>  [9769,]    1    1    1    1    1    2    2    2    2
#>  [9770,]    1    1    1    1    1    2    2    2    2
#>  [9771,]    1    1    1    1    1    2    2    2    2
#>  [9772,]    1    1    1    1    1    2    2    2    2
#>  [9773,]    1    1    1    1    1    2    2    2    2
#>  [9774,]    1    1    2    1    1    3    3    3    3
#>  [9775,]    1    1    1    1    1    2    2    2    2
#>  [9776,]    1    1    1    1    1    2    2    2    2
#>  [9777,]    1    1    1    1    2    3    3    3    3
#>  [9778,]    1    2    1    1    1    3    4    4    4
#>  [9779,]    1    1    1    1    1    2    3    4    5
#>  [9780,]    1    1    1    1    1    2    3    3    4
#>  [9781,]    1    2    2    2    2    3    3    3    4
#>  [9782,]    1    1    1    1    1    2    3    3    2
#>  [9783,]    1    1    1    2    1    3    4    4    4
#>  [9784,]    1    1    1    1    1    2    3    2    3
#>  [9785,]    1    1    1    1    1    2    2    2    2
#>  [9786,]    1    1    1    1    1    2    2    2    2
#>  [9787,]    1    1    1    1    1    2    2    2    2
#>  [9788,]    1    1    1    1    1    2    2    3    4
#>  [9789,]    1    2    1    3    1    4    4    4    4
#>  [9790,]    1    1    1    2    1    3    3    3    3
#>  [9791,]    1    1    1    2    1    3    4    3    3
#>  [9792,]    1    1    1    2    3    4    5    4    4
#>  [9793,]    1    2    3    3    1    4    4    5    4
#>  [9794,]    1    2    2    3    4    5    6    6    6
#>  [9795,]    1    1    2    2    2    3    4    4    4
#>  [9796,]    1    2    2    2    3    4    5    5    5
#>  [9797,]    1    2    3    4    3    5    6    5    7
#>  [9798,]    1    1    1    2    1    3    4    5    6
#>  [9799,]    1    2    2    3    4    5    6    5    7
#>  [9800,]    1    2    3    4    2    5    6    7    8
#>  [9801,]    1    2    3    4    5    6    7    8    9
#>  [9802,]    1    2    1    1    1    3    4    5    3
#>  [9803,]    1    2    1    3    3    4    5    6    6
#>  [9804,]    1    2    1    3    4    5    6    6    5
#>  [9805,]    1    2    1    3    4    5    6    7    8
#>  [9806,]    1    2    3    4    5    6    7    7    7
#>  [9807,]    1    2    3    4    5    6    7    8    8
#>  [9808,]    1    2    3    4    3    5    6    7    8
#>  [9809,]    1    2    3    4    3    5    6    7    8
#>  [9810,]    1    2    2    3    3    4    5    6    5
#>  [9811,]    1    2    2    3    4    5    6    7    8
#>  [9812,]    1    2    3    3    4    5    6    7    8
#>  [9813,]    1    2    2    3    4    5    6    7    7
#>  [9814,]    1    2    3    4    5    6    7    7    8
#>  [9815,]    1    2    3    4    5    6    7    8    8
#>  [9816,]    1    2    3    4    5    6    7    8    9
#>  [9817,]    1    2    3    4    5    6    7    8    9
#>  [9818,]    1    2    3    4    4    5    6    5    7
#>  [9819,]    1    2    3    4    5    6    7    8    9
#>  [9820,]    1    2    3    4    5    6    7    8    9
#>  [9821,]    1    2    3    4    5    6    7    8    9
#>  [9822,]    1    1    2    1    2    3    4    5    6
#>  [9823,]    1    1    2    3    4    5    6    7    8
#>  [9824,]    1    2    3    4    5    6    7    8    9
#>  [9825,]    1    2    3    2    4    5    6    7    8
#>  [9826,]    1    1    2    2    3    4    5    4    4
#>  [9827,]    1    2    1    3    2    4    5    5    6
#>  [9828,]    1    1    1    1    1    2    3    4    5
#>  [9829,]    1    2    3    2    4    5    6    7    6
#>  [9830,]    1    2    3    3    3    4    5    5    6
#>  [9831,]    1    2    3    4    5    6    7    8    9
#>  [9832,]    1    2    3    4    4    5    6    6    7
#>  [9833,]    1    2    3    1    1    4    5    6    5
#>  [9834,]    1    1    2    3    3    4    5    5    6
#>  [9835,]    1    2    3    4    2    5    6    7    6
#>  [9836,]    1    2    3    4    2    5    6    7    6
#>  [9837,]    1    2    3    4    5    6    7    7    7
#>  [9838,]    1    2    3    2    2    4    5    5    5
#>  [9839,]    1    1    2    1    1    3    3    3    4
#>  [9840,]    1    2    1    1    1    3    3    3    3
#>  [9841,]    1    1    1    1    1    2    2    2    2
#>  [9842,]    1    1    1    1    1    2    2    2    2
#>  [9843,]    1    1    2    1    3    4    5    5    5
#>  [9844,]    1    1    2    3    2    4    4    4    4
#>  [9845,]    1    2    2    2    2    3    3    3    3
#>  [9846,]    1    1    2    1    1    3    4    4    5
#>  [9847,]    1    1    2    1    1    3    4    5    3
#>  [9848,]    1    1    2    1    3    4    5    6    5
#>  [9849,]    1    1    2    3    4    5    6    6    7
#>  [9850,]    1    2    1    2    3    4    5    6    6
#>  [9851,]    1    2    3    3    3    4    5    6    7
#>  [9852,]    1    2    1    2    3    4    5    6    7
#>  [9853,]    1    2    3    4    5    6    7    8    9
#>  [9854,]    1    2    3    1    1    4    5    5    5
#>  [9855,]    1    1    2    3    3    4    5    6    7
#>  [9856,]    1    2    3    3    4    5    6    7    8
#>  [9857,]    1    1    1    2    3    4    4    4    5
#>  [9858,]    1    1    2    1    2    3    4    4    4
#>  [9859,]    1    1    2    2    2    3    4    4    4
#>  [9860,]    1    1    1    1    2    3    3    4    5
#>  [9861,]    1    1    1    2    3    4    5    5    5
#>  [9862,]    1    2    3    4    2    5    6    7    8
#>  [9863,]    1    2    1    1    1    3    3    4    4
#>  [9864,]    1    1    2    1    1    3    4    4    5
#>  [9865,]    1    1    2    3    1    4    5    6    7
#>  [9866,]    1    2    2    2    3    4    5    4    5
#>  [9867,]    1    2    2    1    2    3    4    3    5
#>  [9868,]    1    2    1    2    2    3    4    5    5
#>  [9869,]    1    2    3    2    1    4    5    6    5
#>  [9870,]    1    1    2    1    1    3    4    4    5
#>  [9871,]    1    2    2    3    1    4    5    5    6
#>  [9872,]    1    1    2    2    3    4    5    5    6
#>  [9873,]    1    2    1    2    3    4    4    5    4
#>  [9874,]    1    1    1    1    2    3    3    4    3
#>  [9875,]    1    2    2    3    4    5    6    7    8
#>  [9876,]    1    2    2    2    3    4    5    6    7
#>  [9877,]    1    2    3    2    4    5    6    7    6
#>  [9878,]    1    1    1    2    1    3    4    5    4
#>  [9879,]    1    2    3    4    5    6    6    7    6
#>  [9880,]    1    2    3    4    3    5    6    7    8
#>  [9881,]    1    1    1    1    1    2    3    4    2
#>  [9882,]    1    2    1    1    3    4    5    5    4
#>  [9883,]    1    2    3    2    1    4    5    6    6
#>  [9884,]    1    1    1    2    1    3    3    3    3
#>  [9885,]    1    1    2    3    4    5    6    7    7
#>  [9886,]    1    2    3    4    5    6    7    6    6
#>  [9887,]    1    2    1    3    1    4    5    6    6
#>  [9888,]    1    1    1    1    1    2    3    3    3
#>  [9889,]    1    1    1    1    1    2    3    3    3
#>  [9890,]    1    1    1    1    1    2    2    2    2
#>  [9891,]    1    1    1    1    2    3    4    4    4
#>  [9892,]    1    2    3    4    5    6    7    6    7
#>  [9893,]    1    2    3    1    4    5    6    7    8
#>  [9894,]    1    1    1    2    1    3    4    5    5
#>  [9895,]    1    2    1    3    4    5    6    7    8
#>  [9896,]    1    2    3    4    5    6    7    8    7
#>  [9897,]    1    1    2    3    3    4    4    5    6
#>  [9898,]    1    2    2    3    2    4    5    6    7
#>  [9899,]    1    1    1    1    2    3    4    3    3
#>  [9900,]    1    1    1    2    1    3    3    3    3
#>  [9901,]    1    1    1    2    3    4    4    4    5
#>  [9902,]    1    1    2    2    1    3    3    3    4
#>  [9903,]    1    2    2    1    2    3    3    3    4
#>  [9904,]    1    2    3    1    1    4    4    4    4
#>  [9905,]    1    1    2    1    1    3    3    3    3
#>  [9906,]    1    2    3    3    4    5    6    6    6
#>  [9907,]    1    2    1    1    2    3    4    3    4
#>  [9908,]    1    1    2    3    1    4    4    4    4
#>  [9909,]    1    1    1    1    2    3    3    4    4
#>  [9910,]    1    1    2    1    2    3    4    5    6
#>  [9911,]    1    2    3    3    4    5    5    6    5
#>  [9912,]    1    2    2    2    2    3    4    5    5
#>  [9913,]    1    1    2    1    1    3    3    3    3
#>  [9914,]    1    2    2    2    2    3    4    5    5
#>  [9915,]    1    2    1    2    3    4    5    4    4
#>  [9916,]    1    2    3    4    5    6    6    6    7
#>  [9917,]    1    2    1    3    4    5    5    5    6
#>  [9918,]    1    2    3    3    4    5    5    6    7
#>  [9919,]    1    2    3    4    2    5    6    7    8
#>  [9920,]    1    2    1    3    3    4    5    6    7
#>  [9921,]    1    1    2    1    3    4    5    6    4
#>  [9922,]    1    2    1    1    2    3    4    3    3
#>  [9923,]    1    1    1    1    1    2    2    2    2
#>  [9924,]    1    1    1    1    1    2    3    3    3
#>  [9925,]    1    1    1    2    1    3    4    4    4
#>  [9926,]    1    2    3    2    2    4    5    5    5
#>  [9927,]    1    1    1    1    1    2    3    4    3
#>  [9928,]    1    1    1    1    1    2    3    2    2
#>  [9929,]    1    2    1    2    2    3    4    3    4
#>  [9930,]    1    1    1    1    1    2    3    4    4
#>  [9931,]    1    2    1    1    1    3    3    3    3
#>  [9932,]    1    1    1    1    1    2    2    3    2
#>  [9933,]    1    2    2    2    2    3    3    3    3
#>  [9934,]    1    1    1    1    1    2    3    3    3
#>  [9935,]    1    1    1    1    1    2    3    4    4
#>  [9936,]    1    1    1    1    1    2    2    2    2
#>  [9937,]    1    1    1    1    2    2    3    3    3
#>  [9938,]    1    2    2    2    1    3    4    4    5
#>  [9939,]    1    2    1    2    1    3    4    4    4
#>  [9940,]    1    1    1    1    1    2    3    3    3
#>  [9941,]    1    1    1    1    1    2    3    3    3
#>  [9942,]    1    1    1    1    1    2    2    2    2
#>  [9943,]    1    1    1    2    3    4    4    4    4
#>  [9944,]    1    1    2    3    3    4    4    4    4
#>  [9945,]    1    2    3    1    1    4    5    5    5
#>  [9946,]    1    2    3    2    1    4    4    5    4
#>  [9947,]    1    2    2    1    1    3    3    3    3
#>  [9948,]    1    2    3    4    2    5    5    5    5
#>  [9949,]    1    2    3    1    3    4    4    5    6
#>  [9950,]    1    2    3    1    4    5    6    6    6
#>  [9951,]    1    2    1    1    1    3    3    3    3
#>  [9952,]    1    1    2    1    1    3    3    4    5
#>  [9953,]    1    2    2    1    3    4    5    5    4
#>  [9954,]    1    1    1    2    1    3    4    3    3
#>  [9955,]    1    2    2    2    3    4    5    5    6
#>  [9956,]    1    1    2    2    3    4    4    5    4
#>  [9957,]    1    2    3    4    3    5    5    5    5
#>  [9958,]    1    2    3    4    1    5    5    6    7
#>  [9959,]    1    2    1    1    3    4    5    6    5
#>  [9960,]    1    1    1    1    2    3    4    5    5
#>  [9961,]    1    2    3    4    3    5    6    7    6
#>  [9962,]    1    2    3    2    3    4    4    5    4
#>  [9963,]    1    1    1    1    2    3    4    5    4
#>  [9964,]    1    2    3    1    4    5    6    7    6
#>  [9965,]    1    2    3    1    1    4    5    5    6
#>  [9966,]    1    1    2    1    3    4    4    4    5
#>  [9967,]    1    2    3    4    5    6    6    7    8
#>  [9968,]    1    2    3    1    4    5    6    7    8
#>  [9969,]    1    2    2    3    2    4    5    6    5
#>  [9970,]    1    2    2    3    2    4    5    6    7
#>  [9971,]    1    2    2    3    2    4    5    6    7
#>  [9972,]    1    1    1    1    1    2    2    2    3
#>  [9973,]    1    2    2    2    3    4    5    6    7
#>  [9974,]    1    1    2    3    3    4    5    5    5
#>  [9975,]    1    1    2    3    2    4    4    4    4
#>  [9976,]    1    2    2    3    2    4    4    4    4
#>  [9977,]    1    2    1    1    2    3    3    3    3
#>  [9978,]    1    1    2    3    1    4    4    4    5
#>  [9979,]    1    1    1    1    1    2    3    3    3
#>  [9980,]    1    1    1    1    1    2    2    2    2
#>  [9981,]    1    1    1    1    1    2    3    3    3
#>  [9982,]    1    1    1    1    1    2    3    4    4
#>  [9983,]    1    1    1    1    2    3    4    4    5
#>  [9984,]    1    1    2    3    3    4    5    5    6
#>  [9985,]    1    2    1    3    4    5    6    7    7
#>  [9986,]    1    2    3    4    5    6    7    8    9
#>  [9987,]    1    1    2    3    4    5    6    7    8
#>  [9988,]    1    1    1    1    1    2    3    4    5
#>  [9989,]    1    1    1    2    3    4    5    6    6
#>  [9990,]    1    1    2    3    3    4    5    6    5
#>  [9991,]    1    2    3    2    4    5    5    6    7
#>  [9992,]    1    2    3    4    5    6    7    8    7
#>  [9993,]    1    2    2    3    3    4    5    4    6
#>  [9994,]    1    2    3    4    1    5    6    7    7
#>  [9995,]    1    2    3    3    2    4    4    5    6
#>  [9996,]    1    2    2    2    3    4    5    6    4
#>  [9997,]    1    2    2    2    3    4    5    6    7
#>  [9998,]    1    2    2    3    4    5    6    7    8
#>  [9999,]    1    2    2    1    3    4    5    6    7
#> [10000,]    1    2    2    3    4    5    6    7    8
#> 
#> $alpha_vals
#>                [,1]
#>     [1,]  6.0518234
#>     [2,]  7.1166017
#>     [3,] 14.4529199
#>     [4,]  6.3956918
#>     [5,]  3.3579067
#>     [6,]  5.4559018
#>     [7,]  4.3607674
#>     [8,] 11.9877075
#>     [9,] 11.7619282
#>    [10,] 12.5454410
#>    [11,] 11.8555756
#>    [12,] 10.6689315
#>    [13,]  9.3953331
#>    [14,] 12.6484131
#>    [15,] 21.9988309
#>    [16,] 13.7998142
#>    [17,] 16.3231167
#>    [18,] 16.4539334
#>    [19,]  5.4937292
#>    [20,]  3.0756272
#>    [21,]  2.4137075
#>    [22,]  1.4432611
#>    [23,]  5.3769403
#>    [24,]  6.5150180
#>    [25,]  4.5485052
#>    [26,]  4.4076517
#>    [27,]  5.5341978
#>    [28,]  3.7425926
#>    [29,]  2.8060116
#>    [30,]  5.8914040
#>    [31,]  2.0047614
#>    [32,]  4.4748561
#>    [33,]  3.6294837
#>    [34,]  3.1062776
#>    [35,]  4.7007457
#>    [36,]  7.0402780
#>    [37,]  6.7872174
#>    [38,]  2.5590576
#>    [39,]  4.3882102
#>    [40,]  4.7780289
#>    [41,]  4.6224344
#>    [42,]  2.8383599
#>    [43,]  6.6068822
#>    [44,]  8.6650695
#>    [45,] 13.6974960
#>    [46,] 23.3077505
#>    [47,] 17.8829605
#>    [48,] 40.1743128
#>    [49,] 29.6496070
#>    [50,] 28.0867464
#>    [51,] 15.2858567
#>    [52,] 23.8124551
#>    [53,]  8.3538588
#>    [54,] 13.0623700
#>    [55,] 22.1227663
#>    [56,] 13.3326879
#>    [57,]  4.7989203
#>    [58,]  4.4447271
#>    [59,]  2.2233788
#>    [60,]  4.5155317
#>    [61,]  2.3445092
#>    [62,]  1.0129406
#>    [63,]  6.6708997
#>    [64,]  4.5927697
#>    [65,]  7.7556775
#>    [66,]  7.7458236
#>    [67,]  3.0064739
#>    [68,]  8.4751109
#>    [69,]  5.2732760
#>    [70,]  8.5312904
#>    [71,]  7.7377324
#>    [72,] 14.7367645
#>    [73,] 23.4970739
#>    [74,] 12.8100703
#>    [75,] 13.1904655
#>    [76,]  9.2646771
#>    [77,]  8.1226599
#>    [78,]  7.4347788
#>    [79,]  7.0511600
#>    [80,]  9.9608171
#>    [81,]  4.6728779
#>    [82,]  8.6987259
#>    [83,]  5.4275296
#>    [84,]  5.4625058
#>    [85,]  7.5190884
#>    [86,]  7.4590114
#>    [87,] 10.4029781
#>    [88,]  5.8909680
#>    [89,]  4.0392040
#>    [90,]  4.0178617
#>    [91,]  5.5145496
#>    [92,] 12.1043922
#>    [93,] 17.8872414
#>    [94,]  7.7074270
#>    [95,]  9.3254532
#>    [96,]  5.6874266
#>    [97,]  4.5654459
#>    [98,]  6.6141295
#>    [99,]  7.1107742
#>   [100,]  2.8669286
#>   [101,]  6.1372302
#>   [102,]  4.2040432
#>   [103,] 15.9738679
#>   [104,]  9.7762191
#>   [105,]  8.0006342
#>   [106,] 11.5444390
#>   [107,] 13.7790678
#>   [108,] 15.8924583
#>   [109,] 21.8730372
#>   [110,] 14.5951470
#>   [111,] 27.7364223
#>   [112,] 12.8727910
#>   [113,] 20.0280895
#>   [114,] 41.2219627
#>   [115,] 13.4761083
#>   [116,] 30.6917510
#>   [117,] 25.1785580
#>   [118,] 20.0632616
#>   [119,]  5.5138402
#>   [120,]  7.1318394
#>   [121,]  6.2556423
#>   [122,]  6.8194005
#>   [123,] 12.9072741
#>   [124,] 20.5298007
#>   [125,] 32.9511126
#>   [126,] 41.6460413
#>   [127,] 24.6304298
#>   [128,] 20.3200820
#>   [129,] 17.2667604
#>   [130,] 15.0442151
#>   [131,] 12.0609715
#>   [132,] 10.1711784
#>   [133,] 11.2719115
#>   [134,] 12.1413059
#>   [135,] 10.1151691
#>   [136,]  5.0383397
#>   [137,]  3.6757462
#>   [138,]  6.0630258
#>   [139,]  8.5013197
#>   [140,]  5.5959505
#>   [141,]  1.9202515
#>   [142,]  3.4909884
#>   [143,]  4.8963891
#>   [144,]  2.7375114
#>   [145,]  2.2067310
#>   [146,]  2.4326356
#>   [147,]  5.8281947
#>   [148,]  6.7798007
#>   [149,]  3.4062431
#>   [150,]  3.1328568
#>   [151,]  1.0573813
#>   [152,]  3.2941434
#>   [153,]  1.8664461
#>   [154,]  3.8460649
#>   [155,]  6.7290719
#>   [156,] 19.9817717
#>   [157,] 15.7163241
#>   [158,]  6.7532313
#>   [159,]  7.5208564
#>   [160,] 12.3605738
#>   [161,]  6.0548871
#>   [162,] 11.0027565
#>   [163,] 12.5083066
#>   [164,]  4.6595368
#>   [165,]  7.1999217
#>   [166,]  3.5240164
#>   [167,]  4.3641988
#>   [168,]  7.1804865
#>   [169,]  2.9493492
#>   [170,]  3.3345205
#>   [171,]  3.3951108
#>   [172,]  1.7570128
#>   [173,]  1.9499000
#>   [174,]  0.2247262
#>   [175,]  0.8486903
#>   [176,]  0.7222065
#>   [177,]  1.4657398
#>   [178,]  0.7100538
#>   [179,]  1.3586478
#>   [180,]  4.2328533
#>   [181,]  1.2252332
#>   [182,]  2.0285407
#>   [183,]  1.3875464
#>   [184,]  0.9271210
#>   [185,]  3.3378071
#>   [186,]  1.8640916
#>   [187,]  2.0488068
#>   [188,]  2.6987513
#>   [189,]  2.3335760
#>   [190,]  4.1202117
#>   [191,]  2.1575694
#>   [192,]  6.4378428
#>   [193,] 23.0370320
#>   [194,] 14.8935419
#>   [195,]  9.6387183
#>   [196,] 25.6966358
#>   [197,] 15.4337545
#>   [198,] 18.6388071
#>   [199,] 44.0347049
#>   [200,] 39.1191603
#>   [201,] 16.3893737
#>   [202,] 17.1106723
#>   [203,]  9.7745647
#>   [204,]  4.6799419
#>   [205,]  3.3468825
#>   [206,]  3.0268442
#>   [207,]  1.6557229
#>   [208,]  5.1001058
#>   [209,]  2.3206798
#>   [210,]  2.7894129
#>   [211,]  4.9417427
#>   [212,]  4.7456142
#>   [213,] 10.8672608
#>   [214,]  3.6273501
#>   [215,]  5.0027216
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#>  [1807,] 33.3580645
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#>  [1908,]  4.3861962
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#>  [1911,]  3.5252579
#>  [1912,]  3.8680247
#>  [1913,]  4.6142606
#>  [1914,]  4.5202436
#>  [1915,]  8.7356338
#>  [1916,]  8.7667237
#>  [1917,]  4.2022620
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#>  [1921,]  3.4141557
#>  [1922,] 15.1236111
#>  [1923,]  9.6681322
#>  [1924,] 10.0659782
#>  [1925,] 15.5849747
#>  [1926,]  5.6114059
#>  [1927,]  5.3330443
#>  [1928,]  6.1769007
#>  [1929,] 18.3323124
#>  [1930,] 10.0590032
#>  [1931,] 19.7400982
#>  [1932,]  7.1599183
#>  [1933,] 10.1221062
#>  [1934,]  9.0872208
#>  [1935,] 10.7328585
#>  [1936,]  7.1645720
#>  [1937,]  6.1459507
#>  [1938,]  9.0613772
#>  [1939,] 15.0063690
#>  [1940,]  6.9572924
#>  [1941,]  4.9717200
#>  [1942,]  4.0734105
#>  [1943,]  4.3521819
#>  [1944,]  2.2002046
#>  [1945,]  7.3907090
#>  [1946,]  6.9190268
#>  [1947,]  8.8596117
#>  [1948,]  4.2369111
#>  [1949,]  4.7826486
#>  [1950,]  6.8039754
#>  [1951,]  5.6457098
#>  [1952,]  1.4194980
#>  [1953,]  1.0791484
#>  [1954,]  5.6779630
#>  [1955,]  4.6116659
#>  [1956,]  6.7041071
#>  [1957,]  7.3043893
#>  [1958,]  3.3935528
#>  [1959,]  7.6825155
#>  [1960,] 10.8942927
#>  [1961,] 12.2300974
#>  [1962,] 19.9269074
#>  [1963,] 13.3083600
#>  [1964,] 21.8138532
#>  [1965,] 16.3174330
#>  [1966,] 14.7493149
#>  [1967,] 11.6320911
#>  [1968,] 10.1353312
#>  [1969,]  7.8204940
#>  [1970,]  2.3665627
#>  [1971,]  5.4460286
#>  [1972,] 10.9593469
#>  [1973,] 10.9632577
#>  [1974,] 20.5548333
#>  [1975,] 16.1098284
#>  [1976,]  6.8055988
#>  [1977,] 15.8760647
#>  [1978,]  4.1841798
#>  [1979,]  4.8697957
#>  [1980,]  5.5734405
#>  [1981,] 12.3521664
#>  [1982,] 11.9541558
#>  [1983,]  8.8984897
#>  [1984,]  5.4229959
#>  [1985,] 10.0886354
#>  [1986,]  6.9249676
#>  [1987,]  8.3688954
#>  [1988,]  3.9253270
#>  [1989,]  3.0519935
#>  [1990,]  5.8399048
#>  [1991,]  3.5612314
#>  [1992,] 12.9524232
#>  [1993,] 23.2821854
#>  [1994,] 18.3518598
#>  [1995,] 14.6888648
#>  [1996,] 24.2412743
#>  [1997,] 15.7990515
#>  [1998,]  9.7920961
#>  [1999,]  7.6940588
#>  [2000,]  4.1052642
#>  [2001,]  7.4848354
#>  [2002,] 22.4566701
#>  [2003,] 22.2809120
#>  [2004,] 18.8830582
#>  [2005,] 14.3399761
#>  [2006,]  9.5840071
#>  [2007,] 15.2841558
#>  [2008,] 14.4192068
#>  [2009,] 10.0417260
#>  [2010,]  8.9272887
#>  [2011,]  5.5593619
#>  [2012,]  5.2366277
#>  [2013,] 11.1259599
#>  [2014,]  9.4951700
#>  [2015,]  6.7963772
#>  [2016,]  6.7847493
#>  [2017,]  2.2099566
#>  [2018,]  8.5182959
#>  [2019,] 17.8786886
#>  [2020,] 14.2674983
#>  [2021,]  5.6868318
#>  [2022,]  3.6966217
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#>  [2040,] 14.6141483
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#>  [2333,]  9.0983547
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#>  [2346,] 12.5718825
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#>  [2371,]  6.2697362
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#>  [2373,] 16.2558711
#>  [2374,] 22.8282758
#>  [2375,] 13.4758548
#>  [2376,] 13.8991939
#>  [2377,] 25.4467544
#>  [2378,] 14.3599923
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#>  [2426,]  1.6660995
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#>  [2428,]  4.5842961
#>  [2429,] 11.0833628
#>  [2430,]  9.2310268
#>  [2431,] 15.5470054
#>  [2432,] 14.9444275
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#>  [2445,]  8.7726421
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#>  [2448,]  3.4911372
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#>  [2454,]  2.8347462
#>  [2455,]  8.7672367
#>  [2456,] 15.8910358
#>  [2457,] 12.1299575
#>  [2458,] 34.0923295
#>  [2459,] 27.1653786
#>  [2460,] 12.2115016
#>  [2461,] 10.8114273
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#>  [2463,] 13.5058466
#>  [2464,] 12.3867882
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#>  [2466,] 10.2913474
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#>  [2484,]  6.9302186
#>  [2485,]  5.8951371
#>  [2486,] 14.2850306
#>  [2487,] 16.3070596
#>  [2488,] 11.8978922
#>  [2489,] 10.0581370
#>  [2490,]  2.9805982
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#>  [2492,]  1.8202296
#>  [2493,] 10.3524400
#>  [2494,]  5.3707457
#>  [2495,]  3.1199403
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#>  [2497,]  2.1648617
#>  [2498,]  1.8720717
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#>  [2500,]  1.4633480
#>  [2501,]  1.3751381
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#>  [2503,] 12.6348837
#>  [2504,]  8.3441670
#>  [2505,]  6.7240489
#>  [2506,] 14.1680115
#>  [2507,]  9.1166752
#>  [2508,]  9.0328166
#>  [2509,] 13.5036919
#>  [2510,]  7.7730072
#>  [2511,] 22.2133441
#>  [2512,] 30.5692901
#>  [2513,] 39.8085076
#>  [2514,] 24.6274469
#>  [2515,] 10.6412566
#>  [2516,] 23.3950279
#>  [2517,] 36.7408828
#>  [2518,] 20.3376125
#>  [2519,] 11.1318870
#>  [2520,]  4.1159394
#>  [2521,]  7.1703720
#>  [2522,]  2.7097094
#>  [2523,]  3.3521080
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#>  [2557,] 29.5244403
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#>  [2559,] 17.5062103
#>  [2560,] 17.2265560
#>  [2561,] 25.5768071
#>  [2562,] 33.0262622
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#>  [2567,] 24.1179945
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#>  [2836,] 25.2619758
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#>  [2844,] 31.2428399
#>  [2845,] 46.5945458
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#>  [2847,] 14.1266667
#>  [2848,] 11.6358596
#>  [2849,]  8.7579080
#>  [2850,]  6.9511981
#>  [2851,]  2.6859679
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#>  [2865,]  7.1189668
#>  [2866,]  5.8387835
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#>  [2868,]  6.3291277
#>  [2869,]  4.8827228
#>  [2870,]  4.3589361
#>  [2871,] 10.5445823
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#>  [2873,] 12.1599413
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#>  [2878,]  7.3014025
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#>  [2883,]  7.7755584
#>  [2884,]  5.1310479
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#>  [2886,] 11.1684145
#>  [2887,]  4.8706009
#>  [2888,]  2.9237826
#>  [2889,]  5.8922202
#>  [2890,]  3.5272256
#>  [2891,] 10.8573230
#>  [2892,]  9.4909613
#>  [2893,] 14.5372654
#>  [2894,]  5.8718624
#>  [2895,]  5.0161620
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#>  [2916,]  3.9056506
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#>  [2925,]  7.5810228
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#>  [2927,]  3.7443201
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#>  [2929,]  3.0843545
#>  [2930,]  0.5984983
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#>  [2932,]  0.8181940
#>  [2933,]  1.6311615
#>  [2934,]  1.0259794
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#>  [2936,]  1.0016912
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#>  [2938,]  2.7745925
#>  [2939,]  4.1654036
#>  [2940,]  8.3901769
#>  [2941,] 10.7613000
#>  [2942,] 14.4771545
#>  [2943,]  4.0914669
#>  [2944,]  5.9292127
#>  [2945,] 17.1899824
#>  [2946,] 13.9837380
#>  [2947,] 12.7888127
#>  [2948,] 21.4728742
#>  [2949,] 14.4200167
#>  [2950,]  8.8815069
#>  [2951,] 10.8289262
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#>  [2954,]  1.7416511
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#>  [2957,] 13.1889587
#>  [2958,] 16.2819927
#>  [2959,]  5.2802039
#>  [2960,]  7.8891441
#>  [2961,]  3.2442174
#>  [2962,]  5.5175065
#>  [2963,]  2.6171384
#>  [2964,]  6.6171699
#>  [2965,]  7.7156720
#>  [2966,] 10.7350786
#>  [2967,]  9.9685763
#>  [2968,]  4.5298664
#>  [2969,] 10.1084430
#>  [2970,] 19.1373041
#>  [2971,] 36.3436872
#>  [2972,] 13.2069893
#>  [2973,]  6.6831172
#>  [2974,]  7.8443168
#>  [2975,]  7.0733578
#>  [2976,]  2.5088547
#>  [2977,]  3.6460537
#>  [2978,]  1.5162967
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#>  [2980,] 12.0146754
#>  [2981,]  9.9824191
#>  [2982,]  8.4168270
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#>  [2990,]  1.7748736
#>  [2991,]  1.9212623
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#>  [2993,]  8.9054147
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#>  [2996,]  4.3459054
#>  [2997,]  9.1298822
#>  [2998,] 12.5438034
#>  [2999,] 16.3263336
#>  [3000,] 17.5914340
#>  [3001,]  7.6673705
#>  [3002,]  9.2311334
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#>  [3004,]  3.1783904
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#>  [3007,]  1.7746406
#>  [3008,]  1.7000443
#>  [3009,] 11.2388750
#>  [3010,]  1.3448558
#>  [3011,]  6.2102010
#>  [3012,]  4.0685103
#>  [3013,]  3.3084458
#>  [3014,]  5.2302011
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#>  [3016,]  5.4539968
#>  [3017,]  3.4199351
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#>  [3020,]  4.7511098
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#>  [3027,]  3.1032204
#>  [3028,]  1.8107709
#>  [3029,]  3.4608085
#>  [3030,]  2.6807222
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#>  [3032,]  2.6747161
#>  [3033,]  3.0234744
#>  [3034,]  1.6234433
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#>  [3037,]  4.1535458
#>  [3038,]  8.5226969
#>  [3039,]  6.0654894
#>  [3040,] 13.6090415
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#>  [3042,] 19.1162972
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#>  [3054,] 15.1886532
#>  [3055,] 34.5852639
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#>  [3081,] 16.8346239
#>  [3082,] 13.9622341
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#>  [3085,] 11.8102753
#>  [3086,] 26.4204960
#>  [3087,] 20.0957090
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#>  [3105,] 27.8739051
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#>  [3110,] 15.0517660
#>  [3111,] 16.6186197
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#>  [3113,] 25.4673077
#>  [3114,] 25.1563730
#>  [3115,] 12.6095763
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#>  [3361,] 25.8340317
#>  [3362,] 26.3630499
#>  [3363,]  8.2222548
#>  [3364,] 16.4645183
#>  [3365,]  8.7932512
#>  [3366,] 14.8951969
#>  [3367,]  7.7470834
#>  [3368,]  8.1577669
#>  [3369,]  6.6175715
#>  [3370,]  4.8876857
#>  [3371,]  3.3737731
#>  [3372,]  0.9287755
#>  [3373,]  0.4606311
#>  [3374,]  1.6054092
#>  [3375,]  0.8974097
#>  [3376,]  3.9576754
#>  [3377,]  3.0340582
#>  [3378,]  4.6936081
#>  [3379,]  4.4939144
#>  [3380,]  3.5592400
#>  [3381,]  3.0299225
#>  [3382,]  1.2982846
#>  [3383,]  1.1242282
#>  [3384,]  5.9708549
#>  [3385,] 11.1706602
#>  [3386,] 15.5354696
#>  [3387,]  7.4309715
#>  [3388,]  1.7902660
#>  [3389,]  4.7468598
#>  [3390,]  9.3770016
#>  [3391,] 20.2162455
#>  [3392,]  7.1823755
#>  [3393,] 10.9498156
#>  [3394,]  7.9086298
#>  [3395,]  3.7690220
#>  [3396,]  6.5143395
#>  [3397,]  6.5045391
#>  [3398,]  5.9898267
#>  [3399,] 10.0935973
#>  [3400,]  8.6660892
#>  [3401,]  6.8444130
#>  [3402,] 10.9630258
#>  [3403,] 14.6773481
#>  [3404,] 19.7586037
#>  [3405,] 16.6493871
#>  [3406,]  7.5532817
#>  [3407,]  3.9804122
#>  [3408,]  6.1269591
#>  [3409,]  6.9521481
#>  [3410,]  4.2096108
#>  [3411,]  8.0825774
#>  [3412,]  4.9164561
#>  [3413,]  9.3660459
#>  [3414,]  8.7720984
#>  [3415,] 11.2541179
#>  [3416,] 28.8015905
#>  [3417,]  9.3266986
#>  [3418,]  6.4098065
#>  [3419,] 11.8324464
#>  [3420,] 14.9662156
#>  [3421,]  9.0507783
#>  [3422,] 10.6114167
#>  [3423,] 14.0568611
#>  [3424,] 11.6845300
#>  [3425,]  3.1778802
#>  [3426,]  7.1209300
#>  [3427,]  5.6022794
#>  [3428,]  3.0939798
#>  [3429,]  4.8941448
#>  [3430,]  2.2481138
#>  [3431,]  3.2179738
#>  [3432,] 12.9042916
#>  [3433,] 12.9538481
#>  [3434,] 10.5649678
#>  [3435,]  6.6523567
#>  [3436,]  3.7664193
#>  [3437,]  8.4383802
#>  [3438,]  5.9544174
#>  [3439,]  7.6795501
#>  [3440,]  6.5089688
#>  [3441,]  5.6550949
#>  [3442,]  7.8279890
#>  [3443,] 11.0635420
#>  [3444,]  7.2654495
#>  [3445,]  4.0714352
#>  [3446,]  8.0614053
#>  [3447,]  6.5651106
#>  [3448,]  3.2451520
#>  [3449,]  1.8886031
#>  [3450,]  2.6145617
#>  [3451,]  3.0703171
#>  [3452,]  4.3316629
#>  [3453,]  8.9263541
#>  [3454,] 22.5355236
#>  [3455,] 11.7468402
#>  [3456,]  7.3267324
#>  [3457,] 18.5492369
#>  [3458,]  5.0687787
#>  [3459,]  2.2132929
#>  [3460,]  1.6281859
#>  [3461,]  3.2260956
#>  [3462,]  5.4105599
#>  [3463,]  7.9541377
#>  [3464,]  7.5255210
#>  [3465,]  5.3456855
#>  [3466,]  1.6990342
#>  [3467,]  2.6981893
#>  [3468,]  3.4316100
#>  [3469,]  4.3999345
#>  [3470,]  1.6201322
#>  [3471,]  2.3580046
#>  [3472,]  2.3136438
#>  [3473,]  3.9164224
#>  [3474,]  3.2488611
#>  [3475,]  3.2667426
#>  [3476,]  8.3296485
#>  [3477,] 12.7996906
#>  [3478,]  7.7874164
#>  [3479,] 16.1705302
#>  [3480,]  4.4787625
#>  [3481,]  2.3675098
#>  [3482,]  1.7512622
#>  [3483,]  1.8086913
#>  [3484,]  2.6719864
#>  [3485,]  1.7456653
#>  [3486,]  2.0834873
#>  [3487,]  3.6221566
#>  [3488,]  9.2261979
#>  [3489,]  1.6466810
#>  [3490,]  1.3173305
#>  [3491,]  0.2814120
#>  [3492,]  0.2823464
#>  [3493,]  1.2989172
#>  [3494,]  2.1989063
#>  [3495,]  3.1317919
#>  [3496,]  9.9019871
#>  [3497,]  5.8140851
#>  [3498,]  1.2998023
#>  [3499,]  2.4969691
#>  [3500,]  3.3797463
#>  [3501,]  6.1893125
#>  [3502,]  4.2150468
#>  [3503,]  9.1837382
#>  [3504,]  5.0513512
#>  [3505,]  8.2752993
#>  [3506,]  6.5691068
#>  [3507,]  6.8813670
#>  [3508,]  4.7272401
#>  [3509,]  2.6975197
#>  [3510,]  6.6411333
#>  [3511,]  1.8307014
#>  [3512,]  3.2383071
#>  [3513,]  1.0120204
#>  [3514,]  3.2538334
#>  [3515,] 13.9946452
#>  [3516,]  7.4498902
#>  [3517,]  5.5842881
#>  [3518,]  1.9594714
#>  [3519,]  4.1852094
#>  [3520,]  3.7284455
#>  [3521,]  8.1810452
#>  [3522,] 10.9355114
#>  [3523,] 11.8616860
#>  [3524,] 10.6518018
#>  [3525,]  9.7264096
#>  [3526,] 11.2878912
#>  [3527,] 11.9928307
#>  [3528,]  7.2468983
#>  [3529,]  7.8717956
#>  [3530,]  8.2275830
#>  [3531,] 11.3480363
#>  [3532,] 16.7089148
#>  [3533,] 14.5961454
#>  [3534,]  4.6702267
#>  [3535,]  3.6106790
#>  [3536,]  3.0480773
#>  [3537,]  1.4061159
#>  [3538,]  1.7112278
#>  [3539,]  1.5471144
#>  [3540,]  4.5667873
#>  [3541,]  2.5766166
#>  [3542,]  1.1769085
#>  [3543,]  3.6375200
#>  [3544,]  8.0911624
#>  [3545,]  8.7852293
#>  [3546,] 25.4305732
#>  [3547,]  7.5360037
#>  [3548,] 18.9845184
#>  [3549,] 11.0123220
#>  [3550,] 12.5292120
#>  [3551,]  6.1635803
#>  [3552,]  2.9890848
#>  [3553,]  3.0668853
#>  [3554,]  7.1188409
#>  [3555,]  6.3255555
#>  [3556,]  7.2347832
#>  [3557,]  6.7758672
#>  [3558,]  2.9560746
#>  [3559,]  2.9375491
#>  [3560,]  2.6793707
#>  [3561,]  3.1322597
#>  [3562,]  3.7435290
#>  [3563,]  1.2354528
#>  [3564,]  2.5999353
#>  [3565,]  5.4356141
#>  [3566,]  5.3471745
#>  [3567,]  2.1198171
#>  [3568,] 10.4190896
#>  [3569,]  6.6770656
#>  [3570,]  4.0066505
#>  [3571,]  6.9797781
#>  [3572,]  5.2390786
#>  [3573,]  2.4948767
#>  [3574,]  4.7289248
#>  [3575,]  3.8642866
#>  [3576,]  5.2935630
#>  [3577,]  3.6131157
#>  [3578,]  0.7169938
#>  [3579,]  2.2078129
#>  [3580,]  2.0348681
#>  [3581,]  4.4126329
#>  [3582,]  4.5396399
#>  [3583,]  4.5560886
#>  [3584,] 10.1348425
#>  [3585,] 12.4342509
#>  [3586,]  7.7890213
#>  [3587,]  9.1314936
#>  [3588,]  8.8679324
#>  [3589,] 21.6493892
#>  [3590,] 11.8704585
#>  [3591,] 33.3709299
#>  [3592,] 24.4896280
#>  [3593,] 16.0826597
#>  [3594,] 11.6762491
#>  [3595,]  7.6616302
#>  [3596,]  7.9428317
#>  [3597,] 15.7303903
#>  [3598,]  9.3481453
#>  [3599,] 13.5974385
#>  [3600,]  8.8838166
#>  [3601,]  4.0498654
#>  [3602,]  2.0980647
#>  [3603,]  2.0622263
#>  [3604,]  5.2380642
#>  [3605,]  5.3197130
#>  [3606,]  5.3647714
#>  [3607,]  7.3673462
#>  [3608,]  7.4062626
#>  [3609,]  4.7780761
#>  [3610,]  6.0743398
#>  [3611,]  5.9178800
#>  [3612,]  4.6128029
#>  [3613,]  5.6528466
#>  [3614,]  9.4461282
#>  [3615,]  5.8447022
#>  [3616,] 11.9542534
#>  [3617,] 11.4361704
#>  [3618,]  9.1496768
#>  [3619,]  6.2764950
#>  [3620,]  2.8361609
#>  [3621,]  4.2095719
#>  [3622,]  2.9942813
#>  [3623,]  6.8817315
#>  [3624,]  1.0464132
#>  [3625,]  5.9806237
#>  [3626,] 10.2344705
#>  [3627,]  7.6090055
#>  [3628,]  3.8172293
#>  [3629,]  2.0921632
#>  [3630,]  4.6655262
#>  [3631,]  4.7717961
#>  [3632,]  7.4632424
#>  [3633,] 10.4122830
#>  [3634,]  9.5358229
#>  [3635,] 12.2909964
#>  [3636,] 16.5400504
#>  [3637,]  8.2893375
#>  [3638,] 12.7844495
#>  [3639,] 13.8243229
#>  [3640,] 18.6792126
#>  [3641,]  9.8519401
#>  [3642,]  8.4025063
#>  [3643,] 14.1756989
#>  [3644,] 11.2990384
#>  [3645,] 17.2480921
#>  [3646,] 14.4189493
#>  [3647,] 22.6645040
#>  [3648,] 15.4688037
#>  [3649,]  7.1281764
#>  [3650,]  5.1595265
#>  [3651,]  1.3420788
#>  [3652,]  1.7238902
#>  [3653,]  2.0637937
#>  [3654,]  2.4776096
#>  [3655,]  4.6216643
#>  [3656,]  3.0753486
#>  [3657,]  4.8921764
#>  [3658,]  2.6048355
#>  [3659,]  3.1283964
#>  [3660,]  6.3784569
#>  [3661,]  2.2310227
#>  [3662,]  2.3246837
#>  [3663,]  7.7382852
#>  [3664,]  7.4909712
#>  [3665,] 16.8935660
#>  [3666,] 17.0782904
#>  [3667,] 10.4138534
#>  [3668,] 12.6836194
#>  [3669,]  7.6603145
#>  [3670,]  3.7123324
#>  [3671,]  3.2914390
#>  [3672,]  8.0464548
#>  [3673,]  8.2388056
#>  [3674,]  3.3957859
#>  [3675,]  2.9711526
#>  [3676,]  5.2965573
#>  [3677,]  5.5847917
#>  [3678,]  4.1499344
#>  [3679,]  2.8010500
#>  [3680,]  2.5145069
#>  [3681,]  2.7419927
#>  [3682,]  2.9538360
#>  [3683,]  2.3551035
#>  [3684,]  5.1708141
#>  [3685,]  8.3219172
#>  [3686,]  5.1560248
#>  [3687,]  4.1082837
#>  [3688,]  4.4564197
#>  [3689,]  5.0184806
#>  [3690,]  2.3048077
#>  [3691,]  1.1778775
#>  [3692,]  1.4258654
#>  [3693,]  2.7906348
#>  [3694,]  6.1748835
#>  [3695,] 18.1535526
#>  [3696,] 20.7675312
#>  [3697,] 19.8022839
#>  [3698,] 30.5083064
#>  [3699,] 16.5588971
#>  [3700,] 19.1185490
#>  [3701,] 22.3765053
#>  [3702,] 14.1971617
#>  [3703,] 12.7451280
#>  [3704,] 23.1731502
#>  [3705,] 30.2919428
#>  [3706,] 11.2666145
#>  [3707,] 12.2686618
#>  [3708,]  7.4776465
#>  [3709,] 13.2499760
#>  [3710,] 22.9254421
#>  [3711,] 21.0678351
#>  [3712,]  6.1135720
#>  [3713,]  5.8618316
#>  [3714,]  4.5904226
#>  [3715,]  5.7441608
#>  [3716,]  4.1971351
#>  [3717,]  2.9900628
#>  [3718,]  2.1614123
#>  [3719,]  2.0516864
#>  [3720,]  1.8495244
#>  [3721,]  0.3766215
#>  [3722,]  0.5481167
#>  [3723,]  0.8220752
#>  [3724,]  0.3024282
#>  [3725,]  1.6322047
#>  [3726,]  2.5480864
#>  [3727,]  0.5418885
#>  [3728,]  1.5934957
#>  [3729,]  4.3784644
#>  [3730,]  4.5104683
#>  [3731,]  4.6928374
#>  [3732,]  7.2327781
#>  [3733,]  4.4663506
#>  [3734,]  4.4116563
#>  [3735,]  6.6784939
#>  [3736,]  3.3272788
#>  [3737,]  2.4176181
#>  [3738,]  2.7299628
#>  [3739,]  1.2003071
#>  [3740,]  2.6210374
#>  [3741,]  0.8753730
#>  [3742,]  3.8291188
#>  [3743,]  6.0429030
#>  [3744,]  7.4870425
#>  [3745,]  7.2945025
#>  [3746,]  7.9958611
#>  [3747,]  7.1490366
#>  [3748,] 10.0126008
#>  [3749,] 10.5772004
#>  [3750,] 38.0187039
#>  [3751,] 33.6376493
#>  [3752,] 14.7782638
#>  [3753,] 19.8796168
#>  [3754,] 11.3827813
#>  [3755,]  7.9650227
#>  [3756,] 10.1283662
#>  [3757,]  4.1000799
#>  [3758,]  3.3565696
#>  [3759,]  2.6938664
#>  [3760,]  3.6032940
#>  [3761,]  3.1659702
#>  [3762,]  6.3280175
#>  [3763,]  8.0020065
#>  [3764,]  3.6062530
#>  [3765,]  0.5546510
#>  [3766,]  0.4131475
#>  [3767,]  0.7469230
#>  [3768,]  0.8349527
#>  [3769,]  2.5099813
#>  [3770,]  2.1454465
#>  [3771,]  4.3401003
#>  [3772,]  5.7967880
#>  [3773,]  2.6272359
#>  [3774,]  2.0511822
#>  [3775,]  6.8960246
#>  [3776,]  7.9083970
#>  [3777,] 10.5263808
#>  [3778,]  4.0071872
#>  [3779,]  5.6574193
#>  [3780,]  1.8962358
#>  [3781,]  1.9567004
#>  [3782,]  4.9609592
#>  [3783,]  7.5814875
#>  [3784,]  5.5319861
#>  [3785,]  6.9180700
#>  [3786,] 12.7321871
#>  [3787,]  8.2601982
#>  [3788,]  6.2926988
#>  [3789,]  5.9857082
#>  [3790,]  2.8237891
#>  [3791,]  4.0780416
#>  [3792,]  3.0828434
#>  [3793,]  6.1070630
#>  [3794,]  4.4649137
#>  [3795,]  6.2242502
#>  [3796,]  9.3282092
#>  [3797,]  9.0840628
#>  [3798,]  6.4590210
#>  [3799,] 11.5845931
#>  [3800,] 10.3817096
#>  [3801,] 12.0789756
#>  [3802,]  3.1857947
#>  [3803,]  0.7832625
#>  [3804,]  3.7177367
#>  [3805,] 21.7390709
#>  [3806,] 12.8468183
#>  [3807,]  7.5030344
#>  [3808,]  2.7894851
#>  [3809,]  3.1800569
#>  [3810,]  4.3375853
#>  [3811,]  3.5824491
#>  [3812,]  3.4345733
#>  [3813,]  6.6536687
#>  [3814,]  9.2309790
#>  [3815,] 11.3984784
#>  [3816,]  9.4173784
#>  [3817,]  8.0857006
#>  [3818,]  6.7708495
#>  [3819,] 11.7303068
#>  [3820,] 23.5307608
#>  [3821,] 31.2927498
#>  [3822,] 36.6473021
#>  [3823,] 43.3815157
#>  [3824,] 46.1927146
#>  [3825,] 34.0891755
#>  [3826,] 18.4421834
#>  [3827,] 12.8951231
#>  [3828,]  7.0927095
#>  [3829,]  5.8327658
#>  [3830,]  6.4501224
#>  [3831,]  9.8654824
#>  [3832,]  5.3465235
#>  [3833,]  3.7387568
#>  [3834,]  2.4952107
#>  [3835,]  0.8971102
#>  [3836,]  1.8177675
#>  [3837,]  9.9610941
#>  [3838,]  7.7104295
#>  [3839,] 18.1825823
#>  [3840,] 12.5842536
#>  [3841,] 10.5959933
#>  [3842,] 16.6707191
#>  [3843,] 16.2255798
#>  [3844,] 37.0172657
#>  [3845,] 38.2061387
#>  [3846,] 22.1412038
#>  [3847,] 19.2024017
#>  [3848,]  4.2327551
#>  [3849,]  4.8778479
#>  [3850,]  5.4680162
#>  [3851,]  2.0911806
#>  [3852,]  2.9255042
#>  [3853,]  2.2374455
#>  [3854,]  2.3773064
#>  [3855,]  1.0662712
#>  [3856,]  0.8678142
#>  [3857,]  0.9877057
#>  [3858,]  1.9943406
#>  [3859,]  2.8610767
#>  [3860,]  5.3024393
#>  [3861,] 11.0589615
#>  [3862,] 16.0765703
#>  [3863,] 23.5417379
#>  [3864,] 16.1462882
#>  [3865,] 25.7136780
#>  [3866,] 22.7226567
#>  [3867,] 19.9904497
#>  [3868,] 22.4664716
#>  [3869,] 19.1708455
#>  [3870,] 15.4713773
#>  [3871,]  6.2830841
#>  [3872,]  5.5416449
#>  [3873,]  6.4818500
#>  [3874,]  8.0274004
#>  [3875,]  7.4690946
#>  [3876,]  6.3933997
#>  [3877,]  9.6050219
#>  [3878,]  9.4682913
#>  [3879,]  4.9814355
#>  [3880,]  7.0308233
#>  [3881,]  3.7507096
#>  [3882,]  5.4572148
#>  [3883,] 10.8913194
#>  [3884,] 18.7186603
#>  [3885,] 12.9169431
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#>  [3897,]  3.1469079
#>  [3898,]  3.9869155
#>  [3899,]  6.0680929
#>  [3900,] 11.1703398
#>  [3901,] 13.3297334
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#>  [3904,]  2.3409281
#>  [3905,]  2.8235913
#>  [3906,]  6.3812515
#>  [3907,] 27.6803101
#>  [3908,] 27.1031545
#>  [3909,] 19.6544570
#>  [3910,] 43.9378841
#>  [3911,] 38.6261226
#>  [3912,]  8.9815146
#>  [3913,]  7.7287035
#>  [3914,]  7.2086672
#>  [3915,]  3.9128674
#>  [3916,]  9.1079710
#>  [3917,]  5.3687987
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#>  [3919,] 13.9669430
#>  [3920,]  7.9979915
#>  [3921,]  4.8690106
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#>  [3924,]  2.1539658
#>  [3925,]  1.4483219
#>  [3926,]  3.3434479
#>  [3927,] 10.9232219
#>  [3928,]  8.4731427
#>  [3929,]  6.3648500
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#>  [3931,]  2.5684037
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#>  [3933,]  4.3760949
#>  [3934,]  1.9691597
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#>  [3937,]  8.8203066
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#>  [3939,]  6.0301774
#>  [3940,]  5.9004102
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#>  [3943,]  1.1616739
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#>  [3946,]  2.7469565
#>  [3947,]  3.9494217
#>  [3948,]  4.0549983
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#>  [3950,] 15.2132985
#>  [3951,] 14.3550807
#>  [3952,] 11.1661756
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#>  [3954,] 12.1996665
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#>  [3959,]  3.1963602
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#>  [3961,]  3.3205346
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#>  [3963,]  5.3620128
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#>  [3966,]  4.7122761
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#>  [3969,]  7.9503987
#>  [3970,]  5.6185243
#>  [3971,]  8.3163864
#>  [3972,] 14.0547142
#>  [3973,] 21.8866287
#>  [3974,] 21.0147783
#>  [3975,] 16.3914114
#>  [3976,]  9.8396583
#>  [3977,] 20.8794500
#>  [3978,] 17.5957154
#>  [3979,] 12.6471452
#>  [3980,] 12.7056482
#>  [3981,] 20.9293340
#>  [3982,] 41.2698168
#>  [3983,] 11.0271392
#>  [3984,]  9.6503806
#>  [3985,]  5.9024171
#>  [3986,]  9.3121241
#>  [3987,]  8.8816715
#>  [3988,] 18.6616829
#>  [3989,] 24.0010930
#>  [3990,] 17.3869311
#>  [3991,] 21.9428285
#>  [3992,] 20.9940119
#>  [3993,] 31.6182747
#>  [3994,] 26.2576361
#>  [3995,] 28.8470629
#>  [3996,] 22.6871634
#>  [3997,] 12.1020096
#>  [3998,] 15.7318026
#>  [3999,] 10.0921983
#>  [4000,] 10.6963406
#>  [4001,] 17.3200089
#>  [4002,] 17.6498691
#>  [4003,] 20.1328655
#>  [4004,] 14.1059319
#>  [4005,] 14.7839746
#>  [4006,] 24.2002881
#>  [4007,] 14.4515133
#>  [4008,] 15.6946676
#>  [4009,] 17.0205406
#>  [4010,] 14.7554392
#>  [4011,] 17.0717116
#>  [4012,] 21.2206887
#>  [4013,] 14.5952980
#>  [4014,]  8.5317053
#>  [4015,] 15.8005961
#>  [4016,] 14.0420494
#>  [4017,] 21.1506558
#>  [4018,] 33.5184411
#>  [4019,] 18.7512962
#>  [4020,] 15.8252424
#>  [4021,] 20.1932109
#>  [4022,] 20.6868050
#>  [4023,] 20.3314431
#>  [4024,] 16.5141728
#>  [4025,] 13.7366157
#>  [4026,]  9.7419833
#>  [4027,]  6.5078756
#>  [4028,] 17.9409654
#>  [4029,] 13.9761788
#>  [4030,] 29.9006927
#>  [4031,] 24.7747335
#>  [4032,] 11.2726266
#>  [4033,] 30.9590445
#>  [4034,] 23.4525724
#>  [4035,] 18.6252375
#>  [4036,] 11.1809027
#>  [4037,]  7.1544054
#>  [4038,] 14.6031963
#>  [4039,] 10.7596223
#>  [4040,]  8.5193794
#>  [4041,]  4.7123719
#>  [4042,]  7.7742558
#>  [4043,]  7.3407623
#>  [4044,]  5.4292625
#>  [4045,] 19.9513860
#>  [4046,] 12.8074561
#>  [4047,]  5.9474179
#>  [4048,] 10.9425878
#>  [4049,] 11.9033348
#>  [4050,]  8.1418092
#>  [4051,] 12.5168028
#>  [4052,] 11.5856903
#>  [4053,] 21.9320795
#>  [4054,] 15.6284568
#>  [4055,]  8.5153617
#>  [4056,] 10.2181926
#>  [4057,]  8.0440480
#>  [4058,]  7.6970067
#>  [4059,]  8.4425719
#>  [4060,]  4.9297889
#>  [4061,]  7.3603134
#>  [4062,]  9.1160703
#>  [4063,] 12.1354525
#>  [4064,] 11.3564934
#>  [4065,]  8.7291097
#>  [4066,] 10.5132003
#>  [4067,] 11.8934978
#>  [4068,]  6.4919519
#>  [4069,]  7.9609944
#>  [4070,]  7.4563888
#>  [4071,] 21.5981739
#>  [4072,] 43.5894669
#>  [4073,] 35.0760880
#>  [4074,] 30.6776241
#>  [4075,] 12.6206519
#>  [4076,] 11.7931092
#>  [4077,] 12.7006221
#>  [4078,] 14.5517252
#>  [4079,]  3.6495646
#>  [4080,]  4.7022407
#>  [4081,]  8.5643037
#>  [4082,] 14.1334337
#>  [4083,]  3.2263480
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#>  [4085,]  7.4362598
#>  [4086,] 11.4307738
#>  [4087,]  9.3477282
#>  [4088,] 26.4116725
#>  [4089,] 18.2097677
#>  [4090,]  6.4891110
#>  [4091,]  5.8428220
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#>  [4094,]  6.3262168
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#>  [4096,] 11.8343526
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#>  [4110,] 11.8138623
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#>  [4148,] 17.2218766
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#>  [4392,] 28.7463949
#>  [4393,] 24.2613013
#>  [4394,] 61.2035344
#>  [4395,] 38.0372140
#>  [4396,] 23.8912704
#>  [4397,] 15.9237156
#>  [4398,] 18.5127595
#>  [4399,] 26.0670605
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#>  [4402,]  4.7206003
#>  [4403,]  5.3574291
#>  [4404,]  4.6808981
#>  [4405,]  4.8100923
#>  [4406,]  6.1455418
#>  [4407,]  9.1330792
#>  [4408,] 10.6624515
#>  [4409,] 21.4589004
#>  [4410,] 18.2002961
#>  [4411,] 19.5054529
#>  [4412,] 12.0537832
#>  [4413,] 12.6067441
#>  [4414,]  6.8505076
#>  [4415,]  6.5886552
#>  [4416,]  4.7255079
#>  [4417,]  4.4000096
#>  [4418,] 12.3143395
#>  [4419,]  8.7894577
#>  [4420,] 12.4829610
#>  [4421,]  5.5226256
#>  [4422,]  6.1261082
#>  [4423,]  5.0883268
#>  [4424,]  3.5264702
#>  [4425,]  3.3332545
#>  [4426,]  9.2458408
#>  [4427,] 18.4233958
#>  [4428,] 14.2462233
#>  [4429,] 13.4798251
#>  [4430,] 15.3992469
#>  [4431,]  8.8175564
#>  [4432,] 14.5753312
#>  [4433,]  4.9821525
#>  [4434,]  3.1530746
#>  [4435,] 10.3197774
#>  [4436,]  8.7487152
#>  [4437,] 17.6013406
#>  [4438,] 31.6083304
#>  [4439,] 21.9325115
#>  [4440,] 24.0067158
#>  [4441,] 30.7917035
#>  [4442,] 19.6365732
#>  [4443,] 21.5057208
#>  [4444,] 33.4508729
#>  [4445,]  8.0585734
#>  [4446,]  9.1353083
#>  [4447,] 12.5829168
#>  [4448,] 10.7898775
#>  [4449,] 16.6290325
#>  [4450,] 18.3952077
#>  [4451,] 20.8673801
#>  [4452,] 16.3505833
#>  [4453,] 19.8650357
#>  [4454,] 17.8990203
#>  [4455,] 26.1657768
#>  [4456,]  8.0313070
#>  [4457,]  5.9704305
#>  [4458,] 12.2139790
#>  [4459,] 13.2979342
#>  [4460,] 10.5764097
#>  [4461,]  4.3291860
#>  [4462,]  3.2758911
#>  [4463,]  5.1884657
#>  [4464,]  6.2546323
#>  [4465,]  6.9658008
#>  [4466,]  3.4776106
#>  [4467,]  5.2206308
#>  [4468,]  1.9058385
#>  [4469,]  0.8360944
#>  [4470,]  2.2228322
#>  [4471,]  3.7792826
#>  [4472,]  9.8835954
#>  [4473,]  7.7823036
#>  [4474,]  7.5478101
#>  [4475,]  4.3602566
#>  [4476,]  3.3790408
#>  [4477,]  5.5838865
#>  [4478,]  7.4063615
#>  [4479,]  3.9901717
#>  [4480,]  5.5657486
#>  [4481,]  4.7019525
#>  [4482,]  3.9977868
#>  [4483,]  8.0268578
#>  [4484,]  5.1764459
#>  [4485,]  3.1811978
#>  [4486,]  4.2251707
#>  [4487,]  6.2922132
#>  [4488,]  6.5623945
#>  [4489,]  5.5689639
#>  [4490,]  5.9859557
#>  [4491,]  6.0436739
#>  [4492,]  6.7221609
#>  [4493,]  7.9845991
#>  [4494,] 11.1622885
#>  [4495,]  9.9075164
#>  [4496,]  3.3270462
#>  [4497,]  4.6933791
#>  [4498,]  4.8292494
#>  [4499,]  6.4606567
#>  [4500,] 15.2092668
#>  [4501,]  3.5516903
#>  [4502,]  5.0777231
#>  [4503,]  7.0224412
#>  [4504,]  9.7481391
#>  [4505,]  7.6946999
#>  [4506,] 14.3036046
#>  [4507,] 11.3727871
#>  [4508,]  4.1958686
#>  [4509,]  7.8437985
#>  [4510,]  4.9512911
#>  [4511,]  4.4117939
#>  [4512,]  8.0454914
#>  [4513,] 14.3155187
#>  [4514,] 13.5061805
#>  [4515,]  7.0738780
#>  [4516,] 10.9677178
#>  [4517,] 12.5762007
#>  [4518,] 14.3783679
#>  [4519,] 16.0057277
#>  [4520,] 14.6866481
#>  [4521,] 13.8556669
#>  [4522,] 13.6514213
#>  [4523,] 12.7102119
#>  [4524,]  6.1826594
#>  [4525,] 11.6616486
#>  [4526,]  9.5557328
#>  [4527,]  3.4616460
#>  [4528,]  6.5126968
#>  [4529,]  4.0068278
#>  [4530,]  5.7991051
#>  [4531,]  5.3001594
#>  [4532,] 12.8259182
#>  [4533,]  5.8875288
#>  [4534,] 11.0183555
#>  [4535,]  8.0615364
#>  [4536,]  3.9684664
#>  [4537,]  8.4175516
#>  [4538,]  8.5443248
#>  [4539,] 17.0864185
#>  [4540,] 11.1783073
#>  [4541,]  6.9783136
#>  [4542,] 10.9504579
#>  [4543,] 17.6587775
#>  [4544,] 12.4417395
#>  [4545,]  9.6714783
#>  [4546,]  5.7799932
#>  [4547,]  7.0390976
#>  [4548,]  9.7057539
#>  [4549,]  6.7109646
#>  [4550,]  4.5079031
#>  [4551,]  2.5990485
#>  [4552,]  4.3387828
#>  [4553,]  4.8730564
#>  [4554,]  1.5377765
#>  [4555,]  1.4275157
#>  [4556,]  2.3581809
#>  [4557,]  0.9835181
#>  [4558,]  1.1067477
#>  [4559,]  1.5398195
#>  [4560,]  2.1919044
#>  [4561,]  0.7913992
#>  [4562,]  3.7892911
#>  [4563,]  2.1148281
#>  [4564,]  4.7425133
#>  [4565,]  4.6554072
#>  [4566,]  2.7783483
#>  [4567,]  1.2948122
#>  [4568,]  4.3817874
#>  [4569,] 10.5295273
#>  [4570,] 16.0039095
#>  [4571,] 22.4013615
#>  [4572,] 16.0884258
#>  [4573,] 19.1549991
#>  [4574,] 18.9557891
#>  [4575,]  9.6383104
#>  [4576,]  3.8845729
#>  [4577,]  7.1411267
#>  [4578,]  5.8035316
#>  [4579,]  7.1658835
#>  [4580,]  3.8326863
#>  [4581,]  5.0009668
#>  [4582,]  4.6170599
#>  [4583,]  3.9651296
#>  [4584,]  1.4426619
#>  [4585,]  4.0822197
#>  [4586,]  1.6514716
#>  [4587,]  4.3933205
#>  [4588,]  4.2601747
#>  [4589,]  6.5449048
#>  [4590,]  6.3687298
#>  [4591,]  6.1948617
#>  [4592,]  3.5639378
#>  [4593,]  0.6576590
#>  [4594,]  1.1909194
#>  [4595,]  2.4238900
#>  [4596,]  2.9069911
#>  [4597,]  3.5065223
#>  [4598,] 12.4314725
#>  [4599,] 11.2749195
#>  [4600,] 12.0179916
#>  [4601,] 11.3492959
#>  [4602,]  6.3608637
#>  [4603,] 14.2927116
#>  [4604,] 25.7013898
#>  [4605,] 25.7562236
#>  [4606,] 16.9277309
#>  [4607,] 10.8540886
#>  [4608,] 24.0096897
#>  [4609,] 32.2509995
#>  [4610,] 11.4442350
#>  [4611,]  7.4196002
#>  [4612,]  5.1539202
#>  [4613,]  1.9231571
#>  [4614,]  2.8713807
#>  [4615,]  2.8499847
#>  [4616,]  1.6079388
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#>  [4618,]  0.5597019
#>  [4619,]  1.3234083
#>  [4620,]  1.8340790
#>  [4621,]  2.3858345
#>  [4622,]  0.9446949
#>  [4623,]  1.9160472
#>  [4624,]  1.8209814
#>  [4625,]  5.1730963
#>  [4626,]  6.3064249
#>  [4627,]  5.7392246
#>  [4628,]  6.8039004
#>  [4629,] 12.3775233
#>  [4630,] 15.0817172
#>  [4631,] 23.4118822
#>  [4632,] 13.9895107
#>  [4633,]  8.7608158
#>  [4634,] 16.3233262
#>  [4635,]  9.9767095
#>  [4636,] 11.3324216
#>  [4637,]  6.4588560
#>  [4638,] 12.3284608
#>  [4639,]  9.8277364
#>  [4640,] 12.0278872
#>  [4641,] 10.7200536
#>  [4642,] 13.0551996
#>  [4643,]  4.4276903
#>  [4644,]  9.6251907
#>  [4645,]  5.2614058
#>  [4646,]  2.2139931
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#>  [4648,]  8.1995394
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#>  [4651,]  2.2580005
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#>  [4653,]  7.5899620
#>  [4654,] 10.1036815
#>  [4655,]  4.9682420
#>  [4656,]  2.6795419
#>  [4657,]  4.9610970
#>  [4658,]  3.2819359
#>  [4659,]  4.9915934
#>  [4660,]  5.9611849
#>  [4661,] 13.8730693
#>  [4662,]  9.2946326
#>  [4663,]  7.6495687
#>  [4664,] 11.2157749
#>  [4665,]  8.6504546
#>  [4666,]  6.2360543
#>  [4667,]  4.2234381
#>  [4668,]  2.2245180
#>  [4669,]  4.0318409
#>  [4670,]  3.1190151
#>  [4671,]  6.2798181
#>  [4672,] 10.5712094
#>  [4673,] 12.4311346
#>  [4674,] 16.7566408
#>  [4675,]  5.5552071
#>  [4676,]  5.1071107
#>  [4677,]  1.9390501
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#>  [4679,]  2.7753739
#>  [4680,]  9.6980759
#>  [4681,] 14.0289555
#>  [4682,]  9.0369252
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#>  [4684,] 10.0202950
#>  [4685,]  7.4970613
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#>  [4689,]  1.1829320
#>  [4690,]  2.4726877
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#>  [4693,]  3.2667790
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#>  [4709,] 11.2430487
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#>  [4732,] 11.8759949
#>  [4733,] 14.7596085
#>  [4734,] 29.6925267
#>  [4735,] 14.4234722
#>  [4736,] 21.7910111
#>  [4737,] 14.2766164
#>  [4738,]  7.0325951
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#>  [4744,] 10.9560009
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#>  [4747,] 13.5319476
#>  [4748,] 26.1044646
#>  [4749,] 19.2045671
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#>  [4751,] 20.6530789
#>  [4752,] 11.7295717
#>  [4753,] 11.4137076
#>  [4754,] 13.0635840
#>  [4755,] 34.9386023
#>  [4756,] 20.4915638
#>  [4757,] 52.8616769
#>  [4758,] 48.2472494
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#>  [4760,]  7.2720861
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#>  [4786,]  7.4349405
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#>  [4801,]  9.2475974
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#>  [4803,]  3.5691671
#>  [4804,]  8.2577902
#>  [4805,] 15.6986238
#>  [4806,] 11.3429252
#>  [4807,] 27.0995021
#>  [4808,] 38.1423748
#>  [4809,] 26.3098115
#>  [4810,] 26.8220248
#>  [4811,] 30.2649029
#>  [4812,] 52.8172722
#>  [4813,] 20.9133504
#>  [4814,] 17.6573771
#>  [4815,] 28.7437668
#>  [4816,] 12.3889494
#>  [4817,]  9.3276222
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#>  [4861,] 22.2773068
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#>  [4882,]  6.5455925
#>  [4883,]  4.4726237
#>  [4884,]  9.0677069
#>  [4885,] 12.7060035
#>  [4886,] 22.4931489
#>  [4887,] 25.7750593
#>  [4888,] 42.3938334
#>  [4889,] 29.2558192
#>  [4890,]  6.4194675
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#>  [4892,]  5.8732065
#>  [4893,] 10.2136341
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#>  [4896,]  3.4557135
#>  [4897,]  3.8307533
#>  [4898,]  1.5409433
#>  [4899,]  1.7166922
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#>  [4909,]  9.8661730
#>  [4910,]  5.3336060
#>  [4911,]  8.7160948
#>  [4912,]  8.7098329
#>  [4913,] 10.2645201
#>  [4914,]  8.5609149
#>  [4915,] 10.0483053
#>  [4916,]  7.6953311
#>  [4917,]  8.1042600
#>  [4918,] 10.1182856
#>  [4919,] 13.5872014
#>  [4920,] 15.5912358
#>  [4921,]  3.0747066
#>  [4922,]  3.5980221
#>  [4923,]  6.3579825
#>  [4924,]  1.5045461
#>  [4925,]  3.7147873
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#>  [4928,]  6.2184982
#>  [4929,]  3.8662180
#>  [4930,]  2.6440066
#>  [4931,]  3.9690599
#>  [4932,]  4.7599284
#>  [4933,]  5.9722338
#>  [4934,]  6.3360477
#>  [4935,]  5.8432492
#>  [4936,] 14.8660324
#>  [4937,] 10.1167667
#>  [4938,]  6.4614503
#>  [4939,] 12.0064932
#>  [4940,]  4.6615661
#>  [4941,]  3.8316681
#>  [4942,]  3.7993873
#>  [4943,] 10.1344765
#>  [4944,] 18.3322913
#>  [4945,] 20.7541794
#>  [4946,]  8.4378920
#>  [4947,] 10.9375512
#>  [4948,] 13.5518136
#>  [4949,] 11.9586400
#>  [4950,]  7.3756504
#>  [4951,]  7.0619653
#>  [4952,]  4.9869408
#>  [4953,]  8.7464587
#>  [4954,]  4.7550641
#>  [4955,]  5.5760262
#>  [4956,]  6.6205174
#>  [4957,] 10.5530907
#>  [4958,]  9.9482850
#>  [4959,]  7.8411209
#>  [4960,] 14.8780742
#>  [4961,] 17.3308264
#>  [4962,] 12.6928713
#>  [4963,]  9.8883309
#>  [4964,]  9.9521303
#>  [4965,]  6.4563563
#>  [4966,] 12.1237366
#>  [4967,]  9.8294469
#>  [4968,]  9.4412771
#>  [4969,] 14.8326668
#>  [4970,]  4.3752040
#>  [4971,]  5.8068422
#>  [4972,]  2.7341867
#>  [4973,]  2.2714547
#>  [4974,]  1.2037530
#>  [4975,]  2.6728657
#>  [4976,]  3.5981126
#>  [4977,]  1.8722018
#>  [4978,]  0.8821004
#>  [4979,]  1.0616411
#>  [4980,]  2.9960964
#>  [4981,]  2.4513759
#>  [4982,]  6.9142737
#>  [4983,]  3.3590963
#>  [4984,]  5.0017299
#>  [4985,]  0.6084865
#>  [4986,]  1.7837590
#>  [4987,]  7.2501281
#>  [4988,] 15.8015836
#>  [4989,] 10.8529548
#>  [4990,] 20.4104642
#>  [4991,] 29.7347367
#>  [4992,] 17.0607025
#>  [4993,]  9.5640224
#>  [4994,] 16.4685198
#>  [4995,] 18.6367477
#>  [4996,] 25.1280160
#>  [4997,] 12.1120547
#>  [4998,] 15.5940572
#>  [4999,]  5.5419484
#>  [5000,]  5.3181427
#>  [5001,] 12.3768513
#>  [5002,] 15.2738422
#>  [5003,] 16.2954254
#>  [5004,] 10.9795013
#>  [5005,]  7.8214272
#>  [5006,] 10.9855323
#>  [5007,]  5.5795486
#>  [5008,]  3.6811438
#>  [5009,]  3.9859307
#>  [5010,]  5.5405864
#>  [5011,]  4.1072331
#>  [5012,]  8.3661598
#>  [5013,]  6.9587373
#>  [5014,] 14.5263646
#>  [5015,]  9.6220907
#>  [5016,]  5.7798852
#>  [5017,]  2.9120224
#>  [5018,]  1.5636192
#>  [5019,]  0.6722188
#>  [5020,]  0.7383626
#>  [5021,]  1.8124702
#>  [5022,]  1.2623547
#>  [5023,]  2.6117217
#>  [5024,]  1.6882449
#>  [5025,]  6.7647950
#>  [5026,]  5.9092710
#>  [5027,] 13.7200089
#>  [5028,]  2.4988745
#>  [5029,]  3.9008972
#>  [5030,]  7.0347253
#>  [5031,]  6.7395353
#>  [5032,]  4.8953253
#>  [5033,] 13.9191460
#>  [5034,]  5.9718890
#>  [5035,]  1.9584566
#>  [5036,]  2.5693242
#>  [5037,]  2.1985244
#>  [5038,]  2.5424349
#>  [5039,]  4.5705473
#>  [5040,]  3.4360555
#>  [5041,]  5.9398283
#>  [5042,] 17.9648257
#>  [5043,] 18.8418992
#>  [5044,] 19.8739606
#>  [5045,] 11.5744670
#>  [5046,]  7.3882361
#>  [5047,]  5.4739052
#>  [5048,]  7.6202694
#>  [5049,] 13.1243823
#>  [5050,] 12.2123981
#>  [5051,]  5.7831025
#>  [5052,]  7.0370861
#>  [5053,]  7.7704254
#>  [5054,]  3.4345319
#>  [5055,]  3.8672315
#>  [5056,]  8.8992495
#>  [5057,] 13.8173140
#>  [5058,]  9.7356898
#>  [5059,]  3.1912400
#>  [5060,]  4.0483543
#>  [5061,] 10.1510049
#>  [5062,] 16.7120025
#>  [5063,]  9.9192286
#>  [5064,] 17.1086982
#>  [5065,] 10.4750275
#>  [5066,] 15.4971190
#>  [5067,] 12.6790721
#>  [5068,] 15.2398510
#>  [5069,] 10.1534404
#>  [5070,] 12.4029848
#>  [5071,] 26.0466145
#>  [5072,] 20.3285684
#>  [5073,]  5.3847378
#>  [5074,]  8.6508716
#>  [5075,]  3.0350855
#>  [5076,]  3.3023158
#>  [5077,]  2.6508523
#>  [5078,]  4.4349170
#>  [5079,]  2.5159423
#>  [5080,]  3.2746486
#>  [5081,]  5.2781307
#>  [5082,]  6.6468385
#>  [5083,]  6.6432516
#>  [5084,] 22.9912217
#>  [5085,] 18.7289877
#>  [5086,] 20.3941605
#>  [5087,] 21.8892734
#>  [5088,]  9.9023364
#>  [5089,] 13.3928595
#>  [5090,]  7.8452505
#>  [5091,]  4.4730902
#>  [5092,]  4.4157763
#>  [5093,]  8.4771179
#>  [5094,] 16.2031628
#>  [5095,]  7.2610500
#>  [5096,]  3.1675663
#>  [5097,]  4.0706078
#>  [5098,]  1.4372117
#>  [5099,]  0.7004308
#>  [5100,]  1.0285107
#>  [5101,]  1.2831120
#>  [5102,]  1.7413322
#>  [5103,]  1.1686557
#>  [5104,]  6.6672484
#>  [5105,]  6.7826886
#>  [5106,]  5.1231589
#>  [5107,]  6.5564243
#>  [5108,]  6.2561248
#>  [5109,]  5.7974359
#>  [5110,] 15.4173106
#>  [5111,]  8.5012285
#>  [5112,]  8.6965910
#>  [5113,] 17.0968018
#>  [5114,] 20.5852368
#>  [5115,] 19.5653590
#>  [5116,] 22.7479022
#>  [5117,] 40.6422108
#>  [5118,] 28.5881323
#>  [5119,] 19.7379127
#>  [5120,]  7.9908822
#>  [5121,]  8.6022311
#>  [5122,]  8.9448192
#>  [5123,]  6.4045890
#>  [5124,] 12.1821983
#>  [5125,] 11.2973319
#>  [5126,] 10.7271931
#>  [5127,] 17.0171731
#>  [5128,] 11.9840445
#>  [5129,] 10.0383159
#>  [5130,] 17.7891156
#>  [5131,] 30.5601040
#>  [5132,] 24.5159051
#>  [5133,] 13.7165036
#>  [5134,] 21.8098237
#>  [5135,] 31.9700534
#>  [5136,] 29.0148631
#>  [5137,] 24.0554565
#>  [5138,] 24.3923856
#>  [5139,] 15.4711967
#>  [5140,] 20.2003100
#>  [5141,]  5.9288370
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#>  [5144,]  3.2007733
#>  [5145,]  9.7619786
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#>  [5148,] 16.1013858
#>  [5149,] 11.1211295
#>  [5150,] 10.4030550
#>  [5151,]  7.6106599
#>  [5152,]  9.3698685
#>  [5153,] 18.0871084
#>  [5154,] 19.8860528
#>  [5155,]  4.3356930
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#>  [5161,]  3.4620824
#>  [5162,]  4.4817321
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#>  [5167,]  6.1074172
#>  [5168,]  8.1169368
#>  [5169,] 15.2056257
#>  [5170,]  7.8509462
#>  [5171,] 13.7554931
#>  [5172,]  8.7998140
#>  [5173,]  4.3375097
#>  [5174,]  6.2186371
#>  [5175,]  4.1988840
#>  [5176,] 11.3501160
#>  [5177,] 12.4804256
#>  [5178,]  6.4328120
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#>  [5181,]  2.6161605
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#>  [5183,] 13.1764940
#>  [5184,]  9.3322448
#>  [5185,]  6.4410008
#>  [5186,]  4.1698124
#>  [5187,]  5.2247622
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#>  [5189,]  9.5856611
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#>  [5192,] 12.5279717
#>  [5193,] 20.4835738
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#>  [5241,] 22.6992324
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#>  [5270,] 18.1120656
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#>  [5276,] 13.5148753
#>  [5277,] 10.5475723
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#>  [5280,] 42.1075106
#>  [5281,] 31.2613460
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#>  [5303,] 23.7759386
#>  [5304,] 29.1324485
#>  [5305,] 22.9662607
#>  [5306,] 17.9923143
#>  [5307,] 12.0096325
#>  [5308,] 49.9004056
#>  [5309,] 40.5048542
#>  [5310,] 22.6078809
#>  [5311,]  8.8703933
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#>  [5394,]  9.5299956
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#>  [5396,]  7.1280797
#>  [5397,] 11.3081117
#>  [5398,]  9.1729180
#>  [5399,] 28.3211376
#>  [5400,] 14.7491164
#>  [5401,] 15.9570007
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#>  [5403,]  9.1266613
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#>  [5407,]  2.0128579
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#>  [5413,]  2.9334908
#>  [5414,]  7.0470104
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#>  [5416,]  8.2078752
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#>  [5420,]  3.7255611
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#>  [5422,] 12.3139649
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#>  [5425,]  2.0360633
#>  [5426,]  7.5675342
#>  [5427,] 13.9113636
#>  [5428,]  7.2228417
#>  [5429,] 15.0116306
#>  [5430,] 15.8462124
#>  [5431,] 12.7935204
#>  [5432,]  9.0595960
#>  [5433,] 10.4767198
#>  [5434,]  8.5206715
#>  [5435,]  9.6504395
#>  [5436,]  8.4585648
#>  [5437,] 10.5323341
#>  [5438,]  8.8058909
#>  [5439,]  4.9839563
#>  [5440,]  2.6586715
#>  [5441,]  7.2295664
#>  [5442,]  6.1974478
#>  [5443,]  6.5773484
#>  [5444,]  6.2290587
#>  [5445,]  5.2955661
#>  [5446,]  4.3226081
#>  [5447,] 10.6702116
#>  [5448,] 24.6877016
#>  [5449,]  9.3127261
#>  [5450,]  3.9209479
#>  [5451,]  2.5506724
#>  [5452,]  2.2147954
#>  [5453,]  2.1976736
#>  [5454,]  5.0350084
#>  [5455,]  7.0280177
#>  [5456,] 15.4411636
#>  [5457,]  8.1899604
#>  [5458,]  4.1476726
#>  [5459,]  6.9712381
#>  [5460,]  7.4075256
#>  [5461,]  3.1767951
#>  [5462,]  6.4623889
#>  [5463,]  3.9918761
#>  [5464,]  3.2626705
#>  [5465,]  3.0712648
#>  [5466,]  1.6278634
#>  [5467,]  2.1996487
#>  [5468,]  2.3720772
#>  [5469,]  3.8130729
#>  [5470,]  3.2032824
#>  [5471,]  5.0093035
#>  [5472,]  2.8514468
#>  [5473,]  3.4264293
#>  [5474,]  7.7276166
#>  [5475,]  8.5703611
#>  [5476,] 12.0763793
#>  [5477,] 15.1184673
#>  [5478,] 21.5356218
#>  [5479,] 33.5978224
#>  [5480,] 21.3957718
#>  [5481,] 15.9780378
#>  [5482,] 21.1802032
#>  [5483,] 19.5414287
#>  [5484,] 18.9228521
#>  [5485,]  7.7829569
#>  [5486,]  8.8919958
#>  [5487,]  2.2358755
#>  [5488,]  5.0529625
#>  [5489,]  2.0437333
#>  [5490,]  2.0575813
#>  [5491,]  1.8202024
#>  [5492,]  0.2088195
#>  [5493,]  1.3338501
#>  [5494,]  6.3639004
#>  [5495,]  6.7962739
#>  [5496,]  5.8385103
#>  [5497,]  8.1825358
#>  [5498,] 10.5357986
#>  [5499,]  8.4426760
#>  [5500,]  6.8139050
#>  [5501,]  4.8759139
#>  [5502,]  4.2449211
#>  [5503,]  7.3868766
#>  [5504,]  8.7572205
#>  [5505,]  6.1211426
#>  [5506,]  3.5780311
#>  [5507,]  2.4048820
#>  [5508,]  9.7080946
#>  [5509,]  7.3030521
#>  [5510,]  6.5654188
#>  [5511,]  5.5572891
#>  [5512,] 10.7615717
#>  [5513,]  4.6365566
#>  [5514,]  4.9992307
#>  [5515,]  4.2649341
#>  [5516,]  5.3235807
#>  [5517,]  3.2589126
#>  [5518,]  3.6825728
#>  [5519,]  0.6609660
#>  [5520,]  1.5296313
#>  [5521,]  1.2494851
#>  [5522,]  2.4360987
#>  [5523,]  1.5392551
#>  [5524,]  2.9780322
#>  [5525,]  7.6077701
#>  [5526,]  8.1670939
#>  [5527,]  5.1451640
#>  [5528,]  5.5746750
#>  [5529,]  8.6429912
#>  [5530,]  8.7382175
#>  [5531,] 17.3785060
#>  [5532,] 11.4443673
#>  [5533,] 19.1112447
#>  [5534,] 10.3209338
#>  [5535,] 10.3978843
#>  [5536,] 16.6133706
#>  [5537,] 15.6379092
#>  [5538,] 17.2175834
#>  [5539,] 23.9629176
#>  [5540,] 14.9251827
#>  [5541,] 23.2879239
#>  [5542,] 21.0232554
#>  [5543,] 22.9150500
#>  [5544,] 29.6196555
#>  [5545,] 19.9777705
#>  [5546,] 17.4595516
#>  [5547,] 10.5769946
#>  [5548,] 16.7285160
#>  [5549,] 14.0709886
#>  [5550,] 14.4903572
#>  [5551,]  7.9793467
#>  [5552,]  4.4991534
#>  [5553,]  3.8792518
#>  [5554,]  2.5772904
#>  [5555,]  2.0632495
#>  [5556,]  0.9200863
#>  [5557,]  1.1124102
#>  [5558,]  5.5353597
#>  [5559,]  3.4230237
#>  [5560,] 12.4915448
#>  [5561,] 16.2066969
#>  [5562,] 14.5423270
#>  [5563,]  5.4845251
#>  [5564,]  2.9265385
#>  [5565,]  9.5948360
#>  [5566,] 12.7399735
#>  [5567,]  8.3975185
#>  [5568,]  7.7715981
#>  [5569,]  7.0150740
#>  [5570,]  2.3328633
#>  [5571,]  1.9739799
#>  [5572,]  3.2475513
#>  [5573,]  6.0960489
#>  [5574,]  7.3715158
#>  [5575,]  8.0648978
#>  [5576,] 11.1349524
#>  [5577,]  7.2248170
#>  [5578,]  6.7474494
#>  [5579,]  6.1725164
#>  [5580,] 12.2947313
#>  [5581,]  5.0442527
#>  [5582,]  2.8879495
#>  [5583,]  1.5012312
#>  [5584,]  2.7367839
#>  [5585,]  1.2431238
#>  [5586,]  3.1769830
#>  [5587,]  3.4661494
#>  [5588,]  2.0760394
#>  [5589,]  2.8140591
#>  [5590,]  5.1568831
#>  [5591,]  6.7942471
#>  [5592,]  8.8903212
#>  [5593,] 14.4037907
#>  [5594,] 11.5189955
#>  [5595,]  8.4466244
#>  [5596,] 10.1754761
#>  [5597,]  4.5483875
#>  [5598,]  3.7460724
#>  [5599,]  1.5595104
#>  [5600,]  1.8470661
#>  [5601,]  0.1948917
#>  [5602,]  1.0950561
#>  [5603,]  1.2995310
#>  [5604,]  3.4810882
#>  [5605,]  3.9238809
#>  [5606,]  5.8401378
#>  [5607,]  7.5917445
#>  [5608,] 10.6925489
#>  [5609,] 15.9259405
#>  [5610,] 12.0356074
#>  [5611,] 25.7622718
#>  [5612,] 18.8682738
#>  [5613,] 17.0206662
#>  [5614,] 12.4989636
#>  [5615,] 28.0688501
#>  [5616,] 22.2967539
#>  [5617,] 25.1207511
#>  [5618,] 27.2378428
#>  [5619,] 11.7930721
#>  [5620,] 11.5166420
#>  [5621,]  9.6349107
#>  [5622,]  5.1354901
#>  [5623,]  8.5214180
#>  [5624,]  7.9618588
#>  [5625,]  6.6744135
#>  [5626,] 13.2764995
#>  [5627,] 18.6058617
#>  [5628,] 10.9400501
#>  [5629,] 15.1826285
#>  [5630,]  7.9403650
#>  [5631,] 10.6632841
#>  [5632,]  7.9044797
#>  [5633,]  4.5678736
#>  [5634,]  8.1387397
#>  [5635,] 19.1044131
#>  [5636,] 27.9018165
#>  [5637,] 13.2046118
#>  [5638,] 20.1083662
#>  [5639,] 15.3898366
#>  [5640,]  8.0431239
#>  [5641,] 18.8908828
#>  [5642,] 12.4146260
#>  [5643,] 16.0411802
#>  [5644,]  7.5652573
#>  [5645,] 13.4944829
#>  [5646,] 10.7578655
#>  [5647,]  7.0686098
#>  [5648,] 10.8001821
#>  [5649,]  4.3037419
#>  [5650,]  1.1945575
#>  [5651,]  4.0380190
#>  [5652,]  3.1684643
#>  [5653,]  1.2722419
#>  [5654,]  0.9724653
#>  [5655,]  3.3779311
#>  [5656,]  5.8773740
#>  [5657,]  5.0480074
#>  [5658,]  1.1445795
#>  [5659,]  1.5298431
#>  [5660,]  3.7366290
#>  [5661,]  7.6110962
#>  [5662,]  9.3275769
#>  [5663,]  8.4510090
#>  [5664,]  2.5181026
#>  [5665,]  1.6643214
#>  [5666,]  1.6808609
#>  [5667,]  1.6346914
#>  [5668,]  0.5676368
#>  [5669,]  1.8478784
#>  [5670,]  1.7565134
#>  [5671,]  1.4302670
#>  [5672,]  4.8235486
#>  [5673,]  9.8024858
#>  [5674,] 14.7325575
#>  [5675,] 28.6117764
#>  [5676,] 20.7689641
#>  [5677,] 19.7093971
#>  [5678,] 20.7837544
#>  [5679,] 23.5730073
#>  [5680,]  9.7324277
#>  [5681,]  6.2864575
#>  [5682,]  7.0067755
#>  [5683,]  4.2562846
#>  [5684,]  1.7306368
#>  [5685,]  4.5354111
#>  [5686,]  6.4721553
#>  [5687,] 11.2778377
#>  [5688,]  3.8138951
#>  [5689,]  2.3861698
#>  [5690,]  7.4102929
#>  [5691,]  2.2187521
#>  [5692,]  4.6209557
#>  [5693,]  8.5617479
#>  [5694,]  4.4333771
#>  [5695,]  3.5726422
#>  [5696,]  2.6658573
#>  [5697,]  4.2085550
#>  [5698,]  6.5762114
#>  [5699,] 12.5187381
#>  [5700,]  4.1921984
#>  [5701,]  3.9814921
#>  [5702,]  6.9697750
#>  [5703,]  6.6375255
#>  [5704,]  8.7711715
#>  [5705,] 15.9956816
#>  [5706,] 12.2734715
#>  [5707,]  8.5559824
#>  [5708,] 12.1189765
#>  [5709,] 16.2187167
#>  [5710,] 34.5450129
#>  [5711,] 16.2846512
#>  [5712,]  9.2585112
#>  [5713,] 10.4002938
#>  [5714,] 13.3738178
#>  [5715,] 14.4689894
#>  [5716,] 11.9395936
#>  [5717,] 21.0141324
#>  [5718,]  8.6764227
#>  [5719,] 11.5236478
#>  [5720,] 10.6498720
#>  [5721,]  6.1489171
#>  [5722,] 10.5430758
#>  [5723,] 11.4517975
#>  [5724,] 36.5922078
#>  [5725,] 12.2239156
#>  [5726,]  3.1415511
#>  [5727,]  3.7860022
#>  [5728,]  5.0121178
#>  [5729,]  1.6392751
#>  [5730,]  7.6706326
#>  [5731,]  3.6930680
#>  [5732,]  1.4944288
#>  [5733,]  2.4848419
#>  [5734,]  3.0253081
#>  [5735,]  0.5317399
#>  [5736,]  5.0340392
#>  [5737,]  4.5098243
#>  [5738,]  3.7754603
#>  [5739,]  8.8668046
#>  [5740,] 23.4697863
#>  [5741,] 19.4081420
#>  [5742,] 20.1478140
#>  [5743,] 26.3277904
#>  [5744,] 25.4763009
#>  [5745,] 26.3857330
#>  [5746,] 16.7609721
#>  [5747,] 11.3476907
#>  [5748,]  6.3840741
#>  [5749,]  6.7782183
#>  [5750,]  4.6658872
#>  [5751,]  2.8010138
#>  [5752,]  2.4695804
#>  [5753,]  3.6240861
#>  [5754,]  4.8515732
#>  [5755,]  7.6235272
#>  [5756,]  8.1457690
#>  [5757,] 27.3179686
#>  [5758,] 11.0799840
#>  [5759,] 14.6674063
#>  [5760,] 12.7298469
#>  [5761,]  7.1818669
#>  [5762,]  6.2905586
#>  [5763,]  4.3981327
#>  [5764,]  6.1370918
#>  [5765,] 13.2457248
#>  [5766,] 13.3626597
#>  [5767,] 12.5131482
#>  [5768,] 14.1049764
#>  [5769,] 11.6971480
#>  [5770,] 14.2364993
#>  [5771,] 10.5637354
#>  [5772,]  9.2090757
#>  [5773,]  9.3930267
#>  [5774,] 11.3566481
#>  [5775,] 19.5085867
#>  [5776,] 37.7132071
#>  [5777,] 14.7573303
#>  [5778,] 11.4716364
#>  [5779,] 13.6095996
#>  [5780,] 12.3754990
#>  [5781,] 12.6391701
#>  [5782,]  8.0654116
#>  [5783,]  8.9645392
#>  [5784,] 17.6116927
#>  [5785,] 11.9132307
#>  [5786,]  6.3887833
#>  [5787,]  3.4101284
#>  [5788,]  4.7733018
#>  [5789,] 11.0428545
#>  [5790,]  7.2264473
#>  [5791,]  6.7558724
#>  [5792,]  7.4094196
#>  [5793,] 11.0955389
#>  [5794,] 11.3894487
#>  [5795,] 10.5726273
#>  [5796,]  5.3846304
#>  [5797,] 10.8792075
#>  [5798,] 13.4222338
#>  [5799,] 12.3198847
#>  [5800,]  7.6491507
#>  [5801,]  9.6097258
#>  [5802,]  7.3794452
#>  [5803,]  7.7721171
#>  [5804,]  6.9306775
#>  [5805,]  7.6820322
#>  [5806,]  5.1886535
#>  [5807,]  3.2743366
#>  [5808,]  7.6529391
#>  [5809,]  3.4389135
#>  [5810,]  3.4194012
#>  [5811,] 22.8825070
#>  [5812,] 28.2809054
#>  [5813,]  2.6558312
#>  [5814,]  2.0565111
#>  [5815,]  2.9876513
#>  [5816,]  6.2506680
#>  [5817,]  7.7807664
#>  [5818,] 20.4921956
#>  [5819,] 15.2475526
#>  [5820,]  8.2838645
#>  [5821,]  8.7486990
#>  [5822,] 16.0167433
#>  [5823,]  4.4327881
#>  [5824,]  7.0405024
#>  [5825,]  7.9385916
#>  [5826,]  6.4897937
#>  [5827,]  9.4795719
#>  [5828,]  9.3739926
#>  [5829,]  3.5298940
#>  [5830,]  2.2357850
#>  [5831,]  1.1530786
#>  [5832,]  1.3990691
#>  [5833,]  0.3331259
#>  [5834,]  3.0695590
#>  [5835,]  0.5516790
#>  [5836,]  2.0210161
#>  [5837,]  2.7940013
#>  [5838,]  1.5144774
#>  [5839,]  0.9641855
#>  [5840,]  1.0655609
#>  [5841,]  4.7314711
#>  [5842,]  3.7936756
#>  [5843,]  4.9362680
#>  [5844,]  6.2839082
#>  [5845,]  2.6888344
#>  [5846,]  3.1542885
#>  [5847,]  2.7051175
#>  [5848,]  4.5379406
#>  [5849,]  2.9942373
#>  [5850,]  3.7802115
#>  [5851,]  7.1121506
#>  [5852,]  7.8917271
#>  [5853,]  3.1706838
#>  [5854,]  9.7226647
#>  [5855,]  2.9053750
#>  [5856,]  3.5906626
#>  [5857,]  3.1726310
#>  [5858,]  1.3551570
#>  [5859,]  1.1097209
#>  [5860,]  2.2387465
#>  [5861,]  5.1028264
#>  [5862,]  4.7004418
#>  [5863,]  4.7783715
#>  [5864,] 10.9999354
#>  [5865,]  7.4981269
#>  [5866,]  7.8618278
#>  [5867,]  9.9041734
#>  [5868,] 14.2715334
#>  [5869,]  5.2350166
#>  [5870,]  5.9985731
#>  [5871,]  2.2896054
#>  [5872,]  5.1786964
#>  [5873,]  2.0096187
#>  [5874,]  5.0684009
#>  [5875,]  0.7580454
#>  [5876,]  4.4504551
#>  [5877,]  4.4684359
#>  [5878,]  5.0671153
#>  [5879,]  5.1316203
#>  [5880,]  3.6610850
#>  [5881,]  4.7267998
#>  [5882,]  2.7249264
#>  [5883,]  1.6603194
#>  [5884,]  2.1001034
#>  [5885,]  5.0753503
#>  [5886,]  1.9713301
#>  [5887,]  0.7816564
#>  [5888,]  0.8614896
#>  [5889,]  0.3914422
#>  [5890,]  1.8466701
#>  [5891,]  3.8517209
#>  [5892,]  3.6778743
#>  [5893,]  3.2699978
#>  [5894,]  4.3921255
#>  [5895,]  1.9951499
#>  [5896,]  2.8245019
#>  [5897,]  6.8061771
#>  [5898,]  2.5712512
#>  [5899,]  1.8020986
#>  [5900,]  5.8449024
#>  [5901,] 11.3636779
#>  [5902,] 26.6043364
#>  [5903,] 19.8958421
#>  [5904,] 18.1709535
#>  [5905,] 16.9718827
#>  [5906,] 13.0852093
#>  [5907,]  8.8137322
#>  [5908,]  9.1664530
#>  [5909,]  5.9897611
#>  [5910,] 11.7503162
#>  [5911,]  7.1101766
#>  [5912,]  9.2118294
#>  [5913,] 15.1982265
#>  [5914,] 22.4850783
#>  [5915,] 19.5330993
#>  [5916,] 14.7684044
#>  [5917,]  4.5296190
#>  [5918,]  0.5335804
#>  [5919,]  1.4831174
#>  [5920,]  4.3342237
#>  [5921,]  3.4119278
#>  [5922,]  3.2640882
#>  [5923,]  3.9860119
#>  [5924,]  1.6100361
#>  [5925,]  2.0037609
#>  [5926,]  5.7270130
#>  [5927,]  6.5645504
#>  [5928,]  8.4171937
#>  [5929,]  5.1818470
#>  [5930,]  9.5060252
#>  [5931,] 11.8616418
#>  [5932,]  8.2690486
#>  [5933,] 10.8761234
#>  [5934,]  7.7602278
#>  [5935,]  6.9042998
#>  [5936,] 14.0294717
#>  [5937,] 12.3310027
#>  [5938,] 16.5520940
#>  [5939,] 21.4166358
#>  [5940,] 38.5795700
#>  [5941,] 24.7030877
#>  [5942,]  8.7595311
#>  [5943,]  6.0394622
#>  [5944,]  9.1391224
#>  [5945,] 25.5262992
#>  [5946,] 19.2708904
#>  [5947,] 15.3030782
#>  [5948,]  6.5068096
#>  [5949,]  3.3572798
#>  [5950,]  3.1809374
#>  [5951,]  5.8134429
#>  [5952,]  5.5766158
#>  [5953,]  6.2480526
#>  [5954,]  3.9829162
#>  [5955,] 11.3413436
#>  [5956,]  5.2601574
#>  [5957,]  9.3887470
#>  [5958,] 12.4739752
#>  [5959,]  6.7220796
#>  [5960,]  9.8988395
#>  [5961,] 11.7673952
#>  [5962,]  7.6520446
#>  [5963,]  9.0013261
#>  [5964,]  9.5481709
#>  [5965,] 20.5487874
#>  [5966,] 19.3117970
#>  [5967,] 35.3825062
#>  [5968,] 21.6512412
#>  [5969,]  4.8988241
#>  [5970,] 11.4049491
#>  [5971,] 13.9344153
#>  [5972,] 15.5463939
#>  [5973,] 20.9217802
#>  [5974,]  9.9571009
#>  [5975,]  4.6167087
#>  [5976,]  4.8188061
#>  [5977,]  6.6399537
#>  [5978,] 11.9054565
#>  [5979,]  6.8278562
#>  [5980,] 10.3344329
#>  [5981,] 11.9944262
#>  [5982,]  9.7569308
#>  [5983,] 26.3830621
#>  [5984,] 15.4127404
#>  [5985,] 21.6583056
#>  [5986,] 13.7177531
#>  [5987,] 12.0301452
#>  [5988,]  7.9856034
#>  [5989,]  6.0680968
#>  [5990,] 11.2436797
#>  [5991,] 11.7991838
#>  [5992,]  8.8776162
#>  [5993,]  6.8644048
#>  [5994,]  4.5987900
#>  [5995,]  2.5466394
#>  [5996,]  5.7048173
#>  [5997,]  6.5343233
#>  [5998,]  8.6272055
#>  [5999,]  5.0096033
#>  [6000,]  2.7802880
#>  [6001,]  6.0677568
#>  [6002,]  7.7639894
#>  [6003,]  6.1756175
#>  [6004,]  1.3647985
#>  [6005,]  2.8779316
#>  [6006,]  3.6227468
#>  [6007,]  5.6020255
#>  [6008,] 11.9925749
#>  [6009,]  7.1514062
#>  [6010,] 17.6439753
#>  [6011,] 13.7812219
#>  [6012,] 24.3595138
#>  [6013,] 21.0411370
#>  [6014,]  9.7025863
#>  [6015,]  4.4247062
#>  [6016,]  5.9956382
#>  [6017,]  5.0162198
#>  [6018,] 10.6288231
#>  [6019,] 10.4498597
#>  [6020,] 12.9240592
#>  [6021,] 34.1468766
#>  [6022,] 34.2858664
#>  [6023,]  9.6155359
#>  [6024,]  9.2549599
#>  [6025,]  9.7367351
#>  [6026,]  4.0180509
#>  [6027,]  6.7346879
#>  [6028,] 12.2448749
#>  [6029,]  9.1863684
#>  [6030,]  6.6673533
#>  [6031,]  9.5878312
#>  [6032,]  8.0931531
#>  [6033,]  8.7004703
#>  [6034,]  4.0849215
#>  [6035,]  3.5889629
#>  [6036,] 10.0580691
#>  [6037,] 20.1378342
#>  [6038,]  6.5653291
#>  [6039,]  4.3029913
#>  [6040,]  3.8066340
#>  [6041,]  5.8619920
#>  [6042,]  2.3758730
#>  [6043,]  0.9642480
#>  [6044,]  2.1332667
#>  [6045,]  2.6787420
#>  [6046,]  5.7124559
#>  [6047,]  4.4279077
#>  [6048,]  9.1603335
#>  [6049,] 14.5420961
#>  [6050,]  4.6802644
#>  [6051,]  3.1820612
#>  [6052,]  3.8420630
#>  [6053,]  0.6440850
#>  [6054,]  0.6542745
#>  [6055,]  2.5773779
#>  [6056,]  1.1973737
#>  [6057,]  0.5419013
#>  [6058,]  1.4477779
#>  [6059,]  1.9350143
#>  [6060,]  3.4060074
#>  [6061,]  3.9018464
#>  [6062,]  3.9442942
#>  [6063,]  4.3027332
#>  [6064,]  3.8169516
#>  [6065,]  3.3554138
#>  [6066,]  2.6255650
#>  [6067,]  3.9894945
#>  [6068,]  6.3150902
#>  [6069,] 11.1816085
#>  [6070,]  8.3985751
#>  [6071,] 12.0139638
#>  [6072,]  8.8815344
#>  [6073,]  4.1469678
#>  [6074,]  1.7743645
#>  [6075,]  2.5377781
#>  [6076,]  1.8488681
#>  [6077,]  2.6313704
#>  [6078,]  1.9253372
#>  [6079,]  2.0442956
#>  [6080,]  3.8029307
#>  [6081,]  4.0445519
#>  [6082,] 15.6192629
#>  [6083,] 15.3252314
#>  [6084,] 21.4797869
#>  [6085,] 13.9927793
#>  [6086,] 16.3546129
#>  [6087,] 16.7024767
#>  [6088,] 16.0686595
#>  [6089,] 15.5198815
#>  [6090,] 12.9915631
#>  [6091,] 10.5170040
#>  [6092,]  8.3109112
#>  [6093,] 13.4871926
#>  [6094,]  6.4831328
#>  [6095,]  6.8960136
#>  [6096,]  7.9547365
#>  [6097,] 16.1914051
#>  [6098,] 17.5322378
#>  [6099,] 15.8863796
#>  [6100,]  6.1643212
#>  [6101,]  8.6606702
#>  [6102,]  4.0900490
#>  [6103,] 11.4937831
#>  [6104,] 13.9316372
#>  [6105,]  9.7848051
#>  [6106,] 16.3669155
#>  [6107,] 18.9805744
#>  [6108,] 20.5331285
#>  [6109,] 45.0935079
#>  [6110,] 26.3216902
#>  [6111,] 12.4472792
#>  [6112,] 13.6297797
#>  [6113,] 17.7257383
#>  [6114,] 10.3921045
#>  [6115,] 10.9386570
#>  [6116,]  6.4309403
#>  [6117,]  8.6460384
#>  [6118,]  8.3625071
#>  [6119,] 11.3448775
#>  [6120,] 14.2526889
#>  [6121,] 11.9154526
#>  [6122,] 11.6693976
#>  [6123,] 13.4290357
#>  [6124,] 13.2856461
#>  [6125,] 19.0657479
#>  [6126,] 14.0053081
#>  [6127,] 12.3605130
#>  [6128,] 18.2630788
#>  [6129,] 38.2177614
#>  [6130,] 11.6947279
#>  [6131,] 11.2157424
#>  [6132,] 11.4003904
#>  [6133,]  5.9288527
#>  [6134,]  3.8408228
#>  [6135,] 10.3866115
#>  [6136,]  7.1721014
#>  [6137,]  4.6268121
#>  [6138,]  4.2526949
#>  [6139,]  8.3981412
#>  [6140,]  4.5948579
#>  [6141,]  3.5648928
#>  [6142,]  3.6417385
#>  [6143,]  0.8788675
#>  [6144,]  2.3931905
#>  [6145,]  3.0553311
#>  [6146,]  2.1846429
#>  [6147,]  3.4172999
#>  [6148,]  3.4484380
#>  [6149,]  1.3455123
#>  [6150,]  2.1007404
#>  [6151,]  2.3041701
#>  [6152,]  3.1538091
#>  [6153,]  3.4629394
#>  [6154,]  4.2034544
#>  [6155,]  2.3939831
#>  [6156,]  6.8368408
#>  [6157,]  6.5449911
#>  [6158,]  9.1194836
#>  [6159,]  9.6178134
#>  [6160,]  5.6985454
#>  [6161,] 11.4372805
#>  [6162,] 21.0990976
#>  [6163,] 18.7728775
#>  [6164,] 13.6892722
#>  [6165,]  9.6539830
#>  [6166,]  9.2948463
#>  [6167,]  8.7831735
#>  [6168,] 18.2480538
#>  [6169,]  4.4538958
#>  [6170,]  7.1122485
#>  [6171,]  5.9547117
#>  [6172,] 10.3509708
#>  [6173,]  2.8582936
#>  [6174,]  1.5147391
#>  [6175,]  1.3584945
#>  [6176,]  3.0924263
#>  [6177,]  2.2455842
#>  [6178,]  8.0393626
#>  [6179,]  7.5175190
#>  [6180,]  6.4333652
#>  [6181,]  3.8877087
#>  [6182,]  4.2639580
#>  [6183,]  4.5300044
#>  [6184,]  6.0076821
#>  [6185,]  7.0436812
#>  [6186,]  7.5473669
#>  [6187,]  4.0937817
#>  [6188,]  0.7768238
#>  [6189,]  1.0140863
#>  [6190,]  3.0537083
#>  [6191,]  6.4607506
#>  [6192,]  6.1521189
#>  [6193,]  7.4761675
#>  [6194,] 10.1118981
#>  [6195,]  7.5948163
#>  [6196,]  3.6498623
#>  [6197,]  4.5845033
#>  [6198,]  4.9885625
#>  [6199,]  3.1757176
#>  [6200,]  5.6578763
#>  [6201,]  2.9733131
#>  [6202,]  9.6487194
#>  [6203,]  1.8093988
#>  [6204,]  1.6808693
#>  [6205,]  1.3934716
#>  [6206,]  2.3900942
#>  [6207,]  5.3235734
#>  [6208,]  1.5029369
#>  [6209,]  1.4307608
#>  [6210,]  1.4049285
#>  [6211,]  2.4393822
#>  [6212,]  3.5550548
#>  [6213,] 17.0798838
#>  [6214,] 15.1387567
#>  [6215,] 17.4051530
#>  [6216,] 30.1433782
#>  [6217,] 24.4419310
#>  [6218,] 42.8186851
#>  [6219,] 29.9680182
#>  [6220,] 21.6219726
#>  [6221,] 19.3381088
#>  [6222,] 20.7158870
#>  [6223,] 15.6801544
#>  [6224,] 10.3753192
#>  [6225,] 12.4023719
#>  [6226,]  9.3171908
#>  [6227,] 17.4287014
#>  [6228,] 14.7229399
#>  [6229,] 15.8810980
#>  [6230,]  9.3611584
#>  [6231,] 13.8681146
#>  [6232,]  8.3422575
#>  [6233,]  8.8948044
#>  [6234,]  7.2626474
#>  [6235,]  6.5877535
#>  [6236,] 13.4582576
#>  [6237,]  3.5975574
#>  [6238,]  5.7100617
#>  [6239,]  4.5504884
#>  [6240,]  5.9912756
#>  [6241,]  7.5213412
#>  [6242,]  6.0069888
#>  [6243,]  4.2572557
#>  [6244,]  4.2705496
#>  [6245,]  9.3155443
#>  [6246,]  3.5807957
#>  [6247,]  6.3961487
#>  [6248,]  2.1609420
#>  [6249,]  3.6327883
#>  [6250,]  2.0805047
#>  [6251,]  1.5338350
#>  [6252,]  2.0781597
#>  [6253,]  1.7133593
#>  [6254,]  9.8822568
#>  [6255,]  7.4741227
#>  [6256,] 23.2128428
#>  [6257,] 23.1570288
#>  [6258,] 12.2084786
#>  [6259,] 22.4623803
#>  [6260,] 19.6072623
#>  [6261,] 17.8545182
#>  [6262,] 22.1820239
#>  [6263,] 14.8078080
#>  [6264,]  5.8891551
#>  [6265,] 16.5191937
#>  [6266,] 13.6289123
#>  [6267,] 18.3421519
#>  [6268,] 17.3974419
#>  [6269,] 12.0373894
#>  [6270,]  8.1113484
#>  [6271,]  7.9756855
#>  [6272,]  8.2919625
#>  [6273,]  5.5207406
#>  [6274,] 10.8473231
#>  [6275,]  7.4572200
#>  [6276,] 12.2552853
#>  [6277,]  8.6271627
#>  [6278,] 16.3992288
#>  [6279,]  6.7609675
#>  [6280,] 16.4338273
#>  [6281,]  8.0499642
#>  [6282,]  5.8503141
#>  [6283,]  7.2018753
#>  [6284,] 11.0242879
#>  [6285,]  9.7025831
#>  [6286,] 12.4354304
#>  [6287,] 10.3873442
#>  [6288,] 12.1644019
#>  [6289,] 14.1721288
#>  [6290,] 15.0182009
#>  [6291,] 17.1328192
#>  [6292,]  9.4319541
#>  [6293,]  7.6129392
#>  [6294,]  6.8541537
#>  [6295,] 14.4686144
#>  [6296,] 26.7177390
#>  [6297,] 26.7711063
#>  [6298,] 20.7698403
#>  [6299,] 27.4490509
#>  [6300,] 12.9347011
#>  [6301,] 16.6118729
#>  [6302,] 13.5168804
#>  [6303,] 13.2985550
#>  [6304,] 11.1447375
#>  [6305,] 18.9702403
#>  [6306,]  6.1371675
#>  [6307,]  8.2738948
#>  [6308,] 11.1795933
#>  [6309,]  8.9372040
#>  [6310,] 23.9277016
#>  [6311,] 16.6268406
#>  [6312,] 14.8742596
#>  [6313,]  9.2375953
#>  [6314,] 12.7809246
#>  [6315,]  7.2421290
#>  [6316,]  7.6128798
#>  [6317,]  6.3597449
#>  [6318,]  4.6955955
#>  [6319,]  7.8801365
#>  [6320,] 29.4075224
#>  [6321,] 28.5886619
#>  [6322,] 20.9170040
#>  [6323,]  7.1924839
#>  [6324,]  8.9946990
#>  [6325,] 11.1163742
#>  [6326,]  8.3596241
#>  [6327,] 12.8168426
#>  [6328,]  8.8999303
#>  [6329,]  8.8041579
#>  [6330,]  8.4438814
#>  [6331,]  9.4803477
#>  [6332,]  6.0502715
#>  [6333,]  7.0110987
#>  [6334,] 12.6440177
#>  [6335,] 12.3056846
#>  [6336,] 15.8091224
#>  [6337,]  5.6295769
#>  [6338,]  5.3719786
#>  [6339,]  7.2273972
#>  [6340,]  7.4086892
#>  [6341,]  3.4754055
#>  [6342,]  1.2217180
#>  [6343,]  0.6109906
#>  [6344,]  1.9511574
#>  [6345,]  1.9822257
#>  [6346,]  3.2291646
#>  [6347,]  4.5295734
#>  [6348,]  8.0223149
#>  [6349,]  1.9521343
#>  [6350,]  1.0437392
#>  [6351,]  1.2732920
#>  [6352,]  0.6353165
#>  [6353,]  0.9751672
#>  [6354,]  1.6930422
#>  [6355,]  2.8063589
#>  [6356,]  4.7832349
#>  [6357,]  2.4431807
#>  [6358,]  1.8522622
#>  [6359,]  1.3567474
#>  [6360,]  4.4965960
#>  [6361,]  6.2001546
#>  [6362,]  8.3173774
#>  [6363,]  5.2574264
#>  [6364,] 15.2162762
#>  [6365,] 10.1817207
#>  [6366,]  7.2528684
#>  [6367,]  4.1952396
#>  [6368,]  3.9754390
#>  [6369,]  3.2008117
#>  [6370,]  2.9886194
#>  [6371,]  5.3651980
#>  [6372,]  3.3528345
#>  [6373,]  4.9605405
#>  [6374,]  1.0346227
#>  [6375,]  0.4691916
#>  [6376,]  1.7649953
#>  [6377,]  1.6095090
#>  [6378,]  2.8302963
#>  [6379,]  3.2118974
#>  [6380,]  3.4914636
#>  [6381,]  2.2433329
#>  [6382,]  1.2833056
#>  [6383,]  3.5259439
#>  [6384,]  1.7104895
#>  [6385,]  2.1453563
#>  [6386,]  8.0668818
#>  [6387,]  6.8869984
#>  [6388,] 18.3984389
#>  [6389,] 29.5247788
#>  [6390,] 42.7053375
#>  [6391,] 21.3610814
#>  [6392,] 15.2675209
#>  [6393,] 19.0072561
#>  [6394,] 13.1747338
#>  [6395,] 16.6351198
#>  [6396,] 24.9772835
#>  [6397,] 21.5046230
#>  [6398,] 27.1600912
#>  [6399,] 15.1539873
#>  [6400,] 12.5040204
#>  [6401,] 11.2269978
#>  [6402,] 11.0045818
#>  [6403,]  5.5430831
#>  [6404,]  8.1739494
#>  [6405,]  9.0772096
#>  [6406,]  9.6687312
#>  [6407,] 13.6540516
#>  [6408,] 18.8110522
#>  [6409,] 16.1647895
#>  [6410,] 10.8966011
#>  [6411,]  9.0547328
#>  [6412,] 17.2528578
#>  [6413,] 18.4239681
#>  [6414,] 10.9332597
#>  [6415,]  8.9185748
#>  [6416,]  7.3572653
#>  [6417,]  2.0471912
#>  [6418,]  2.2839815
#>  [6419,]  0.9610832
#>  [6420,]  1.8132325
#>  [6421,]  0.6522389
#>  [6422,]  0.5457649
#>  [6423,]  6.2167814
#>  [6424,]  6.8105978
#>  [6425,]  5.2771246
#>  [6426,]  5.0662259
#>  [6427,]  5.8012076
#>  [6428,]  4.0194925
#>  [6429,]  6.8361643
#>  [6430,] 11.7118070
#>  [6431,]  2.6644666
#>  [6432,]  2.4553199
#>  [6433,]  5.3194519
#>  [6434,]  4.2094193
#>  [6435,]  2.8816111
#>  [6436,] 13.1949788
#>  [6437,] 13.5095392
#>  [6438,] 23.0779724
#>  [6439,] 12.6931540
#>  [6440,] 14.0826015
#>  [6441,] 27.8194920
#>  [6442,] 23.3470387
#>  [6443,] 11.3173086
#>  [6444,]  8.0863048
#>  [6445,] 18.2991752
#>  [6446,]  7.7180595
#>  [6447,]  4.1152291
#>  [6448,]  4.1349340
#>  [6449,]  8.7759411
#>  [6450,] 11.8493753
#>  [6451,] 11.2615062
#>  [6452,]  7.0634468
#>  [6453,]  9.3784453
#>  [6454,] 11.2992544
#>  [6455,] 16.1600482
#>  [6456,] 17.4885956
#>  [6457,] 13.9834625
#>  [6458,] 11.5908321
#>  [6459,]  7.5269009
#>  [6460,]  9.5889579
#>  [6461,]  4.5907157
#>  [6462,]  6.9228557
#>  [6463,]  4.8213059
#>  [6464,]  7.5388888
#>  [6465,] 15.9081053
#>  [6466,] 12.2743590
#>  [6467,] 12.3289250
#>  [6468,]  5.2411781
#>  [6469,] 14.5505515
#>  [6470,] 14.1164539
#>  [6471,]  6.9104085
#>  [6472,]  4.4771068
#>  [6473,]  2.1260241
#>  [6474,]  4.0200399
#>  [6475,]  2.3391885
#>  [6476,]  3.6516811
#>  [6477,]  3.1699280
#>  [6478,]  7.0591913
#>  [6479,]  7.8128886
#>  [6480,] 12.4838677
#>  [6481,] 20.6454657
#>  [6482,] 13.3398259
#>  [6483,]  8.6618680
#>  [6484,]  9.1185581
#>  [6485,] 15.6832027
#>  [6486,] 25.9249367
#>  [6487,] 29.4404840
#>  [6488,]  5.4832356
#>  [6489,]  8.5402464
#>  [6490,] 21.3737253
#>  [6491,]  6.1520020
#>  [6492,]  6.2881163
#>  [6493,]  5.9642622
#>  [6494,]  4.8905520
#>  [6495,]  3.1441181
#>  [6496,]  3.3609204
#>  [6497,]  3.6832389
#>  [6498,]  5.7255939
#>  [6499,]  5.9775619
#>  [6500,]  5.6296274
#>  [6501,]  6.3750752
#>  [6502,]  3.4503787
#>  [6503,]  4.7625770
#>  [6504,]  4.1611210
#>  [6505,]  3.7568305
#>  [6506,]  3.4291648
#>  [6507,]  4.1212981
#>  [6508,]  4.1233291
#>  [6509,]  3.9509976
#>  [6510,]  8.6327121
#>  [6511,]  9.4736898
#>  [6512,] 18.0841361
#>  [6513,]  7.3682381
#>  [6514,] 13.4456399
#>  [6515,] 10.1372975
#>  [6516,] 13.6277982
#>  [6517,] 13.1909688
#>  [6518,]  7.8775975
#>  [6519,]  6.0557914
#>  [6520,]  9.5739304
#>  [6521,] 10.1639801
#>  [6522,] 10.8544444
#>  [6523,] 13.4211809
#>  [6524,] 11.2901127
#>  [6525,] 10.9340626
#>  [6526,]  4.2393220
#>  [6527,]  6.8367713
#>  [6528,] 12.3638537
#>  [6529,]  8.1045960
#>  [6530,]  6.0849008
#>  [6531,]  7.2085884
#>  [6532,]  6.0681877
#>  [6533,]  6.8554409
#>  [6534,]  8.6928768
#>  [6535,] 14.1746923
#>  [6536,] 17.5201512
#>  [6537,] 17.0637469
#>  [6538,] 15.5941226
#>  [6539,]  7.6987429
#>  [6540,] 17.3370860
#>  [6541,]  6.3265205
#>  [6542,] 13.1980546
#>  [6543,] 10.0202091
#>  [6544,]  6.3760474
#>  [6545,]  7.4143413
#>  [6546,]  8.9295866
#>  [6547,]  8.3115077
#>  [6548,]  4.5748804
#>  [6549,]  6.1658293
#>  [6550,]  9.9461238
#>  [6551,]  4.5766418
#>  [6552,]  8.8403793
#>  [6553,]  6.1792306
#>  [6554,]  3.7692652
#>  [6555,]  4.2456342
#>  [6556,] 10.4686633
#>  [6557,] 11.0441736
#>  [6558,]  7.4529841
#>  [6559,] 15.8611266
#>  [6560,]  5.0161531
#>  [6561,] 17.7407186
#>  [6562,] 14.6907669
#>  [6563,] 22.4555853
#>  [6564,] 22.0035323
#>  [6565,] 20.0169893
#>  [6566,] 17.2177952
#>  [6567,] 23.5402768
#>  [6568,] 13.7315348
#>  [6569,] 14.0234672
#>  [6570,] 11.8866918
#>  [6571,] 29.0996163
#>  [6572,] 46.1280558
#>  [6573,] 11.2400422
#>  [6574,]  7.4464194
#>  [6575,]  7.0703485
#>  [6576,] 11.2905297
#>  [6577,] 14.4483488
#>  [6578,] 19.8856775
#>  [6579,] 12.8985036
#>  [6580,] 10.5898179
#>  [6581,] 12.6731582
#>  [6582,]  8.5610890
#>  [6583,]  7.0319327
#>  [6584,] 10.3120160
#>  [6585,] 14.0564647
#>  [6586,] 15.1973722
#>  [6587,] 16.9119385
#>  [6588,]  6.0393408
#>  [6589,]  3.2183610
#>  [6590,]  5.9590792
#>  [6591,]  4.9747457
#>  [6592,]  6.3630390
#>  [6593,]  9.1756549
#>  [6594,] 14.4902188
#>  [6595,]  7.1690660
#>  [6596,] 16.6616027
#>  [6597,] 10.7583369
#>  [6598,] 11.1334527
#>  [6599,]  9.0531974
#>  [6600,] 21.9052234
#>  [6601,] 28.0026127
#>  [6602,] 21.9368845
#>  [6603,] 29.2384172
#>  [6604,] 10.1704834
#>  [6605,] 17.7105517
#>  [6606,] 11.3528355
#>  [6607,]  7.7293524
#>  [6608,]  9.0457257
#>  [6609,]  5.1714630
#>  [6610,]  8.0667176
#>  [6611,]  6.2650955
#>  [6612,]  5.2451791
#>  [6613,]  4.3309714
#>  [6614,]  7.8395405
#>  [6615,] 13.7741043
#>  [6616,] 16.2731403
#>  [6617,] 10.9164557
#>  [6618,] 13.8260463
#>  [6619,]  6.3676335
#>  [6620,]  4.7923733
#>  [6621,]  2.4649596
#>  [6622,]  2.1566175
#>  [6623,]  3.4886012
#>  [6624,]  7.3942467
#>  [6625,] 11.8200225
#>  [6626,] 11.5293945
#>  [6627,] 14.0212513
#>  [6628,]  7.8557545
#>  [6629,]  9.3129184
#>  [6630,]  4.1269625
#>  [6631,]  4.4365588
#>  [6632,]  2.5134991
#>  [6633,]  0.5365987
#>  [6634,]  1.3899308
#>  [6635,]  3.8273121
#>  [6636,]  4.0274968
#>  [6637,] 11.1178068
#>  [6638,]  5.0149693
#>  [6639,] 13.2550018
#>  [6640,] 14.8229129
#>  [6641,] 16.8499317
#>  [6642,]  8.5166668
#>  [6643,] 20.6692347
#>  [6644,] 29.6195587
#>  [6645,] 16.2236239
#>  [6646,]  5.1041772
#>  [6647,]  9.9242519
#>  [6648,]  9.5086380
#>  [6649,]  5.3664964
#>  [6650,]  3.9348750
#>  [6651,]  5.1012884
#>  [6652,]  3.5284762
#>  [6653,]  3.8509442
#>  [6654,]  5.2146269
#>  [6655,]  4.7584744
#>  [6656,]  5.6479481
#>  [6657,]  3.5518847
#>  [6658,]  3.4117604
#>  [6659,]  9.4194076
#>  [6660,] 12.9850109
#>  [6661,] 10.3703424
#>  [6662,] 18.2272890
#>  [6663,]  8.7622239
#>  [6664,] 15.3115798
#>  [6665,] 12.4170903
#>  [6666,] 13.4422587
#>  [6667,] 17.0950498
#>  [6668,] 17.3471683
#>  [6669,]  8.7062859
#>  [6670,] 18.6459491
#>  [6671,] 14.8691603
#>  [6672,]  9.8608616
#>  [6673,]  6.9728182
#>  [6674,]  4.1721304
#>  [6675,]  5.1837626
#>  [6676,]  1.3212187
#>  [6677,]  7.2037782
#>  [6678,]  7.7556894
#>  [6679,] 10.1649976
#>  [6680,]  7.8936439
#>  [6681,] 11.6726347
#>  [6682,] 13.7736320
#>  [6683,]  8.8204672
#>  [6684,] 22.5729306
#>  [6685,] 21.1986287
#>  [6686,] 21.1256889
#>  [6687,] 12.5692169
#>  [6688,]  8.3564282
#>  [6689,]  9.7880403
#>  [6690,]  8.3753096
#>  [6691,]  3.2936469
#>  [6692,]  6.2498705
#>  [6693,]  6.7214994
#>  [6694,]  7.2809302
#>  [6695,] 11.2122692
#>  [6696,] 12.4742501
#>  [6697,] 12.1895805
#>  [6698,]  7.4885477
#>  [6699,]  3.7503584
#>  [6700,]  3.5159156
#>  [6701,]  7.6905213
#>  [6702,]  5.0712776
#>  [6703,]  4.7671779
#>  [6704,] 10.3236834
#>  [6705,] 12.0729420
#>  [6706,]  3.8233561
#>  [6707,]  3.5837468
#>  [6708,]  3.7475993
#>  [6709,]  1.2686378
#>  [6710,]  2.2163655
#>  [6711,]  1.7988207
#>  [6712,]  4.6856039
#>  [6713,]  7.4218038
#>  [6714,]  7.3376388
#>  [6715,]  5.6424203
#>  [6716,]  5.6613958
#>  [6717,]  8.7297228
#>  [6718,]  9.2066028
#>  [6719,] 17.1274056
#>  [6720,] 12.3946234
#>  [6721,]  6.0538185
#>  [6722,]  4.5863578
#>  [6723,]  3.5858667
#>  [6724,]  5.7113613
#>  [6725,]  9.4774424
#>  [6726,]  7.3574222
#>  [6727,]  5.6793077
#>  [6728,]  7.9224400
#>  [6729,]  7.2044073
#>  [6730,]  9.3513824
#>  [6731,] 10.3519645
#>  [6732,] 12.9478436
#>  [6733,] 11.1316298
#>  [6734,]  3.8969050
#>  [6735,]  2.2478477
#>  [6736,]  2.3754310
#>  [6737,]  8.9828929
#>  [6738,]  7.5108476
#>  [6739,]  7.5986613
#>  [6740,]  4.9300009
#>  [6741,] 12.3788220
#>  [6742,] 16.7567397
#>  [6743,]  9.1401321
#>  [6744,]  6.7347102
#>  [6745,] 14.6469855
#>  [6746,] 12.0270378
#>  [6747,]  8.9562056
#>  [6748,]  5.4975358
#>  [6749,]  4.9324438
#>  [6750,] 10.3239430
#>  [6751,]  5.5743664
#>  [6752,]  1.3391975
#>  [6753,]  1.2958015
#>  [6754,]  5.3091136
#>  [6755,]  7.3882827
#>  [6756,] 21.8615048
#>  [6757,]  9.1325665
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#>  [6760,]  3.6817806
#>  [6761,]  5.2922639
#>  [6762,]  7.7325610
#>  [6763,]  8.8769439
#>  [6764,] 14.7895810
#>  [6765,] 16.4105242
#>  [6766,] 22.5248503
#>  [6767,] 14.2445061
#>  [6768,] 13.0398296
#>  [6769,] 17.2555092
#>  [6770,]  9.2354576
#>  [6771,] 12.3683584
#>  [6772,]  7.3049253
#>  [6773,] 10.4916563
#>  [6774,]  6.1692748
#>  [6775,]  4.2855470
#>  [6776,]  4.3021162
#>  [6777,]  4.4898031
#>  [6778,]  2.5426397
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#>  [6780,]  7.6370143
#>  [6781,]  3.7717042
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#>  [6783,]  6.3520638
#>  [6784,]  6.6214220
#>  [6785,] 11.8729089
#>  [6786,]  4.3622198
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#>  [6789,]  1.1864142
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#>  [6809,]  3.4892496
#>  [6810,]  9.9158716
#>  [6811,] 16.4283193
#>  [6812,] 28.7760005
#>  [6813,] 30.7480584
#>  [6814,] 11.0283492
#>  [6815,] 21.1081669
#>  [6816,] 31.7516599
#>  [6817,] 10.3366812
#>  [6818,] 11.5996946
#>  [6819,]  7.1839367
#>  [6820,]  7.3433821
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#>  [6822,]  6.8908457
#>  [6823,]  6.3347875
#>  [6824,]  4.4687358
#>  [6825,]  2.4022086
#>  [6826,]  4.0424649
#>  [6827,]  2.8461172
#>  [6828,]  5.6842456
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#>  [6830,] 12.5725301
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#>  [6832,]  7.6923847
#>  [6833,]  3.8647646
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#>  [6835,]  9.4828685
#>  [6836,] 16.4910294
#>  [6837,] 27.8059906
#>  [6838,] 36.5840206
#>  [6839,] 43.9285874
#>  [6840,] 24.2325058
#>  [6841,] 39.4215308
#>  [6842,] 22.2450787
#>  [6843,] 35.5000716
#>  [6844,] 18.0268578
#>  [6845,] 22.3608433
#>  [6846,] 20.4010493
#>  [6847,] 25.6572733
#>  [6848,] 16.9009351
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#>  [6850,]  9.7336455
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#>  [6852,]  9.8689065
#>  [6853,] 16.2745566
#>  [6854,] 16.5488678
#>  [6855,]  5.9374969
#>  [6856,]  5.7025616
#>  [6857,]  7.2644040
#>  [6858,] 10.4221792
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#>  [6860,]  2.1137460
#>  [6861,]  3.6172687
#>  [6862,]  4.5090422
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#>  [6882,]  8.6901094
#>  [6883,]  8.6113705
#>  [6884,] 13.3428258
#>  [6885,] 15.5612741
#>  [6886,] 13.2933803
#>  [6887,] 13.3760230
#>  [6888,] 12.9204107
#>  [6889,] 18.4286215
#>  [6890,]  2.3799480
#>  [6891,]  1.7168048
#>  [6892,]  4.9635098
#>  [6893,]  5.8365208
#>  [6894,]  6.9636618
#>  [6895,]  6.7966798
#>  [6896,]  9.0259811
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#>  [6898,]  1.7188740
#>  [6899,]  3.6466479
#>  [6900,]  4.9566320
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#>  [6902,]  5.7089918
#>  [6903,]  7.0012262
#>  [6904,] 14.2619982
#>  [6905,] 12.5543059
#>  [6906,]  7.2408115
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#>  [6908,]  3.8463358
#>  [6909,]  3.3430315
#>  [6910,]  4.6966533
#>  [6911,]  5.9820341
#>  [6912,] 11.5296788
#>  [6913,]  5.7846412
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#>  [6915,]  4.6830117
#>  [6916,]  2.9244212
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#>  [6918,]  4.7387060
#>  [6919,]  1.0306621
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#>  [6921,]  1.2704077
#>  [6922,]  0.7082136
#>  [6923,]  1.4534992
#>  [6924,]  1.2580398
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#>  [6926,]  4.6707543
#>  [6927,]  3.2928958
#>  [6928,]  0.6311956
#>  [6929,]  1.6942817
#>  [6930,]  0.9983790
#>  [6931,]  2.9179634
#>  [6932,]  2.2577567
#>  [6933,]  2.8801877
#>  [6934,]  5.1356712
#>  [6935,] 11.2060101
#>  [6936,] 17.8361422
#>  [6937,]  8.7528937
#>  [6938,]  3.5566084
#>  [6939,]  6.7416475
#>  [6940,]  3.0241911
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#>  [6942,]  3.6320299
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#>  [6944,]  4.9110172
#>  [6945,]  7.5645178
#>  [6946,] 13.2066403
#>  [6947,] 13.5221943
#>  [6948,] 19.4205144
#>  [6949,] 14.3617877
#>  [6950,] 15.0236074
#>  [6951,] 10.3159838
#>  [6952,]  4.0554571
#>  [6953,]  5.9102730
#>  [6954,]  4.2957725
#>  [6955,]  4.4923385
#>  [6956,]  6.2180072
#>  [6957,]  2.4012305
#>  [6958,]  5.1029366
#>  [6959,]  4.4186002
#>  [6960,]  6.7075168
#>  [6961,]  6.8983475
#>  [6962,] 15.1141477
#>  [6963,] 14.8238778
#>  [6964,] 16.7858173
#>  [6965,] 17.8680800
#>  [6966,] 11.6170725
#>  [6967,]  9.8378979
#>  [6968,] 14.8376492
#>  [6969,] 13.2235544
#>  [6970,] 11.7991381
#>  [6971,] 13.4735675
#>  [6972,] 10.4347527
#>  [6973,] 17.1983938
#>  [6974,]  4.0209867
#>  [6975,]  6.8212797
#>  [6976,]  7.8453651
#>  [6977,] 21.7890647
#>  [6978,] 28.3618385
#>  [6979,] 36.7721277
#>  [6980,] 33.2441075
#>  [6981,] 19.7879684
#>  [6982,] 12.7287752
#>  [6983,] 11.7804711
#>  [6984,]  8.9541179
#>  [6985,] 31.6983019
#>  [6986,] 19.7381811
#>  [6987,] 27.4359353
#>  [6988,] 19.2940233
#>  [6989,] 22.9232613
#>  [6990,] 23.9908022
#>  [6991,]  9.0179174
#>  [6992,] 12.3440864
#>  [6993,]  8.9886402
#>  [6994,]  6.3854684
#>  [6995,]  3.3124335
#>  [6996,]  5.2651212
#>  [6997,]  6.3338625
#>  [6998,]  9.0829069
#>  [6999,]  9.0274623
#>  [7000,]  9.6532082
#>  [7001,]  6.2555471
#>  [7002,]  8.8105354
#>  [7003,]  4.1746729
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#>  [7006,]  1.9677284
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#>  [7008,]  1.3255186
#>  [7009,]  2.9810014
#>  [7010,]  9.6521423
#>  [7011,] 12.8694562
#>  [7012,] 10.8242693
#>  [7013,]  6.8950887
#>  [7014,]  4.9217384
#>  [7015,]  6.2990967
#>  [7016,]  2.0523994
#>  [7017,]  2.6857930
#>  [7018,]  9.1380842
#>  [7019,] 13.3321332
#>  [7020,]  9.2216094
#>  [7021,]  3.5232008
#>  [7022,]  5.9891835
#>  [7023,]  4.3590445
#>  [7024,]  4.2871443
#>  [7025,]  6.1588159
#>  [7026,]  7.9634376
#>  [7027,]  7.1499440
#>  [7028,]  6.3493939
#>  [7029,]  8.8323015
#>  [7030,]  9.1199055
#>  [7031,]  5.2494875
#>  [7032,]  7.1896554
#>  [7033,]  6.4496404
#>  [7034,]  2.3059966
#>  [7035,]  6.7282205
#>  [7036,]  3.7525197
#>  [7037,]  2.4348842
#>  [7038,]  0.9339524
#>  [7039,]  1.3443253
#>  [7040,]  6.4696351
#>  [7041,]  4.7902009
#>  [7042,]  4.0813337
#>  [7043,]  7.1270394
#>  [7044,]  7.1080419
#>  [7045,]  8.0971357
#>  [7046,] 14.1656633
#>  [7047,] 19.0783117
#>  [7048,] 17.2133445
#>  [7049,] 22.1299841
#>  [7050,] 22.9976324
#>  [7051,] 19.4545198
#>  [7052,]  8.1371702
#>  [7053,]  7.6097909
#>  [7054,]  9.0926573
#>  [7055,] 12.1270897
#>  [7056,] 21.2084430
#>  [7057,] 13.7384641
#>  [7058,] 13.7355774
#>  [7059,] 22.0243460
#>  [7060,] 22.6270210
#>  [7061,] 27.4392808
#>  [7062,] 10.6162196
#>  [7063,]  9.0615392
#>  [7064,] 11.8311757
#>  [7065,] 16.1832264
#>  [7066,] 10.0962011
#>  [7067,] 11.6980793
#>  [7068,] 13.6287210
#>  [7069,] 12.7599342
#>  [7070,] 11.7733535
#>  [7071,]  8.7754352
#>  [7072,]  5.4923785
#>  [7073,]  3.3074829
#>  [7074,]  1.9704918
#>  [7075,]  3.4902924
#>  [7076,]  5.2156266
#>  [7077,]  5.1572186
#>  [7078,]  4.7889751
#>  [7079,] 12.8760855
#>  [7080,] 17.1649246
#>  [7081,] 11.3509356
#>  [7082,]  6.2816194
#>  [7083,]  8.1664058
#>  [7084,] 10.2026219
#>  [7085,] 11.8290759
#>  [7086,] 23.7495079
#>  [7087,] 13.6256997
#>  [7088,] 10.3925004
#>  [7089,]  7.2100907
#>  [7090,]  2.7087680
#>  [7091,]  4.1107533
#>  [7092,]  1.7733112
#>  [7093,]  1.6319259
#>  [7094,]  2.3468029
#>  [7095,]  1.6168794
#>  [7096,]  1.4286962
#>  [7097,]  1.5433493
#>  [7098,]  2.0743965
#>  [7099,]  2.9075734
#>  [7100,]  7.1847703
#>  [7101,] 15.5204989
#>  [7102,] 10.7616917
#>  [7103,]  5.4558095
#>  [7104,] 14.8487061
#>  [7105,] 23.5906800
#>  [7106,]  9.9451752
#>  [7107,] 11.1656883
#>  [7108,]  2.9036934
#>  [7109,]  4.5534888
#>  [7110,]  9.7742618
#>  [7111,]  7.6584568
#>  [7112,] 10.1369070
#>  [7113,]  4.2993411
#>  [7114,]  7.1451053
#>  [7115,]  9.6270641
#>  [7116,] 11.4242021
#>  [7117,] 24.7341085
#>  [7118,] 28.2193206
#>  [7119,]  9.0331849
#>  [7120,]  6.3526319
#>  [7121,] 10.2739671
#>  [7122,] 11.4374541
#>  [7123,]  9.4458693
#>  [7124,] 21.6328674
#>  [7125,] 12.9785776
#>  [7126,] 10.0978253
#>  [7127,] 12.0365242
#>  [7128,]  8.7801328
#>  [7129,] 10.9121552
#>  [7130,] 17.5932992
#>  [7131,] 13.4338504
#>  [7132,] 17.4230598
#>  [7133,] 12.8852566
#>  [7134,] 13.0951052
#>  [7135,] 13.0754430
#>  [7136,] 16.7648579
#>  [7137,] 10.4622710
#>  [7138,]  4.0639639
#>  [7139,]  6.0208684
#>  [7140,]  3.9334316
#>  [7141,] 13.5631453
#>  [7142,] 10.1616787
#>  [7143,]  6.7614253
#>  [7144,]  6.7895777
#>  [7145,]  6.4440718
#>  [7146,]  7.6678498
#>  [7147,]  7.8704741
#>  [7148,]  5.6115919
#>  [7149,] 13.9393535
#>  [7150,]  8.9686648
#>  [7151,]  6.0659117
#>  [7152,]  2.8060026
#>  [7153,]  2.9298605
#>  [7154,]  2.0272565
#>  [7155,]  3.5324021
#>  [7156,]  3.5274629
#>  [7157,]  2.8332889
#>  [7158,]  4.2381806
#>  [7159,]  3.1181072
#>  [7160,]  2.6176349
#>  [7161,]  2.9330154
#>  [7162,]  4.8449727
#>  [7163,]  1.3185918
#>  [7164,]  3.8628171
#>  [7165,]  3.0890921
#>  [7166,]  3.8443349
#>  [7167,]  1.3848145
#>  [7168,]  1.0854353
#>  [7169,]  1.0277280
#>  [7170,]  3.0313765
#>  [7171,]  5.5171051
#>  [7172,]  1.8564988
#>  [7173,]  1.0908463
#>  [7174,]  0.8888471
#>  [7175,]  0.6565920
#>  [7176,]  1.0519044
#>  [7177,]  2.1709601
#>  [7178,]  3.9570684
#>  [7179,]  3.8881129
#>  [7180,]  3.4253260
#>  [7181,]  1.9820898
#>  [7182,]  0.4197576
#>  [7183,]  0.8271956
#>  [7184,]  0.6508761
#>  [7185,]  0.9561012
#>  [7186,]  0.5104373
#>  [7187,]  1.8336051
#>  [7188,]  7.9039188
#>  [7189,]  7.3333898
#>  [7190,]  2.8595985
#>  [7191,]  7.2075094
#>  [7192,]  1.2665958
#>  [7193,]  2.2697919
#>  [7194,]  1.7492679
#>  [7195,]  0.6963023
#>  [7196,]  0.7073015
#>  [7197,]  0.7471254
#>  [7198,]  2.6333110
#>  [7199,]  6.4885137
#>  [7200,]  6.6387079
#>  [7201,]  2.6593130
#>  [7202,]  2.7963974
#>  [7203,]  1.9424575
#>  [7204,]  1.8790604
#>  [7205,]  2.7502374
#>  [7206,]  2.6519259
#>  [7207,]  1.8889463
#>  [7208,]  3.0119631
#>  [7209,]  5.4736322
#>  [7210,]  7.8784741
#>  [7211,] 14.3063866
#>  [7212,] 19.4798897
#>  [7213,] 25.0875443
#>  [7214,] 17.2382413
#>  [7215,] 34.6341375
#>  [7216,] 23.6206490
#>  [7217,] 13.8147314
#>  [7218,] 26.4145903
#>  [7219,] 13.1961007
#>  [7220,] 10.6793896
#>  [7221,]  9.1304611
#>  [7222,]  8.9522979
#>  [7223,] 12.9453025
#>  [7224,]  6.6734152
#>  [7225,]  5.7518697
#>  [7226,]  3.7548087
#>  [7227,]  4.6979349
#>  [7228,]  2.6071425
#>  [7229,]  1.4062880
#>  [7230,]  2.5897701
#>  [7231,]  3.1380871
#>  [7232,]  1.0440133
#>  [7233,]  1.3763900
#>  [7234,]  0.5916018
#>  [7235,]  0.8015025
#>  [7236,]  3.6763444
#>  [7237,]  1.1266978
#>  [7238,]  3.9864548
#>  [7239,]  7.2685833
#>  [7240,] 12.6314179
#>  [7241,] 10.1958591
#>  [7242,]  7.8136870
#>  [7243,]  4.9110768
#>  [7244,]  4.7464134
#>  [7245,]  3.0605948
#>  [7246,] 10.5031185
#>  [7247,]  8.7606861
#>  [7248,]  8.3073927
#>  [7249,]  7.3020442
#>  [7250,]  2.5125394
#>  [7251,]  1.2478779
#>  [7252,]  2.4537440
#>  [7253,]  5.1050258
#>  [7254,]  5.3027457
#>  [7255,]  4.0924293
#>  [7256,]  9.0876267
#>  [7257,] 13.6808910
#>  [7258,] 29.0822864
#>  [7259,] 12.9785116
#>  [7260,]  9.5821621
#>  [7261,]  8.2187173
#>  [7262,] 13.4379784
#>  [7263,]  9.7073302
#>  [7264,]  8.3317860
#>  [7265,]  6.6461955
#>  [7266,]  4.6968076
#>  [7267,]  4.0031869
#>  [7268,] 12.2038021
#>  [7269,] 17.4496497
#>  [7270,] 16.9557013
#>  [7271,] 12.9611470
#>  [7272,]  4.9202364
#>  [7273,]  3.6800389
#>  [7274,]  3.4335682
#>  [7275,]  7.6816772
#>  [7276,]  4.2212374
#>  [7277,]  5.0736104
#>  [7278,]  5.0363918
#>  [7279,]  5.6855858
#>  [7280,]  7.5860717
#>  [7281,] 12.6532372
#>  [7282,] 10.5384532
#>  [7283,]  4.0860074
#>  [7284,]  8.8741590
#>  [7285,] 11.6571084
#>  [7286,] 11.7272044
#>  [7287,]  8.9231360
#>  [7288,]  8.8992713
#>  [7289,] 12.9719032
#>  [7290,] 22.6469603
#>  [7291,] 24.6384301
#>  [7292,] 25.8891324
#>  [7293,]  9.0173550
#>  [7294,]  5.5490101
#>  [7295,] 11.8388852
#>  [7296,] 32.1185221
#>  [7297,] 16.6859880
#>  [7298,] 14.2570629
#>  [7299,] 12.0431897
#>  [7300,] 16.5747896
#>  [7301,]  8.2486294
#>  [7302,] 13.3533703
#>  [7303,] 15.4000572
#>  [7304,] 14.7346511
#>  [7305,] 11.2552385
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#>  [7307,]  5.5947848
#>  [7308,]  3.8301822
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#>  [7310,]  0.1655370
#>  [7311,]  0.2380264
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#>  [7313,]  7.1449940
#>  [7314,]  6.2367099
#>  [7315,]  6.2874180
#>  [7316,] 15.7146902
#>  [7317,] 30.4999316
#>  [7318,] 13.4709223
#>  [7319,] 18.6315319
#>  [7320,]  8.7289648
#>  [7321,]  8.0921834
#>  [7322,]  5.3116492
#>  [7323,]  9.6626644
#>  [7324,] 16.4267263
#>  [7325,] 11.7186455
#>  [7326,] 18.2347038
#>  [7327,] 18.3270164
#>  [7328,]  8.0156798
#>  [7329,]  6.2991894
#>  [7330,]  2.1306999
#>  [7331,]  1.3631335
#>  [7332,]  1.5647804
#>  [7333,]  4.1218255
#>  [7334,]  8.8667937
#>  [7335,] 11.7141659
#>  [7336,] 35.4581848
#>  [7337,] 26.0247900
#>  [7338,] 24.0998801
#>  [7339,] 10.9681687
#>  [7340,]  4.6565823
#>  [7341,]  3.2721955
#>  [7342,]  3.4409545
#>  [7343,]  0.9038948
#>  [7344,]  1.2036685
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#>  [7347,]  8.1872145
#>  [7348,]  6.2827540
#>  [7349,]  6.9571263
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#>  [7353,] 13.2310837
#>  [7354,] 10.7438773
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#>  [7356,]  5.8549593
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#>  [7358,]  4.0260594
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#>  [7360,]  6.0156625
#>  [7361,]  2.1777802
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#>  [7364,]  8.7535850
#>  [7365,]  3.0682277
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#>  [7367,]  3.4262657
#>  [7368,]  2.6305346
#>  [7369,] 11.5981027
#>  [7370,] 15.8066395
#>  [7371,] 15.3180482
#>  [7372,]  8.0938614
#>  [7373,]  2.1009758
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#>  [7375,]  1.9664926
#>  [7376,]  2.4683875
#>  [7377,]  2.9014731
#>  [7378,]  3.1539531
#>  [7379,]  9.0937237
#>  [7380,] 18.2144305
#>  [7381,] 17.2912414
#>  [7382,] 24.7207969
#>  [7383,] 26.3772563
#>  [7384,] 27.6106011
#>  [7385,] 14.1086563
#>  [7386,] 27.0192711
#>  [7387,] 32.2554013
#>  [7388,] 25.8803284
#>  [7389,] 31.0389015
#>  [7390,] 28.0831595
#>  [7391,] 12.4702487
#>  [7392,] 10.6322251
#>  [7393,]  6.1747259
#>  [7394,] 12.7267686
#>  [7395,] 12.1390800
#>  [7396,] 10.6056337
#>  [7397,] 11.3399971
#>  [7398,] 11.9537792
#>  [7399,] 15.0694557
#>  [7400,] 13.3593185
#>  [7401,] 15.2643092
#>  [7402,] 12.9084347
#>  [7403,] 14.1491712
#>  [7404,] 19.2674555
#>  [7405,] 16.9848237
#>  [7406,] 15.2447482
#>  [7407,] 11.8429331
#>  [7408,] 13.0802200
#>  [7409,] 18.7397223
#>  [7410,] 26.1684390
#>  [7411,] 26.4536622
#>  [7412,] 24.3765864
#>  [7413,] 22.3421435
#>  [7414,] 18.3936394
#>  [7415,] 21.6549960
#>  [7416,] 16.6101724
#>  [7417,] 20.2657366
#>  [7418,] 22.8703038
#>  [7419,] 34.9875809
#>  [7420,] 20.4405248
#>  [7421,] 12.1295514
#>  [7422,]  7.2955306
#>  [7423,]  7.3387147
#>  [7424,]  9.0970199
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#>  [7426,] 11.9127561
#>  [7427,] 11.5015401
#>  [7428,]  4.1648222
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#>  [7430,] 12.4495510
#>  [7431,]  9.7983497
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#>  [7460,]  3.7964456
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#>  [7462,]  8.1186424
#>  [7463,]  8.1690829
#>  [7464,] 21.3583724
#>  [7465,] 35.0701456
#>  [7466,] 27.4793519
#>  [7467,] 11.8613560
#>  [7468,] 10.7054935
#>  [7469,] 12.1257719
#>  [7470,] 13.4446677
#>  [7471,]  4.9035748
#>  [7472,]  2.5563972
#>  [7473,]  1.3878320
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#>  [7476,]  2.0002086
#>  [7477,]  2.5795883
#>  [7478,]  5.8039806
#>  [7479,]  5.8709651
#>  [7480,]  9.6126018
#>  [7481,] 14.4652983
#>  [7482,] 17.8593954
#>  [7483,] 20.7842460
#>  [7484,] 17.5221347
#>  [7485,] 11.1548119
#>  [7486,] 11.0013792
#>  [7487,] 10.3556794
#>  [7488,]  7.7063053
#>  [7489,]  7.7789696
#>  [7490,] 10.4127761
#>  [7491,]  4.4934353
#>  [7492,]  1.5423433
#>  [7493,]  4.9536056
#>  [7494,]  6.9534927
#>  [7495,]  1.8867420
#>  [7496,]  1.3898314
#>  [7497,]  2.4203250
#>  [7498,]  2.1640837
#>  [7499,]  9.2773591
#>  [7500,]  6.9890916
#>  [7501,]  6.8047811
#>  [7502,]  4.9298233
#>  [7503,]  5.2806900
#>  [7504,]  3.3632439
#>  [7505,]  4.1960417
#>  [7506,]  1.2623935
#>  [7507,]  0.5830637
#>  [7508,]  0.9356357
#>  [7509,]  3.3489588
#>  [7510,]  1.5355066
#>  [7511,]  0.3705686
#>  [7512,]  3.2420776
#>  [7513,]  4.5848403
#>  [7514,]  3.3506597
#>  [7515,]  1.1551270
#>  [7516,]  1.4295742
#>  [7517,]  0.8226691
#>  [7518,]  1.8513751
#>  [7519,]  1.1647447
#>  [7520,]  2.6803779
#>  [7521,]  1.7319857
#>  [7522,]  1.5974259
#>  [7523,]  2.7058479
#>  [7524,]  0.7577789
#>  [7525,]  1.9308163
#>  [7526,]  3.7598061
#>  [7527,] 10.9731472
#>  [7528,] 13.2171298
#>  [7529,] 11.0415927
#>  [7530,]  9.5073891
#>  [7531,] 11.1626535
#>  [7532,]  8.8140369
#>  [7533,]  2.9952523
#>  [7534,]  1.9641845
#>  [7535,]  2.2015662
#>  [7536,]  4.7410584
#>  [7537,]  3.8956561
#>  [7538,]  4.0424155
#>  [7539,]  3.7182058
#>  [7540,]  4.6953608
#>  [7541,]  4.8276661
#>  [7542,]  4.4574597
#>  [7543,] 10.0773989
#>  [7544,]  4.1510512
#>  [7545,]  1.5429486
#>  [7546,]  4.5197400
#>  [7547,]  2.7398889
#>  [7548,]  3.9823549
#>  [7549,]  7.7577517
#>  [7550,] 21.3386712
#>  [7551,] 13.1307939
#>  [7552,]  6.3429986
#>  [7553,]  4.0122485
#>  [7554,]  6.4181701
#>  [7555,]  7.0896006
#>  [7556,]  5.5310610
#>  [7557,]  5.6344356
#>  [7558,]  4.8129375
#>  [7559,]  3.1208773
#>  [7560,]  2.4621600
#>  [7561,]  1.6540262
#>  [7562,]  4.2091443
#>  [7563,]  5.4639497
#>  [7564,]  2.4959294
#>  [7565,]  3.7587807
#>  [7566,]  1.1273031
#>  [7567,]  1.0964201
#>  [7568,]  3.4695712
#>  [7569,]  1.6429812
#>  [7570,]  1.1662604
#>  [7571,]  4.6943804
#>  [7572,]  5.7723337
#>  [7573,]  3.7927635
#>  [7574,]  4.9101975
#>  [7575,]  4.8492827
#>  [7576,]  2.1886130
#>  [7577,]  5.4984963
#>  [7578,]  7.1302060
#>  [7579,] 13.7619259
#>  [7580,] 11.8104535
#>  [7581,] 15.9327081
#>  [7582,] 10.2874205
#>  [7583,] 10.8065891
#>  [7584,]  7.3810919
#>  [7585,]  2.9241094
#>  [7586,]  2.5247147
#>  [7587,]  2.1096414
#>  [7588,]  4.8043377
#>  [7589,]  2.2242177
#>  [7590,]  2.7525711
#>  [7591,]  3.7676217
#>  [7592,]  7.6587998
#>  [7593,]  6.5015063
#>  [7594,]  4.1605847
#>  [7595,]  0.5624016
#>  [7596,]  1.9567204
#>  [7597,]  1.6634718
#>  [7598,]  6.1114111
#>  [7599,] 10.1126589
#>  [7600,] 12.0828009
#>  [7601,] 18.4704887
#>  [7602,]  6.4795045
#>  [7603,]  3.2296864
#>  [7604,]  2.0331997
#>  [7605,]  0.6477260
#>  [7606,]  1.0778709
#>  [7607,]  2.8262752
#>  [7608,]  1.6530374
#>  [7609,]  2.3281062
#>  [7610,]  4.9929740
#>  [7611,]  3.5433139
#>  [7612,]  1.9356710
#>  [7613,]  8.4799325
#>  [7614,] 12.0545323
#>  [7615,] 12.1587488
#>  [7616,] 18.3936852
#>  [7617,] 13.4657821
#>  [7618,]  3.1097543
#>  [7619,]  6.4793474
#>  [7620,]  7.7054025
#>  [7621,]  5.4049002
#>  [7622,]  2.1606199
#>  [7623,]  3.5342636
#>  [7624,]  0.9849573
#>  [7625,]  1.7541544
#>  [7626,]  2.3067058
#>  [7627,]  3.3010459
#>  [7628,]  2.2322854
#>  [7629,]  6.4712919
#>  [7630,]  2.5530266
#>  [7631,]  5.4274783
#>  [7632,]  9.9851990
#>  [7633,]  6.3216867
#>  [7634,]  4.3022204
#>  [7635,]  2.4976527
#>  [7636,]  2.0056679
#>  [7637,]  3.7662175
#>  [7638,]  5.4910177
#>  [7639,]  2.2793615
#>  [7640,]  2.3244974
#>  [7641,]  1.9642384
#>  [7642,]  5.4434597
#>  [7643,]  4.9720662
#>  [7644,] 10.2854954
#>  [7645,] 13.7543583
#>  [7646,] 31.2107598
#>  [7647,] 15.7516376
#>  [7648,] 18.4972450
#>  [7649,] 13.0234690
#>  [7650,] 15.1096658
#>  [7651,]  6.5540163
#>  [7652,]  9.2145601
#>  [7653,] 18.3999506
#>  [7654,] 15.9512962
#>  [7655,] 18.6861443
#>  [7656,] 11.0485578
#>  [7657,] 14.1703886
#>  [7658,] 11.7997470
#>  [7659,] 12.7608001
#>  [7660,] 12.2297959
#>  [7661,]  8.0299073
#>  [7662,]  5.4996217
#>  [7663,]  4.1921665
#>  [7664,]  2.8051854
#>  [7665,]  2.0778511
#>  [7666,]  1.4033101
#>  [7667,]  1.5533584
#>  [7668,]  1.2134690
#>  [7669,]  1.6515095
#>  [7670,]  1.3525682
#>  [7671,]  2.3122498
#>  [7672,]  1.3964463
#>  [7673,]  1.7059009
#>  [7674,]  2.8678145
#>  [7675,]  3.7259284
#>  [7676,]  7.4583956
#>  [7677,]  7.1390481
#>  [7678,]  7.2019540
#>  [7679,] 16.9211666
#>  [7680,] 11.5693843
#>  [7681,]  5.4055231
#>  [7682,]  5.8443056
#>  [7683,]  8.9279785
#>  [7684,] 23.1854374
#>  [7685,] 15.8556172
#>  [7686,] 12.4706153
#>  [7687,]  4.3710331
#>  [7688,]  3.1261522
#>  [7689,]  6.5112334
#>  [7690,]  6.3102193
#>  [7691,]  7.9477549
#>  [7692,]  5.8601407
#>  [7693,] 15.8038138
#>  [7694,]  7.3881473
#>  [7695,]  5.6778173
#>  [7696,]  9.1202956
#>  [7697,]  7.2868375
#>  [7698,] 18.5506071
#>  [7699,] 18.8062133
#>  [7700,] 10.9250521
#>  [7701,] 11.2878978
#>  [7702,] 19.7989895
#>  [7703,] 18.3284855
#>  [7704,] 36.4817845
#>  [7705,] 18.9312268
#>  [7706,]  9.7226734
#>  [7707,]  6.0825534
#>  [7708,]  3.2437095
#>  [7709,]  4.0028341
#>  [7710,]  5.2217168
#>  [7711,]  1.6167463
#>  [7712,]  4.2531588
#>  [7713,]  3.9034239
#>  [7714,]  5.2295247
#>  [7715,]  6.4390502
#>  [7716,]  7.6268967
#>  [7717,]  7.7030707
#>  [7718,]  8.0656874
#>  [7719,]  5.5410447
#>  [7720,]  6.8238734
#>  [7721,]  9.6048277
#>  [7722,] 19.1818544
#>  [7723,]  6.9823386
#>  [7724,] 12.0110155
#>  [7725,] 13.8506377
#>  [7726,]  8.6877092
#>  [7727,]  2.7085140
#>  [7728,]  6.8707302
#>  [7729,]  5.7608438
#>  [7730,]  1.2078280
#>  [7731,]  1.0514545
#>  [7732,]  1.6946468
#>  [7733,]  2.2879135
#>  [7734,]  3.3463224
#>  [7735,]  2.6777439
#>  [7736,]  3.2043942
#>  [7737,]  4.4410526
#>  [7738,]  3.1346795
#>  [7739,]  3.3092246
#>  [7740,]  1.7923416
#>  [7741,]  2.0905141
#>  [7742,]  0.8313707
#>  [7743,]  2.8522670
#>  [7744,]  1.7303876
#>  [7745,]  5.5501601
#>  [7746,]  8.8077587
#>  [7747,] 10.2789653
#>  [7748,]  5.7177060
#>  [7749,]  5.7546296
#>  [7750,]  2.6341184
#>  [7751,]  2.5058752
#>  [7752,]  1.7809912
#>  [7753,]  2.5380071
#>  [7754,]  4.9707168
#>  [7755,]  4.5530062
#>  [7756,]  5.3748481
#>  [7757,]  3.6232328
#>  [7758,]  2.2729080
#>  [7759,]  1.4212145
#>  [7760,]  1.6055774
#>  [7761,]  0.7455145
#>  [7762,]  1.4073897
#>  [7763,]  1.7657928
#>  [7764,]  4.7998503
#>  [7765,]  5.6763543
#>  [7766,]  1.6537254
#>  [7767,]  0.8717124
#>  [7768,]  2.5458157
#>  [7769,]  1.9458188
#>  [7770,]  0.7714160
#>  [7771,]  1.5371478
#>  [7772,]  1.6368809
#>  [7773,]  4.9338288
#>  [7774,]  6.1205740
#>  [7775,]  5.6859031
#>  [7776,]  5.0979633
#>  [7777,]  4.4360315
#>  [7778,]  3.7520594
#>  [7779,]  1.0514652
#>  [7780,]  0.3049734
#>  [7781,]  2.1321665
#>  [7782,]  1.4529442
#>  [7783,]  0.7834004
#>  [7784,]  1.3021785
#>  [7785,]  0.1973128
#>  [7786,]  1.2528568
#>  [7787,]  1.6523402
#>  [7788,]  1.3311209
#>  [7789,]  3.4400655
#>  [7790,]  3.4275225
#>  [7791,]  1.4430339
#>  [7792,]  4.6421155
#>  [7793,]  3.7556162
#>  [7794,]  3.8188682
#>  [7795,]  0.5595327
#>  [7796,]  0.8565626
#>  [7797,]  2.0105692
#>  [7798,]  1.9963077
#>  [7799,]  1.9063265
#>  [7800,]  1.0165980
#>  [7801,]  3.4828645
#>  [7802,]  6.5668426
#>  [7803,]  6.5253504
#>  [7804,]  9.3711668
#>  [7805,]  2.4605406
#>  [7806,]  8.1327396
#>  [7807,] 10.2099390
#>  [7808,] 15.0784104
#>  [7809,] 13.4935729
#>  [7810,]  8.0369325
#>  [7811,]  7.7276035
#>  [7812,]  7.8781607
#>  [7813,]  5.8190058
#>  [7814,]  4.2767440
#>  [7815,]  0.7762112
#>  [7816,]  1.3102817
#>  [7817,]  0.9530087
#>  [7818,]  5.6559189
#>  [7819,]  5.2473082
#>  [7820,]  3.5789743
#>  [7821,]  5.2230817
#>  [7822,]  3.1287790
#>  [7823,]  2.3940061
#>  [7824,]  8.3339294
#>  [7825,]  9.8562263
#>  [7826,]  5.3451949
#>  [7827,]  4.2309090
#>  [7828,]  6.2907923
#>  [7829,]  9.0141674
#>  [7830,]  9.9409392
#>  [7831,]  5.7090852
#>  [7832,] 11.1423732
#>  [7833,] 12.4400317
#>  [7834,] 11.6631589
#>  [7835,] 11.8940201
#>  [7836,]  5.1261308
#>  [7837,]  6.8833786
#>  [7838,]  6.1269938
#>  [7839,]  8.6872990
#>  [7840,] 38.5360985
#>  [7841,] 22.5823960
#>  [7842,] 24.8378066
#>  [7843,] 14.1544531
#>  [7844,] 30.1265742
#>  [7845,] 28.0294678
#>  [7846,] 37.5337116
#>  [7847,] 33.3584621
#>  [7848,] 26.4311899
#>  [7849,] 12.8033422
#>  [7850,] 11.9491439
#>  [7851,] 27.9825140
#>  [7852,] 11.7953414
#>  [7853,]  7.4317871
#>  [7854,]  6.4615997
#>  [7855,]  4.3411429
#>  [7856,]  8.3555332
#>  [7857,]  9.0759118
#>  [7858,]  9.6429642
#>  [7859,] 18.5650365
#>  [7860,] 20.1389810
#>  [7861,] 12.4624438
#>  [7862,] 12.3869012
#>  [7863,]  6.8609964
#>  [7864,]  4.8634760
#>  [7865,]  4.6360505
#>  [7866,]  4.8716809
#>  [7867,]  4.8401331
#>  [7868,]  2.8277653
#>  [7869,]  1.0087054
#>  [7870,]  1.4383551
#>  [7871,]  2.6062365
#>  [7872,]  7.8073270
#>  [7873,]  8.4784664
#>  [7874,]  9.9031266
#>  [7875,]  5.4911411
#>  [7876,]  4.0544136
#>  [7877,]  9.6316314
#>  [7878,]  8.8632487
#>  [7879,] 16.0909938
#>  [7880,] 16.6000035
#>  [7881,]  7.7139422
#>  [7882,]  4.5885818
#>  [7883,]  4.2540308
#>  [7884,]  6.9142440
#>  [7885,]  4.8864692
#>  [7886,]  6.4034633
#>  [7887,]  4.5507745
#>  [7888,] 12.3647214
#>  [7889,]  6.3945467
#>  [7890,]  7.7489997
#>  [7891,]  8.2465197
#>  [7892,]  5.5219396
#>  [7893,]  7.3510242
#>  [7894,]  9.5209702
#>  [7895,] 10.6300169
#>  [7896,] 13.1717607
#>  [7897,] 15.0264187
#>  [7898,] 14.8979602
#>  [7899,] 10.0490960
#>  [7900,] 11.9151288
#>  [7901,] 19.0675251
#>  [7902,] 12.7731353
#>  [7903,] 13.5515590
#>  [7904,]  4.1083613
#>  [7905,]  5.6203823
#>  [7906,]  3.1228657
#>  [7907,]  0.7247254
#>  [7908,]  3.1981082
#>  [7909,]  3.5451669
#>  [7910,]  4.7290626
#>  [7911,]  5.4593857
#>  [7912,]  7.3417252
#>  [7913,]  9.5623683
#>  [7914,]  8.2196263
#>  [7915,]  6.1490426
#>  [7916,]  2.8053955
#>  [7917,]  4.3085263
#>  [7918,]  3.1230931
#>  [7919,] 11.9317144
#>  [7920,]  9.3618349
#>  [7921,]  3.5200372
#>  [7922,] 12.1522608
#>  [7923,] 18.4782985
#>  [7924,]  8.0337918
#>  [7925,]  4.5003944
#>  [7926,]  4.5020268
#>  [7927,]  1.8441676
#>  [7928,]  3.0039610
#>  [7929,]  3.9188388
#>  [7930,]  0.5743701
#>  [7931,]  4.0256776
#>  [7932,]  4.0574210
#>  [7933,]  3.3356247
#>  [7934,]  4.1569328
#>  [7935,]  5.8666895
#>  [7936,]  4.8308369
#>  [7937,]  4.5377081
#>  [7938,]  7.6251336
#>  [7939,]  5.3589338
#>  [7940,]  7.9684730
#>  [7941,]  8.0777058
#>  [7942,] 11.1076002
#>  [7943,]  9.0989850
#>  [7944,]  9.0024754
#>  [7945,]  6.9302343
#>  [7946,]  7.8500985
#>  [7947,]  6.7033159
#>  [7948,] 18.0421429
#>  [7949,]  9.3127561
#>  [7950,] 13.7552351
#>  [7951,] 11.2151281
#>  [7952,] 16.9389558
#>  [7953,]  9.6025733
#>  [7954,] 14.5156793
#>  [7955,]  7.8938536
#>  [7956,]  8.6353101
#>  [7957,]  6.8925987
#>  [7958,]  5.3380406
#>  [7959,]  6.0407145
#>  [7960,] 10.1907203
#>  [7961,] 12.3266248
#>  [7962,]  4.7644790
#>  [7963,]  2.7303181
#>  [7964,]  3.5497065
#>  [7965,]  2.4059415
#>  [7966,]  1.5602264
#>  [7967,]  0.9102632
#>  [7968,]  3.1258276
#>  [7969,]  1.9351685
#>  [7970,]  3.7418899
#>  [7971,]  1.7020319
#>  [7972,]  1.7449830
#>  [7973,]  1.6991476
#>  [7974,]  1.7551044
#>  [7975,]  1.1557956
#>  [7976,]  0.7910549
#>  [7977,]  1.5838785
#>  [7978,]  2.6835387
#>  [7979,]  2.3205944
#>  [7980,]  3.1677220
#>  [7981,]  2.9532262
#>  [7982,]  2.1580110
#>  [7983,]  4.3016970
#>  [7984,]  3.0552973
#>  [7985,]  8.0491351
#>  [7986,] 12.9317373
#>  [7987,] 10.0881461
#>  [7988,]  5.9634298
#>  [7989,]  8.0771763
#>  [7990,]  6.6294115
#>  [7991,]  5.5241265
#>  [7992,]  4.5108790
#>  [7993,]  3.0577340
#>  [7994,]  3.9175032
#>  [7995,]  5.3089725
#>  [7996,]  8.6492498
#>  [7997,] 12.6329297
#>  [7998,]  9.0987461
#>  [7999,] 11.5669196
#>  [8000,] 20.3138603
#>  [8001,]  9.5083809
#>  [8002,] 16.1798044
#>  [8003,] 11.6713792
#>  [8004,] 18.5595821
#>  [8005,] 13.7411356
#>  [8006,] 21.1806598
#>  [8007,] 10.7853826
#>  [8008,]  7.0623597
#>  [8009,] 11.3715755
#>  [8010,]  5.4544389
#>  [8011,]  4.6397483
#>  [8012,]  2.3371686
#>  [8013,]  4.0034423
#>  [8014,]  9.4420543
#>  [8015,] 20.4726113
#>  [8016,] 19.7718813
#>  [8017,]  7.1167110
#>  [8018,]  7.6568912
#>  [8019,] 15.9839226
#>  [8020,] 10.9663737
#>  [8021,] 13.5365370
#>  [8022,] 10.4859734
#>  [8023,]  4.5784751
#>  [8024,]  3.8910298
#>  [8025,]  7.6461195
#>  [8026,] 10.5719925
#>  [8027,] 12.7453004
#>  [8028,] 13.2693064
#>  [8029,] 16.5273992
#>  [8030,]  8.9223213
#>  [8031,] 16.9691105
#>  [8032,] 10.0826002
#>  [8033,] 10.9129721
#>  [8034,]  8.1391218
#>  [8035,] 14.4398254
#>  [8036,]  7.0174070
#>  [8037,]  4.5062374
#>  [8038,]  6.3868878
#>  [8039,]  8.3049531
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#>  [8042,] 11.3819710
#>  [8043,]  9.6564990
#>  [8044,]  8.8544947
#>  [8045,]  5.5820337
#>  [8046,]  5.3655944
#>  [8047,]  5.9095129
#>  [8048,] 15.5315418
#>  [8049,]  9.8788281
#>  [8050,]  1.4225633
#>  [8051,]  4.6313091
#>  [8052,]  5.1419510
#>  [8053,]  3.4239017
#>  [8054,]  2.3101717
#>  [8055,]  1.3223900
#>  [8056,]  6.5956718
#>  [8057,]  4.2302348
#>  [8058,]  5.5764608
#>  [8059,] 12.5705989
#>  [8060,]  9.0567817
#>  [8061,] 15.2973347
#>  [8062,] 15.7971269
#>  [8063,] 16.9352061
#>  [8064,] 22.4482188
#>  [8065,] 23.7264945
#>  [8066,] 13.0438016
#>  [8067,] 12.8262123
#>  [8068,] 12.1896882
#>  [8069,]  7.1074990
#>  [8070,] 10.8108032
#>  [8071,]  4.8300685
#>  [8072,]  7.8594809
#>  [8073,]  3.9364833
#>  [8074,]  3.7573099
#>  [8075,]  0.8571146
#>  [8076,]  1.6907740
#>  [8077,]  2.1255057
#>  [8078,]  4.2566871
#>  [8079,]  3.2300366
#>  [8080,]  3.3032815
#>  [8081,]  4.6360712
#>  [8082,]  5.1807739
#>  [8083,]  7.8666489
#>  [8084,]  5.5216344
#>  [8085,]  3.1522690
#>  [8086,]  2.5123682
#>  [8087,]  2.3457189
#>  [8088,]  2.9166621
#>  [8089,]  3.8458872
#>  [8090,]  6.5838115
#>  [8091,]  9.6188908
#>  [8092,] 18.6661678
#>  [8093,] 12.6063892
#>  [8094,]  6.8617875
#>  [8095,]  8.5401230
#>  [8096,]  9.1311491
#>  [8097,] 13.0320442
#>  [8098,] 10.4116817
#>  [8099,] 19.6622337
#>  [8100,] 13.4947410
#>  [8101,] 14.4782152
#>  [8102,]  4.1944220
#>  [8103,] 11.1726471
#>  [8104,] 15.4556246
#>  [8105,] 25.9821047
#>  [8106,] 17.9583833
#>  [8107,] 14.4349982
#>  [8108,] 19.9462203
#>  [8109,]  6.9887236
#>  [8110,]  1.7463912
#>  [8111,]  5.3160999
#>  [8112,]  3.0000579
#>  [8113,]  3.5376409
#>  [8114,]  1.4810434
#>  [8115,]  6.1479149
#>  [8116,]  3.0277084
#>  [8117,]  1.8462524
#>  [8118,]  4.4067234
#>  [8119,]  2.9170421
#>  [8120,]  2.4364860
#>  [8121,]  3.2697312
#>  [8122,]  6.1067274
#>  [8123,] 20.9984182
#>  [8124,] 18.1912131
#>  [8125,] 13.5587610
#>  [8126,] 14.6884061
#>  [8127,]  6.9703875
#>  [8128,]  9.0266178
#>  [8129,]  9.0626588
#>  [8130,] 21.5731750
#>  [8131,] 13.5850453
#>  [8132,]  9.2121143
#>  [8133,]  6.6117770
#>  [8134,]  4.3199322
#>  [8135,] 11.4936349
#>  [8136,]  6.7361310
#>  [8137,]  4.7419265
#>  [8138,]  0.9486436
#>  [8139,]  2.9843803
#>  [8140,] 16.3151794
#>  [8141,] 18.5371506
#>  [8142,] 17.0326231
#>  [8143,] 10.7081813
#>  [8144,] 12.5667885
#>  [8145,] 11.4889777
#>  [8146,] 20.4209216
#>  [8147,] 23.5670482
#>  [8148,] 26.5024431
#>  [8149,] 21.2506875
#>  [8150,] 17.9179238
#>  [8151,] 10.7099703
#>  [8152,] 24.4619037
#>  [8153,] 16.6214471
#>  [8154,] 12.9397967
#>  [8155,]  5.4659531
#>  [8156,]  4.2315612
#>  [8157,]  3.9945348
#>  [8158,]  8.3903809
#>  [8159,] 14.5732696
#>  [8160,]  8.2115391
#>  [8161,] 13.2834256
#>  [8162,] 15.9195757
#>  [8163,]  8.7118132
#>  [8164,]  7.7851716
#>  [8165,] 10.6724926
#>  [8166,]  6.3686809
#>  [8167,]  4.1844798
#>  [8168,]  0.2615377
#>  [8169,]  0.5579970
#>  [8170,]  0.6312074
#>  [8171,]  2.5539048
#>  [8172,] 14.2558302
#>  [8173,]  5.3028051
#>  [8174,]  4.0407377
#>  [8175,] 12.2471853
#>  [8176,]  7.8029035
#>  [8177,]  6.3824847
#>  [8178,]  5.0700478
#>  [8179,]  3.8892262
#>  [8180,] 12.0269271
#>  [8181,] 18.0905055
#>  [8182,] 21.9448563
#>  [8183,] 21.6879205
#>  [8184,] 46.4468070
#>  [8185,] 15.2760684
#>  [8186,]  8.2523243
#>  [8187,] 11.8073777
#>  [8188,] 19.9472589
#>  [8189,] 20.9795397
#>  [8190,] 17.0440379
#>  [8191,]  6.5415710
#>  [8192,]  1.7322630
#>  [8193,]  0.9117376
#>  [8194,]  1.7808320
#>  [8195,]  1.6742420
#>  [8196,]  0.9448191
#>  [8197,]  2.2557505
#>  [8198,]  3.6915089
#>  [8199,]  1.7372097
#>  [8200,]  3.9713827
#>  [8201,]  4.5484282
#>  [8202,] 10.4935777
#>  [8203,]  8.7502256
#>  [8204,]  7.3017702
#>  [8205,]  9.4702598
#>  [8206,]  5.5253643
#>  [8207,]  6.3505124
#>  [8208,]  8.0429068
#>  [8209,]  8.1362971
#>  [8210,] 21.1947889
#>  [8211,] 11.3041696
#>  [8212,] 18.0021422
#>  [8213,] 19.1792528
#>  [8214,] 21.7845506
#>  [8215,] 18.2845330
#>  [8216,] 10.0975647
#>  [8217,] 13.1920700
#>  [8218,]  5.6917286
#>  [8219,]  7.8931484
#>  [8220,]  4.5681944
#>  [8221,] 11.0239919
#>  [8222,]  9.9521774
#>  [8223,]  9.8367241
#>  [8224,]  3.4133475
#>  [8225,]  6.5194673
#>  [8226,]  6.4004115
#>  [8227,]  4.0598980
#>  [8228,]  4.9109560
#>  [8229,] 13.3067656
#>  [8230,] 13.7485760
#>  [8231,]  9.2890975
#>  [8232,]  7.4519435
#>  [8233,]  4.2867381
#>  [8234,]  4.6820756
#>  [8235,]  7.5531449
#>  [8236,]  7.2929588
#>  [8237,]  3.3659019
#>  [8238,]  3.8530704
#>  [8239,]  6.0898948
#>  [8240,]  2.5525020
#>  [8241,]  2.3816814
#>  [8242,]  2.0461479
#>  [8243,]  6.2128867
#>  [8244,]  8.4916358
#>  [8245,] 12.7135170
#>  [8246,]  5.2917481
#>  [8247,] 12.0536210
#>  [8248,] 13.8309592
#>  [8249,] 14.7935016
#>  [8250,] 11.9766761
#>  [8251,] 13.4015574
#>  [8252,] 11.2612140
#>  [8253,]  8.4962286
#>  [8254,] 12.5513464
#>  [8255,] 15.9099307
#>  [8256,] 39.4775663
#>  [8257,] 34.6277619
#>  [8258,] 19.9869447
#>  [8259,] 16.6330948
#>  [8260,] 14.0514767
#>  [8261,]  7.7340246
#>  [8262,]  4.4111294
#>  [8263,] 21.4779605
#>  [8264,] 31.0918895
#>  [8265,] 14.7630446
#>  [8266,]  8.6445851
#>  [8267,]  4.8798175
#>  [8268,]  7.7475958
#>  [8269,] 10.7045981
#>  [8270,] 12.0008547
#>  [8271,]  4.5912850
#>  [8272,] 11.3434888
#>  [8273,] 12.3980169
#>  [8274,] 14.9302324
#>  [8275,]  9.3489234
#>  [8276,]  5.3242017
#>  [8277,] 11.6527283
#>  [8278,] 16.8486922
#>  [8279,] 13.7078775
#>  [8280,]  6.6737113
#>  [8281,]  2.1121466
#>  [8282,]  1.0718264
#>  [8283,]  3.1460880
#>  [8284,]  5.0121485
#>  [8285,]  5.5723395
#>  [8286,]  6.0908011
#>  [8287,]  3.5916847
#>  [8288,]  6.9117354
#>  [8289,]  8.2130292
#>  [8290,] 10.2367154
#>  [8291,]  3.8611337
#>  [8292,]  2.2828736
#>  [8293,]  6.9759278
#>  [8294,] 14.0175408
#>  [8295,] 12.2322619
#>  [8296,]  7.1725763
#>  [8297,]  5.9551042
#>  [8298,] 12.3289871
#>  [8299,]  6.2532626
#>  [8300,] 11.4381063
#>  [8301,]  4.5174794
#>  [8302,]  4.8188245
#>  [8303,]  4.0969877
#>  [8304,]  3.5366740
#>  [8305,]  1.5334470
#>  [8306,]  5.1756265
#>  [8307,]  0.7201316
#>  [8308,]  0.6185309
#>  [8309,]  1.7420364
#>  [8310,]  1.7395827
#>  [8311,]  5.0263870
#>  [8312,]  4.4249360
#>  [8313,]  6.7737510
#>  [8314,]  1.8669317
#>  [8315,]  2.9479183
#>  [8316,]  3.4086521
#>  [8317,]  5.0553057
#>  [8318,]  7.8340829
#>  [8319,] 12.1970560
#>  [8320,] 16.7547690
#>  [8321,] 11.0889615
#>  [8322,]  3.3953956
#>  [8323,]  9.9671997
#>  [8324,] 16.2505686
#>  [8325,] 17.3819305
#>  [8326,] 16.3044832
#>  [8327,] 27.4316654
#>  [8328,] 36.4630894
#>  [8329,] 16.7394203
#>  [8330,] 13.6554829
#>  [8331,]  7.5231101
#>  [8332,]  6.8914970
#>  [8333,] 10.6685802
#>  [8334,]  8.9710078
#>  [8335,]  6.6754627
#>  [8336,] 14.9551099
#>  [8337,] 13.4263204
#>  [8338,]  9.2633791
#>  [8339,]  6.8704662
#>  [8340,] 11.3596388
#>  [8341,] 12.5118892
#>  [8342,] 16.3792923
#>  [8343,] 11.5981321
#>  [8344,] 14.4044884
#>  [8345,] 11.3198030
#>  [8346,] 12.7011465
#>  [8347,]  7.1577692
#>  [8348,]  4.5424010
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#>  [8358,]  3.5582556
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#>  [8360,]  7.5994607
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#>  [8370,]  3.3585797
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#>  [8373,]  2.8662981
#>  [8374,]  4.1540194
#>  [8375,]  6.8342929
#>  [8376,]  5.4895227
#>  [8377,]  3.2216397
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#>  [8379,]  2.1535057
#>  [8380,]  2.1305230
#>  [8381,]  3.3043484
#>  [8382,]  4.0001882
#>  [8383,]  5.9771241
#>  [8384,]  6.1960772
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#>  [8386,]  5.2501933
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#>  [8388,]  6.2099715
#>  [8389,]  7.6413771
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#>  [8391,]  2.1121720
#>  [8392,]  4.9011721
#>  [8393,]  1.2269541
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#>  [8396,]  1.6080302
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#>  [8400,]  4.6308318
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#>  [8404,]  1.4745526
#>  [8405,]  1.7155719
#>  [8406,]  1.9900404
#>  [8407,]  1.3713696
#>  [8408,]  0.7160080
#>  [8409,]  3.7905494
#>  [8410,]  1.8243729
#>  [8411,]  2.2321404
#>  [8412,]  6.4873528
#>  [8413,]  4.4656495
#>  [8414,]  8.2886290
#>  [8415,]  5.9532914
#>  [8416,]  4.3239058
#>  [8417,]  1.8547628
#>  [8418,]  2.2951903
#>  [8419,]  1.0813579
#>  [8420,]  3.1314925
#>  [8421,]  3.4833669
#>  [8422,]  5.6622267
#>  [8423,]  7.9713827
#>  [8424,]  4.0346660
#>  [8425,]  7.9663692
#>  [8426,]  9.1255425
#>  [8427,]  7.1975941
#>  [8428,]  5.5924692
#>  [8429,] 15.4585838
#>  [8430,] 20.1003105
#>  [8431,]  8.5156416
#>  [8432,]  7.5863904
#>  [8433,] 10.4994121
#>  [8434,]  9.7234566
#>  [8435,]  6.9477960
#>  [8436,]  9.4903404
#>  [8437,] 10.8769597
#>  [8438,]  8.1303151
#>  [8439,]  4.6131805
#>  [8440,]  4.3855181
#>  [8441,]  2.3375254
#>  [8442,]  5.4563798
#>  [8443,]  4.8518860
#>  [8444,]  4.2471994
#>  [8445,]  2.5127000
#>  [8446,]  5.8344085
#>  [8447,]  0.9344198
#>  [8448,]  1.3112531
#>  [8449,]  6.9865842
#>  [8450,]  6.5475355
#>  [8451,]  9.2088656
#>  [8452,]  5.3488569
#>  [8453,]  3.0636258
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#>  [8457,]  3.2281188
#>  [8458,]  3.1137879
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#>  [8460,]  1.9090070
#>  [8461,]  2.6161942
#>  [8462,]  1.9077368
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#>  [8465,]  1.6389170
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#>  [8471,]  0.6329312
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#>  [8474,]  7.1169473
#>  [8475,] 11.3982344
#>  [8476,]  4.8168885
#>  [8477,]  6.6894874
#>  [8478,]  6.7587166
#>  [8479,]  4.5798601
#>  [8480,]  9.4683706
#>  [8481,] 11.9041901
#>  [8482,] 14.3083330
#>  [8483,] 15.5161762
#>  [8484,] 15.1151998
#>  [8485,]  8.3045889
#>  [8486,]  6.5917708
#>  [8487,]  6.2575550
#>  [8488,]  7.7058888
#>  [8489,]  6.6714384
#>  [8490,]  9.3120080
#>  [8491,]  8.4214690
#>  [8492,]  0.9940653
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#>  [8494,]  1.3418971
#>  [8495,]  2.7446138
#>  [8496,]  1.5973844
#>  [8497,]  5.1959614
#>  [8498,]  3.2039796
#>  [8499,] 10.7974306
#>  [8500,] 12.2312956
#>  [8501,]  8.5541158
#>  [8502,] 11.1487218
#>  [8503,] 15.2231486
#>  [8504,] 17.8332171
#>  [8505,] 11.3680072
#>  [8506,] 15.1304127
#>  [8507,]  9.3048133
#>  [8508,]  5.3193183
#>  [8509,]  4.5390998
#>  [8510,]  7.4316610
#>  [8511,] 11.2650283
#>  [8512,] 13.8775322
#>  [8513,] 15.0285143
#>  [8514,]  4.9943586
#>  [8515,]  5.6727085
#>  [8516,]  5.6116369
#>  [8517,]  5.1702964
#>  [8518,]  4.8626936
#>  [8519,]  5.5931842
#>  [8520,]  2.7911919
#>  [8521,]  4.2883641
#>  [8522,]  5.3011410
#>  [8523,]  6.3129935
#>  [8524,]  2.5398433
#>  [8525,]  4.3888511
#>  [8526,]  4.5300391
#>  [8527,]  6.1731436
#>  [8528,]  4.9597703
#>  [8529,]  8.9293195
#>  [8530,]  4.8591213
#>  [8531,]  4.2333193
#>  [8532,]  4.6151300
#>  [8533,]  3.5296405
#>  [8534,]  5.5214047
#>  [8535,]  3.0464243
#>  [8536,]  5.1405064
#>  [8537,]  6.3862351
#>  [8538,]  8.1125847
#>  [8539,]  8.0520202
#>  [8540,]  5.8417777
#>  [8541,] 13.5166765
#>  [8542,]  6.4030858
#>  [8543,] 12.1234428
#>  [8544,]  8.3993286
#>  [8545,]  5.7923261
#>  [8546,]  3.8241590
#>  [8547,]  5.8423547
#>  [8548,]  3.4641049
#>  [8549,]  2.6210157
#>  [8550,]  7.4122410
#>  [8551,]  8.1024991
#>  [8552,]  9.8045085
#>  [8553,] 12.4276528
#>  [8554,] 11.9940671
#>  [8555,] 16.3232009
#>  [8556,] 18.5883342
#>  [8557,]  9.4502656
#>  [8558,]  5.0194693
#>  [8559,] 13.7083778
#>  [8560,] 15.6382801
#>  [8561,]  9.3775723
#>  [8562,] 11.6632923
#>  [8563,] 13.2872048
#>  [8564,] 12.2124859
#>  [8565,] 14.4837446
#>  [8566,] 10.2747211
#>  [8567,]  7.9978102
#>  [8568,]  7.5515772
#>  [8569,]  9.2691325
#>  [8570,]  7.2512704
#>  [8571,]  9.0828921
#>  [8572,]  3.4615923
#>  [8573,]  1.6892922
#>  [8574,]  8.1837868
#>  [8575,]  5.8266181
#>  [8576,]  3.9005528
#>  [8577,]  5.0266263
#>  [8578,]  2.8302491
#>  [8579,]  3.8843847
#>  [8580,]  1.8425106
#>  [8581,]  3.7139553
#>  [8582,]  4.8504899
#>  [8583,]  8.1530581
#>  [8584,] 17.1465520
#>  [8585,] 10.7285272
#>  [8586,]  8.0530559
#>  [8587,]  3.9427736
#>  [8588,]  6.2473765
#>  [8589,]  6.2536136
#>  [8590,]  7.2821243
#>  [8591,]  3.5760763
#>  [8592,]  3.3351572
#>  [8593,]  2.0888457
#>  [8594,]  4.0019153
#>  [8595,]  2.4705052
#>  [8596,]  0.9436971
#>  [8597,]  0.7818640
#>  [8598,]  1.5519324
#>  [8599,]  2.4551726
#>  [8600,]  1.3688578
#>  [8601,]  4.3520230
#>  [8602,]  4.0702244
#>  [8603,]  7.5653071
#>  [8604,] 10.7633048
#>  [8605,] 14.4900689
#>  [8606,] 18.3122607
#>  [8607,] 10.8123071
#>  [8608,] 11.2606733
#>  [8609,] 11.6887554
#>  [8610,] 16.3215001
#>  [8611,] 14.5028811
#>  [8612,] 12.1729283
#>  [8613,] 10.6571779
#>  [8614,]  5.6111442
#>  [8615,]  6.5399645
#>  [8616,]  5.3468480
#>  [8617,]  4.6739906
#>  [8618,]  3.5500530
#>  [8619,]  5.7043000
#>  [8620,]  5.2280447
#>  [8621,] 10.2203592
#>  [8622,] 13.0508835
#>  [8623,]  9.3738394
#>  [8624,]  4.1922158
#>  [8625,]  3.5998188
#>  [8626,]  1.0748134
#>  [8627,]  1.9534759
#>  [8628,]  2.7459289
#>  [8629,]  7.7561621
#>  [8630,] 10.4081908
#>  [8631,] 27.3826265
#>  [8632,] 21.7257523
#>  [8633,] 46.6609832
#>  [8634,] 40.1103518
#>  [8635,] 18.4589435
#>  [8636,]  8.0868958
#>  [8637,]  6.6865134
#>  [8638,]  5.5926298
#>  [8639,] 23.3897547
#>  [8640,] 12.6481140
#>  [8641,]  6.6771480
#>  [8642,]  2.4082276
#>  [8643,]  1.5405076
#>  [8644,]  3.9125240
#>  [8645,]  2.7810864
#>  [8646,]  2.4707000
#>  [8647,]  2.6372232
#>  [8648,]  1.1738853
#>  [8649,]  4.9708396
#>  [8650,]  3.1034364
#>  [8651,]  7.9008106
#>  [8652,]  6.3748216
#>  [8653,] 12.1857777
#>  [8654,] 14.8722229
#>  [8655,] 15.8670296
#>  [8656,]  5.5785080
#>  [8657,]  8.6767544
#>  [8658,]  8.1838082
#>  [8659,]  3.8150991
#>  [8660,]  3.5142526
#>  [8661,]  0.8840752
#>  [8662,]  0.7096556
#>  [8663,]  0.5267818
#>  [8664,]  1.1543704
#>  [8665,]  3.4133523
#>  [8666,]  6.4363750
#>  [8667,]  9.6762611
#>  [8668,] 14.4508860
#>  [8669,] 17.9183954
#>  [8670,] 36.8024566
#>  [8671,] 22.2049358
#>  [8672,] 32.3414735
#>  [8673,] 14.4970144
#>  [8674,]  8.5665837
#>  [8675,] 12.1121974
#>  [8676,] 47.0442763
#>  [8677,] 14.1316020
#>  [8678,] 12.3575080
#>  [8679,] 11.3428391
#>  [8680,] 18.7477863
#>  [8681,] 14.1803064
#>  [8682,] 15.9780591
#>  [8683,] 13.4565571
#>  [8684,] 11.1381451
#>  [8685,]  1.9878063
#>  [8686,]  2.3694573
#>  [8687,]  5.8464908
#>  [8688,] 11.1102093
#>  [8689,]  8.3759866
#>  [8690,]  3.7712205
#>  [8691,]  5.1474876
#>  [8692,]  2.3854431
#>  [8693,]  1.8113995
#>  [8694,]  0.8688946
#>  [8695,]  1.1884697
#>  [8696,]  2.1910557
#>  [8697,]  4.2396357
#>  [8698,]  4.9115447
#>  [8699,]  1.5808138
#>  [8700,]  0.7008795
#>  [8701,]  1.0921243
#>  [8702,]  4.0239163
#>  [8703,]  2.3120664
#>  [8704,]  6.0118644
#>  [8705,] 11.0772612
#>  [8706,] 14.0238429
#>  [8707,]  6.4651922
#>  [8708,] 10.1783965
#>  [8709,] 19.6879968
#>  [8710,] 14.8972088
#>  [8711,] 12.7740537
#>  [8712,] 10.0906902
#>  [8713,] 10.0179878
#>  [8714,] 13.7536106
#>  [8715,]  7.7835890
#>  [8716,]  4.6996827
#>  [8717,]  8.0940126
#>  [8718,] 14.9470105
#>  [8719,] 13.9357947
#>  [8720,] 15.5192743
#>  [8721,] 14.3570345
#>  [8722,] 10.5330642
#>  [8723,] 12.1759329
#>  [8724,]  1.9895013
#>  [8725,]  3.3939186
#>  [8726,]  4.4015279
#>  [8727,]  6.1630676
#>  [8728,]  9.0892025
#>  [8729,]  5.6209593
#>  [8730,]  5.0078739
#>  [8731,]  4.7401215
#>  [8732,]  3.9814834
#>  [8733,]  4.1398377
#>  [8734,]  4.8325403
#>  [8735,]  4.8051353
#>  [8736,]  4.5994539
#>  [8737,]  6.0708452
#>  [8738,] 11.2339660
#>  [8739,] 20.0792206
#>  [8740,] 12.3944273
#>  [8741,]  7.8198314
#>  [8742,]  9.3823894
#>  [8743,] 10.1022427
#>  [8744,] 26.8302145
#>  [8745,] 23.5892797
#>  [8746,] 36.6724668
#>  [8747,] 18.7610108
#>  [8748,] 16.2345879
#>  [8749,]  5.8091574
#>  [8750,]  6.3697756
#>  [8751,]  3.6030406
#>  [8752,]  8.8538405
#>  [8753,] 17.3402040
#>  [8754,] 23.7578601
#>  [8755,]  6.3556500
#>  [8756,]  6.3946648
#>  [8757,] 14.2866011
#>  [8758,]  6.7812560
#>  [8759,] 10.3749563
#>  [8760,]  6.4773107
#>  [8761,]  5.2256552
#>  [8762,]  5.4273296
#>  [8763,] 14.9583783
#>  [8764,]  8.1243598
#>  [8765,]  7.1004183
#>  [8766,]  5.2077984
#>  [8767,] 10.8494023
#>  [8768,]  8.5846602
#>  [8769,] 19.7639639
#>  [8770,] 15.9705688
#>  [8771,] 10.1860288
#>  [8772,] 17.6786106
#>  [8773,] 37.0246179
#>  [8774,] 21.1492198
#>  [8775,] 13.9370472
#>  [8776,] 10.7628349
#>  [8777,] 13.3068315
#>  [8778,] 20.3849611
#>  [8779,] 37.2575861
#>  [8780,] 31.7852737
#>  [8781,] 11.0268051
#>  [8782,]  6.2126454
#>  [8783,]  2.8751120
#>  [8784,]  1.7899386
#>  [8785,]  3.0679560
#>  [8786,]  2.2366508
#>  [8787,]  6.5821010
#>  [8788,]  2.1571544
#>  [8789,]  4.3628693
#>  [8790,] 13.0975280
#>  [8791,]  9.4056067
#>  [8792,]  9.3016427
#>  [8793,]  9.6094536
#>  [8794,]  6.9743332
#>  [8795,] 12.2306591
#>  [8796,]  8.4236382
#>  [8797,]  3.3666751
#>  [8798,]  1.2590537
#>  [8799,]  2.0710536
#>  [8800,]  2.5048008
#>  [8801,]  2.8877264
#>  [8802,]  4.3306975
#>  [8803,]  8.5496988
#>  [8804,] 11.6650464
#>  [8805,] 24.7780402
#>  [8806,] 30.7213951
#>  [8807,] 22.2764953
#>  [8808,] 13.6819968
#>  [8809,] 21.8363926
#>  [8810,] 24.1866613
#>  [8811,] 20.1453336
#>  [8812,] 12.8220167
#>  [8813,]  7.2634202
#>  [8814,]  5.4318585
#>  [8815,]  3.3632619
#>  [8816,] 10.0167946
#>  [8817,]  7.0974715
#>  [8818,]  5.5383045
#>  [8819,]  7.4004094
#>  [8820,] 11.8211975
#>  [8821,] 10.5994735
#>  [8822,] 11.3700277
#>  [8823,]  8.0578227
#>  [8824,]  8.7483259
#>  [8825,]  7.7541906
#>  [8826,]  4.2332781
#>  [8827,]  3.0752491
#>  [8828,]  3.6426720
#>  [8829,]  1.3901272
#>  [8830,]  2.6127194
#>  [8831,]  1.3705740
#>  [8832,]  3.9628489
#>  [8833,]  6.5090106
#>  [8834,]  9.2773858
#>  [8835,] 12.1107992
#>  [8836,] 19.4636508
#>  [8837,] 26.6642538
#>  [8838,] 11.2832466
#>  [8839,] 14.9041080
#>  [8840,] 24.3099532
#>  [8841,] 21.3845735
#>  [8842,] 14.4245725
#>  [8843,] 22.6568639
#>  [8844,] 11.1593824
#>  [8845,]  6.1132701
#>  [8846,] 10.4279635
#>  [8847,]  6.0479990
#>  [8848,]  5.1182676
#>  [8849,]  4.9038120
#>  [8850,]  6.7789636
#>  [8851,] 19.8393668
#>  [8852,]  8.3267381
#>  [8853,] 14.9942077
#>  [8854,]  6.6276416
#>  [8855,]  5.4599085
#>  [8856,]  5.7769889
#>  [8857,]  3.8638823
#>  [8858,]  7.0984919
#>  [8859,]  2.4506391
#>  [8860,]  1.8846471
#>  [8861,]  1.0399813
#>  [8862,]  4.0189357
#>  [8863,] 12.7530035
#>  [8864,] 10.6650675
#>  [8865,] 18.7535144
#>  [8866,] 15.9954374
#>  [8867,]  6.3353195
#>  [8868,]  8.1559590
#>  [8869,]  3.1511011
#>  [8870,]  5.5907613
#>  [8871,] 11.2305456
#>  [8872,]  5.6760619
#>  [8873,]  5.9298329
#>  [8874,]  7.3873775
#>  [8875,] 10.7556940
#>  [8876,] 16.4923961
#>  [8877,] 13.2298880
#>  [8878,] 19.8573753
#>  [8879,] 17.1139953
#>  [8880,] 11.2145863
#>  [8881,] 25.3095247
#>  [8882,] 28.8173408
#>  [8883,] 23.7644300
#>  [8884,] 16.9187350
#>  [8885,] 13.8677126
#>  [8886,] 13.1480951
#>  [8887,] 24.1752621
#>  [8888,] 24.6410974
#>  [8889,] 17.7631645
#>  [8890,]  6.8856442
#>  [8891,]  2.4443896
#>  [8892,]  1.9204057
#>  [8893,]  1.5225053
#>  [8894,]  1.2680835
#>  [8895,]  5.6356877
#>  [8896,]  1.7759746
#>  [8897,]  1.1116545
#>  [8898,]  2.3732548
#>  [8899,]  1.6453562
#>  [8900,]  0.9651683
#>  [8901,]  0.6117140
#>  [8902,]  1.4306426
#>  [8903,]  5.6520825
#>  [8904,]  1.9724309
#>  [8905,]  2.9685260
#>  [8906,]  6.4862066
#>  [8907,]  1.6640937
#>  [8908,]  2.0712264
#>  [8909,]  2.7806987
#>  [8910,]  5.1790934
#>  [8911,]  4.3965869
#>  [8912,]  2.7339862
#>  [8913,]  2.0911170
#>  [8914,]  1.0651216
#>  [8915,]  4.0201179
#>  [8916,]  7.8588402
#>  [8917,]  8.1307391
#>  [8918,]  8.6326885
#>  [8919,]  5.3215625
#>  [8920,]  2.2937992
#>  [8921,]  2.2523379
#>  [8922,]  3.8951131
#>  [8923,] 10.3261310
#>  [8924,]  4.8472501
#>  [8925,]  4.2199627
#>  [8926,]  4.5327533
#>  [8927,]  5.2290292
#>  [8928,]  8.0855163
#>  [8929,] 10.4292376
#>  [8930,] 18.7061723
#>  [8931,] 13.3654280
#>  [8932,] 12.1933794
#>  [8933,] 12.8107568
#>  [8934,] 14.4252202
#>  [8935,] 15.2160861
#>  [8936,] 11.3012486
#>  [8937,] 13.0530798
#>  [8938,]  6.6410016
#>  [8939,]  7.1764370
#>  [8940,]  9.6050409
#>  [8941,]  5.7916916
#>  [8942,]  4.0063196
#>  [8943,]  7.9382692
#>  [8944,]  7.2182183
#>  [8945,]  5.7914759
#>  [8946,]  6.7873359
#>  [8947,] 20.2708665
#>  [8948,] 33.9810787
#>  [8949,] 22.0791290
#>  [8950,] 10.7544741
#>  [8951,] 11.0505451
#>  [8952,]  5.9390398
#>  [8953,] 10.6179532
#>  [8954,]  9.6988913
#>  [8955,] 12.9923606
#>  [8956,] 14.3063126
#>  [8957,] 16.9058177
#>  [8958,] 18.6157659
#>  [8959,] 13.7344314
#>  [8960,]  4.8753146
#>  [8961,]  2.6802025
#>  [8962,]  5.9581904
#>  [8963,] 11.5224201
#>  [8964,]  7.1650458
#>  [8965,]  6.0065865
#>  [8966,] 16.2717136
#>  [8967,] 24.4066855
#>  [8968,] 21.1718386
#>  [8969,]  8.1495021
#>  [8970,]  6.6190780
#>  [8971,]  9.9552807
#>  [8972,]  8.9286268
#>  [8973,]  5.4515027
#>  [8974,]  7.0937873
#>  [8975,]  4.7353424
#>  [8976,]  5.0976909
#>  [8977,]  1.5796221
#>  [8978,]  5.0163963
#>  [8979,]  5.1525121
#>  [8980,]  1.9865223
#>  [8981,]  2.6388541
#>  [8982,]  4.0986019
#>  [8983,]  4.9209520
#>  [8984,]  6.3912397
#>  [8985,]  6.5625499
#>  [8986,]  6.7919662
#>  [8987,]  4.1684302
#>  [8988,]  4.8322095
#>  [8989,]  4.3034471
#>  [8990,]  1.5930340
#>  [8991,]  0.8082564
#>  [8992,]  0.3708706
#>  [8993,]  1.0299668
#>  [8994,]  1.0979303
#>  [8995,]  2.0317347
#>  [8996,]  2.6833834
#>  [8997,]  1.1453014
#>  [8998,]  4.4216644
#>  [8999,]  3.5165105
#>  [9000,]  0.3641005
#>  [9001,]  1.8028953
#>  [9002,]  1.3432424
#>  [9003,]  6.9013971
#>  [9004,] 12.6169230
#>  [9005,] 10.9203099
#>  [9006,]  5.6258661
#>  [9007,]  4.4437001
#>  [9008,]  4.3531943
#>  [9009,]  0.6948051
#>  [9010,]  1.7530401
#>  [9011,]  2.6066277
#>  [9012,]  3.9053811
#>  [9013,]  4.6456487
#>  [9014,]  6.8884560
#>  [9015,]  7.8259909
#>  [9016,]  8.8763466
#>  [9017,]  4.5001321
#>  [9018,] 10.1242143
#>  [9019,]  8.2101273
#>  [9020,] 11.1535280
#>  [9021,]  7.7304413
#>  [9022,]  4.3315151
#>  [9023,]  0.6829903
#>  [9024,]  1.8195514
#>  [9025,]  1.9424310
#>  [9026,]  0.6018188
#>  [9027,]  0.5406508
#>  [9028,]  4.5908447
#>  [9029,]  4.6829110
#>  [9030,]  3.3570824
#>  [9031,]  4.5982287
#>  [9032,]  3.1383387
#>  [9033,]  5.5579383
#>  [9034,]  6.1238904
#>  [9035,]  4.5148530
#>  [9036,] 12.9704463
#>  [9037,] 19.6200050
#>  [9038,] 13.1098233
#>  [9039,] 13.7180251
#>  [9040,]  8.7438734
#>  [9041,] 17.9428908
#>  [9042,] 15.8141763
#>  [9043,]  5.1953213
#>  [9044,] 11.8094816
#>  [9045,] 14.3654909
#>  [9046,]  3.3927738
#>  [9047,]  3.2920021
#>  [9048,]  8.1911511
#>  [9049,] 21.9037676
#>  [9050,] 26.2422055
#>  [9051,] 12.8506715
#>  [9052,]  3.6635174
#>  [9053,]  3.9158977
#>  [9054,]  1.8697726
#>  [9055,]  1.5060904
#>  [9056,]  2.6129466
#>  [9057,]  1.3930627
#>  [9058,]  1.9218995
#>  [9059,]  2.9582096
#>  [9060,]  8.4944569
#>  [9061,]  7.5595752
#>  [9062,]  5.4324348
#>  [9063,]  7.7282696
#>  [9064,]  4.0046658
#>  [9065,]  6.0353650
#>  [9066,]  2.1016056
#>  [9067,]  4.9290262
#>  [9068,]  4.5202220
#>  [9069,]  8.4028513
#>  [9070,]  2.5039627
#>  [9071,]  4.4811040
#>  [9072,]  8.3396496
#>  [9073,] 10.9573787
#>  [9074,] 13.6556656
#>  [9075,] 10.7667921
#>  [9076,] 11.2823551
#>  [9077,] 11.0864997
#>  [9078,]  6.6849944
#>  [9079,]  7.4935082
#>  [9080,] 18.2055251
#>  [9081,] 20.1277020
#>  [9082,]  9.0496985
#>  [9083,]  8.7038836
#>  [9084,] 11.5168058
#>  [9085,] 11.7539383
#>  [9086,]  2.6649793
#>  [9087,]  1.9970443
#>  [9088,]  5.3999757
#>  [9089,] 11.8204763
#>  [9090,]  5.8988962
#>  [9091,]  7.4003691
#>  [9092,]  8.2759830
#>  [9093,]  1.9746211
#>  [9094,]  3.6174082
#>  [9095,]  2.5390030
#>  [9096,]  0.7303026
#>  [9097,]  0.7581776
#>  [9098,]  0.7326569
#>  [9099,]  1.9450538
#>  [9100,]  2.1813742
#>  [9101,]  2.0635972
#>  [9102,]  2.3531462
#>  [9103,]  2.1198709
#>  [9104,]  0.7451651
#>  [9105,]  2.2121195
#>  [9106,]  1.4900793
#>  [9107,]  1.0231717
#>  [9108,]  3.6624398
#>  [9109,]  1.3228851
#>  [9110,]  3.5298380
#>  [9111,]  1.2154516
#>  [9112,]  2.8002222
#>  [9113,]  2.3490077
#>  [9114,]  3.8460578
#>  [9115,]  5.0572176
#>  [9116,] 14.0800383
#>  [9117,] 17.3961166
#>  [9118,] 19.6416865
#>  [9119,] 16.1693589
#>  [9120,] 18.1963674
#>  [9121,]  4.7776170
#>  [9122,]  5.4290685
#>  [9123,]  2.0651055
#>  [9124,]  3.3212404
#>  [9125,]  3.0000560
#>  [9126,]  3.0232540
#>  [9127,]  3.4086436
#>  [9128,]  3.7814505
#>  [9129,]  9.4245779
#>  [9130,]  9.3687280
#>  [9131,]  7.5422940
#>  [9132,]  6.0124300
#>  [9133,]  3.8908274
#>  [9134,]  6.0441984
#>  [9135,]  2.5204657
#>  [9136,]  2.2793217
#>  [9137,]  3.5931146
#>  [9138,]  1.5040910
#>  [9139,]  5.6751269
#>  [9140,]  3.1081830
#>  [9141,]  3.1839128
#>  [9142,]  5.2507296
#>  [9143,]  4.9011005
#>  [9144,]  5.2788037
#>  [9145,]  4.2671001
#>  [9146,]  3.0325653
#>  [9147,]  4.3793359
#>  [9148,]  2.0637680
#>  [9149,]  1.0688624
#>  [9150,]  3.5257329
#>  [9151,]  6.8371474
#>  [9152,]  1.8606084
#>  [9153,]  3.0373833
#>  [9154,]  5.6989604
#>  [9155,]  3.6573939
#>  [9156,]  3.7757304
#>  [9157,] 11.5660956
#>  [9158,]  5.6220700
#>  [9159,]  4.8202900
#>  [9160,]  6.9181708
#>  [9161,]  3.7894449
#>  [9162,]  8.3213736
#>  [9163,]  5.8183081
#>  [9164,]  1.2304148
#>  [9165,]  3.0943703
#>  [9166,]  1.1929699
#>  [9167,]  3.4277375
#>  [9168,]  3.5679593
#>  [9169,]  3.5902163
#>  [9170,] 11.4173732
#>  [9171,] 10.2985629
#>  [9172,]  3.6664307
#>  [9173,]  5.8481732
#>  [9174,]  2.9485641
#>  [9175,]  2.8272625
#>  [9176,]  1.1592240
#>  [9177,]  1.2811226
#>  [9178,]  1.6936138
#>  [9179,]  3.0406478
#>  [9180,]  2.9502918
#>  [9181,]  1.8363603
#>  [9182,]  3.2993130
#>  [9183,]  0.8850511
#>  [9184,]  3.0659830
#>  [9185,]  5.3210015
#>  [9186,]  4.7477573
#>  [9187,]  2.8774918
#>  [9188,]  5.2114292
#>  [9189,]  7.6657628
#>  [9190,]  7.5704342
#>  [9191,] 10.2870564
#>  [9192,]  8.9940232
#>  [9193,] 26.0066480
#>  [9194,] 12.0711972
#>  [9195,]  9.2045805
#>  [9196,]  4.1105005
#>  [9197,]  2.4335379
#>  [9198,]  5.6046516
#>  [9199,] 14.7232544
#>  [9200,] 23.2419972
#>  [9201,] 27.3256055
#>  [9202,] 24.8438000
#>  [9203,] 21.2988902
#>  [9204,] 13.4135346
#>  [9205,]  9.2063663
#>  [9206,] 13.2329437
#>  [9207,] 12.6677989
#>  [9208,]  6.1982271
#>  [9209,]  4.0664619
#>  [9210,] 10.4271541
#>  [9211,] 12.1184347
#>  [9212,]  9.2595792
#>  [9213,]  6.2006786
#>  [9214,]  6.0994119
#>  [9215,] 11.6167781
#>  [9216,] 15.6359054
#>  [9217,] 18.6322323
#>  [9218,] 18.2638040
#>  [9219,]  8.9701673
#>  [9220,]  6.2911085
#>  [9221,]  9.4016767
#>  [9222,]  3.3167400
#>  [9223,]  0.4409885
#>  [9224,]  1.4291021
#>  [9225,]  0.6659658
#>  [9226,]  1.2857192
#>  [9227,]  1.7257326
#>  [9228,]  0.9525128
#>  [9229,]  0.4882066
#>  [9230,]  1.5544819
#>  [9231,]  2.2397040
#>  [9232,]  3.9161955
#>  [9233,]  7.0947974
#>  [9234,]  2.3643570
#>  [9235,]  0.3258285
#>  [9236,]  0.6357819
#>  [9237,]  0.7981907
#>  [9238,]  1.8791884
#>  [9239,]  1.7493426
#>  [9240,]  4.5171037
#>  [9241,]  2.1549141
#>  [9242,]  3.2293449
#>  [9243,]  2.1836435
#>  [9244,]  5.0167062
#>  [9245,] 10.6354231
#>  [9246,]  7.5388712
#>  [9247,]  3.8820131
#>  [9248,]  3.7000671
#>  [9249,] 10.1279064
#>  [9250,] 12.3252808
#>  [9251,] 15.8481460
#>  [9252,] 14.8501789
#>  [9253,] 12.4018720
#>  [9254,]  7.7140183
#>  [9255,]  4.6426180
#>  [9256,]  5.8772252
#>  [9257,]  5.7437540
#>  [9258,]  7.3540219
#>  [9259,]  6.7219817
#>  [9260,]  8.0846992
#>  [9261,]  5.9952253
#>  [9262,]  5.4587441
#>  [9263,]  6.7973022
#>  [9264,]  5.1959703
#>  [9265,]  4.8966139
#>  [9266,]  8.7096547
#>  [9267,] 19.6382093
#>  [9268,] 15.0414797
#>  [9269,] 10.7372022
#>  [9270,]  7.0379843
#>  [9271,]  5.0872257
#>  [9272,]  3.4024231
#>  [9273,]  2.8008319
#>  [9274,]  8.4340925
#>  [9275,]  6.8401650
#>  [9276,] 23.9704678
#>  [9277,]  9.4225436
#>  [9278,]  3.9232549
#>  [9279,]  4.6468692
#>  [9280,]  4.5452166
#>  [9281,]  1.3953584
#>  [9282,]  4.9290263
#>  [9283,]  9.1187860
#>  [9284,]  9.2087928
#>  [9285,]  4.7995380
#>  [9286,]  5.5994768
#>  [9287,]  2.9262368
#>  [9288,]  2.8184374
#>  [9289,] 12.3518401
#>  [9290,]  6.7733103
#>  [9291,]  4.0766435
#>  [9292,]  7.1049965
#>  [9293,] 16.5936986
#>  [9294,] 13.0832404
#>  [9295,] 21.2867585
#>  [9296,] 17.0345114
#>  [9297,] 17.4459799
#>  [9298,]  7.7416722
#>  [9299,] 11.3501175
#>  [9300,]  7.3100686
#>  [9301,] 13.3197394
#>  [9302,]  9.4839547
#>  [9303,]  9.8035943
#>  [9304,] 14.9303009
#>  [9305,] 13.7175860
#>  [9306,] 21.6247105
#>  [9307,] 17.9595218
#>  [9308,] 21.1351867
#>  [9309,] 10.5731699
#>  [9310,] 13.9270627
#>  [9311,]  9.2906335
#>  [9312,]  4.8480181
#>  [9313,]  6.4184674
#>  [9314,]  4.9337626
#>  [9315,]  1.3732607
#>  [9316,]  3.1978764
#>  [9317,]  0.9746642
#>  [9318,]  3.7260863
#>  [9319,]  1.8558563
#>  [9320,]  1.7493191
#>  [9321,]  0.3433685
#>  [9322,]  0.8761829
#>  [9323,]  1.1463286
#>  [9324,]  1.9260148
#>  [9325,]  1.2440942
#>  [9326,]  6.0280858
#>  [9327,]  4.0904590
#>  [9328,]  2.0521042
#>  [9329,]  2.0952137
#>  [9330,]  4.3704648
#>  [9331,]  5.6671030
#>  [9332,] 16.2154848
#>  [9333,] 11.8136828
#>  [9334,] 13.0377103
#>  [9335,] 12.2852166
#>  [9336,] 15.0045311
#>  [9337,] 15.2627472
#>  [9338,] 13.2928971
#>  [9339,] 11.7945552
#>  [9340,] 15.2923902
#>  [9341,] 14.8400280
#>  [9342,] 12.8020402
#>  [9343,]  9.2561495
#>  [9344,]  5.1815618
#>  [9345,]  8.4766894
#>  [9346,] 12.7914143
#>  [9347,] 14.7630292
#>  [9348,] 27.6423501
#>  [9349,] 27.2514246
#>  [9350,] 35.7410185
#>  [9351,] 14.5519029
#>  [9352,] 16.0200848
#>  [9353,]  7.9252059
#>  [9354,]  7.9992181
#>  [9355,]  7.2125403
#>  [9356,] 17.4769623
#>  [9357,] 11.7901792
#>  [9358,] 18.9953407
#>  [9359,]  8.3176100
#>  [9360,]  8.3339051
#>  [9361,] 10.5066506
#>  [9362,]  4.9523760
#>  [9363,]  4.9306653
#>  [9364,]  2.8518350
#>  [9365,]  3.1223472
#>  [9366,]  1.1462074
#>  [9367,]  2.1720760
#>  [9368,]  6.5888584
#>  [9369,]  6.7576340
#>  [9370,]  1.0672641
#>  [9371,]  4.6049546
#>  [9372,]  1.7655935
#>  [9373,]  0.8272050
#>  [9374,]  1.6867453
#>  [9375,]  1.4275441
#>  [9376,]  2.1951780
#>  [9377,]  1.9063320
#>  [9378,]  3.8396293
#>  [9379,]  9.7457536
#>  [9380,]  7.9470156
#>  [9381,]  5.8988749
#>  [9382,]  2.2491811
#>  [9383,]  5.2352510
#>  [9384,]  6.4107333
#>  [9385,]  2.7977185
#>  [9386,]  6.6676032
#>  [9387,]  6.3285286
#>  [9388,] 10.9038334
#>  [9389,] 16.1500614
#>  [9390,]  5.8111701
#>  [9391,]  7.3684494
#>  [9392,]  7.8013242
#>  [9393,]  7.9615416
#>  [9394,]  7.6610062
#>  [9395,]  9.4401061
#>  [9396,] 16.2893673
#>  [9397,] 18.4515864
#>  [9398,] 15.7234997
#>  [9399,] 17.7557523
#>  [9400,] 11.1234094
#>  [9401,]  4.9492265
#>  [9402,]  6.8206614
#>  [9403,]  9.3289771
#>  [9404,] 16.3243207
#>  [9405,]  3.2125421
#>  [9406,]  7.3513937
#>  [9407,]  7.6232111
#>  [9408,] 14.2530259
#>  [9409,] 11.2436069
#>  [9410,]  7.0987689
#>  [9411,]  3.2144733
#>  [9412,]  3.7175634
#>  [9413,]  2.4880998
#>  [9414,]  1.3643789
#>  [9415,]  2.4783965
#>  [9416,]  4.8400851
#>  [9417,]  4.0223690
#>  [9418,]  2.3837111
#>  [9419,] 13.2819531
#>  [9420,] 12.3146423
#>  [9421,] 17.7752421
#>  [9422,] 20.4938925
#>  [9423,] 16.4443067
#>  [9424,] 16.1150763
#>  [9425,] 13.3265856
#>  [9426,] 10.7677941
#>  [9427,]  9.8334141
#>  [9428,]  7.9821422
#>  [9429,]  9.5146140
#>  [9430,] 13.3635853
#>  [9431,] 17.2408404
#>  [9432,] 16.1479389
#>  [9433,]  7.9419232
#>  [9434,]  5.7055447
#>  [9435,]  3.4701622
#>  [9436,]  4.8757702
#>  [9437,]  2.6644973
#>  [9438,]  5.3280608
#>  [9439,]  4.9060008
#>  [9440,] 10.8609347
#>  [9441,]  8.9773695
#>  [9442,]  7.6430551
#>  [9443,]  3.0091515
#>  [9444,]  5.1401760
#>  [9445,] 10.2439963
#>  [9446,] 19.9503897
#>  [9447,]  9.8192881
#>  [9448,]  1.8267015
#>  [9449,]  3.3931743
#>  [9450,]  5.3585448
#>  [9451,] 13.5447200
#>  [9452,]  5.2601979
#>  [9453,]  6.2540240
#>  [9454,] 12.7318239
#>  [9455,] 12.7745140
#>  [9456,] 15.6546708
#>  [9457,] 37.6109481
#>  [9458,] 33.1929310
#>  [9459,] 26.7285686
#>  [9460,] 12.2221300
#>  [9461,] 22.6982279
#>  [9462,] 12.8235643
#>  [9463,]  7.0866453
#>  [9464,]  3.6991303
#>  [9465,]  3.1636037
#>  [9466,]  7.7350550
#>  [9467,]  6.7733546
#>  [9468,]  5.6341606
#>  [9469,]  3.2176631
#>  [9470,]  4.2440248
#>  [9471,]  2.1928239
#>  [9472,]  6.4739035
#>  [9473,]  4.8251839
#>  [9474,]  7.2466344
#>  [9475,]  4.7360155
#>  [9476,]  4.1752069
#>  [9477,]  4.4824779
#>  [9478,] 14.5264423
#>  [9479,] 10.0511102
#>  [9480,]  5.6558926
#>  [9481,]  3.0405890
#>  [9482,]  1.7307412
#>  [9483,]  4.8361198
#>  [9484,]  9.6559888
#>  [9485,] 10.6513312
#>  [9486,] 23.2023060
#>  [9487,] 14.3531140
#>  [9488,] 19.9083371
#>  [9489,] 30.4336227
#>  [9490,] 21.3027517
#>  [9491,] 12.4812948
#>  [9492,] 12.0939122
#>  [9493,]  8.1505164
#>  [9494,]  5.2647909
#>  [9495,]  5.2316547
#>  [9496,]  2.2476331
#>  [9497,]  5.6280767
#>  [9498,]  5.6651267
#>  [9499,]  8.4614717
#>  [9500,] 10.9587334
#>  [9501,] 17.9846130
#>  [9502,] 12.6917791
#>  [9503,] 25.5271137
#>  [9504,] 23.9083062
#>  [9505,] 26.7796188
#>  [9506,] 14.7793855
#>  [9507,] 21.3900342
#>  [9508,] 31.0472863
#>  [9509,] 25.8143936
#>  [9510,] 15.9892898
#>  [9511,] 13.3332968
#>  [9512,] 11.8095085
#>  [9513,]  4.8470846
#>  [9514,]  9.9878939
#>  [9515,] 17.8529691
#>  [9516,] 13.3121958
#>  [9517,] 10.8733598
#>  [9518,] 11.4738812
#>  [9519,]  4.0688747
#>  [9520,]  9.8231226
#>  [9521,] 10.9534584
#>  [9522,] 15.7863486
#>  [9523,] 11.4836194
#>  [9524,] 12.8429056
#>  [9525,] 18.9234629
#>  [9526,] 11.1183560
#>  [9527,] 11.7362075
#>  [9528,]  7.5464173
#>  [9529,] 22.0437303
#>  [9530,] 12.8198970
#>  [9531,]  9.1387625
#>  [9532,]  2.5225419
#>  [9533,]  5.5598251
#>  [9534,]  9.3543621
#>  [9535,] 13.6678785
#>  [9536,]  9.8226554
#>  [9537,] 13.9945204
#>  [9538,] 14.3173660
#>  [9539,]  6.4469822
#>  [9540,]  1.8196538
#>  [9541,]  2.9095302
#>  [9542,]  4.0017295
#>  [9543,]  4.9123654
#>  [9544,]  2.5712822
#>  [9545,]  3.3823918
#>  [9546,]  2.3363080
#>  [9547,]  4.3409425
#>  [9548,]  4.3440429
#>  [9549,] 12.0716146
#>  [9550,]  7.4268456
#>  [9551,]  6.2270349
#>  [9552,]  3.3464538
#>  [9553,]  2.0453870
#>  [9554,]  7.0745544
#>  [9555,]  9.0134226
#>  [9556,]  8.9608350
#>  [9557,]  4.7603657
#>  [9558,]  0.8789117
#>  [9559,]  2.1008617
#>  [9560,]  6.3871846
#>  [9561,]  4.3890499
#>  [9562,]  1.9378319
#>  [9563,]  2.7920850
#>  [9564,]  9.8274656
#>  [9565,]  7.9014900
#>  [9566,]  6.3641528
#>  [9567,] 11.4249379
#>  [9568,]  5.1939837
#>  [9569,]  3.9167656
#>  [9570,]  6.8471281
#>  [9571,]  1.5380149
#>  [9572,]  0.7445279
#>  [9573,]  2.2324054
#>  [9574,]  0.5968056
#>  [9575,]  2.6667854
#>  [9576,]  4.3522608
#>  [9577,]  1.7710526
#>  [9578,]  3.4290951
#>  [9579,]  5.3944494
#>  [9580,]  2.7049228
#>  [9581,]  1.9997376
#>  [9582,]  1.4838044
#>  [9583,]  1.3028371
#>  [9584,]  1.8849108
#>  [9585,]  3.8073950
#>  [9586,]  2.0096898
#>  [9587,]  0.3504980
#>  [9588,]  0.2091241
#>  [9589,]  1.1269793
#>  [9590,]  2.1793367
#>  [9591,]  3.9599850
#>  [9592,]  3.3630055
#>  [9593,]  2.9006740
#>  [9594,]  3.6661245
#>  [9595,]  2.2970054
#>  [9596,]  2.3614038
#>  [9597,]  1.6964259
#>  [9598,]  2.1076832
#>  [9599,]  2.5516605
#>  [9600,]  6.0777610
#>  [9601,] 10.1398711
#>  [9602,]  4.4306572
#>  [9603,]  9.7321555
#>  [9604,]  5.9109132
#>  [9605,]  5.6243223
#>  [9606,]  4.7678807
#>  [9607,]  1.9705913
#>  [9608,]  2.2488768
#>  [9609,]  2.5274203
#>  [9610,]  2.3331294
#>  [9611,]  0.8257884
#>  [9612,]  2.0532238
#>  [9613,]  3.1319473
#>  [9614,]  3.9934547
#>  [9615,]  4.1074876
#>  [9616,]  5.6461060
#>  [9617,]  6.4742131
#>  [9618,]  1.2208758
#>  [9619,]  1.8981202
#>  [9620,]  4.2748563
#>  [9621,]  3.0957338
#>  [9622,]  4.9491830
#>  [9623,] 12.2125050
#>  [9624,]  5.6864872
#>  [9625,]  4.5313014
#>  [9626,]  1.2213224
#>  [9627,]  1.1719886
#>  [9628,]  1.7048997
#>  [9629,]  1.3898460
#>  [9630,]  1.5000782
#>  [9631,]  2.8959571
#>  [9632,]  4.2472990
#>  [9633,]  3.3683426
#>  [9634,]  4.1284854
#>  [9635,]  4.6615833
#>  [9636,]  6.8375652
#>  [9637,] 12.0865425
#>  [9638,]  6.0002496
#>  [9639,] 10.3936412
#>  [9640,] 10.7999432
#>  [9641,]  6.7776183
#>  [9642,]  9.2421925
#>  [9643,]  8.7877817
#>  [9644,]  8.1645986
#>  [9645,]  8.8866408
#>  [9646,] 17.2771175
#>  [9647,] 16.7888915
#>  [9648,] 19.4701755
#>  [9649,]  6.7819282
#>  [9650,]  7.2132521
#>  [9651,]  4.1817807
#>  [9652,]  0.3011133
#>  [9653,]  1.3906324
#>  [9654,]  2.8410613
#>  [9655,]  5.5938794
#>  [9656,]  4.7631331
#>  [9657,] 12.4620810
#>  [9658,]  2.7077827
#>  [9659,]  2.7835611
#>  [9660,]  3.0155854
#>  [9661,]  3.4425977
#>  [9662,]  3.6126239
#>  [9663,] 26.3932887
#>  [9664,] 28.9348035
#>  [9665,] 17.2928606
#>  [9666,] 15.3400051
#>  [9667,]  6.3875029
#>  [9668,]  4.9488732
#>  [9669,]  6.4594263
#>  [9670,]  5.7461113
#>  [9671,]  3.8151133
#>  [9672,]  4.7472986
#>  [9673,]  3.0662079
#>  [9674,]  1.2007072
#>  [9675,]  2.2660551
#>  [9676,]  2.7039400
#>  [9677,]  1.5710704
#>  [9678,]  1.0782926
#>  [9679,]  0.9814179
#>  [9680,]  2.3770675
#>  [9681,]  2.1231740
#>  [9682,]  3.2185046
#>  [9683,]  1.6098878
#>  [9684,]  4.8241491
#>  [9685,]  8.4236004
#>  [9686,]  6.7711348
#>  [9687,] 12.5363142
#>  [9688,] 17.1260931
#>  [9689,] 15.4415226
#>  [9690,] 10.0947582
#>  [9691,] 13.4394694
#>  [9692,] 19.4203027
#>  [9693,] 20.5962628
#>  [9694,] 17.9612554
#>  [9695,]  5.6627056
#>  [9696,]  7.3497577
#>  [9697,] 15.7640038
#>  [9698,]  7.4743969
#>  [9699,] 12.3003740
#>  [9700,] 30.1809317
#>  [9701,] 35.5025822
#>  [9702,] 21.9971552
#>  [9703,]  6.7831976
#>  [9704,]  7.1739483
#>  [9705,]  4.8573571
#>  [9706,]  4.3828985
#>  [9707,]  7.3631765
#>  [9708,]  5.0119575
#>  [9709,]  9.1584539
#>  [9710,] 17.1966967
#>  [9711,] 10.1242655
#>  [9712,] 13.9514577
#>  [9713,] 13.9728262
#>  [9714,] 19.5897030
#>  [9715,] 15.7513291
#>  [9716,] 29.1980056
#>  [9717,] 48.5701774
#>  [9718,] 44.3660686
#>  [9719,] 36.3457300
#>  [9720,] 27.3975666
#>  [9721,] 25.0289242
#>  [9722,] 21.4249547
#>  [9723,] 31.1396574
#>  [9724,] 38.4223228
#>  [9725,]  7.7322330
#>  [9726,]  4.7311941
#>  [9727,]  2.1851460
#>  [9728,]  3.3939206
#>  [9729,]  6.4639197
#>  [9730,]  6.4170646
#>  [9731,]  2.8797711
#>  [9732,]  5.0844852
#>  [9733,]  3.4707157
#>  [9734,]  0.7070459
#>  [9735,]  7.8795323
#>  [9736,]  8.5923485
#>  [9737,] 11.5189298
#>  [9738,]  4.1444291
#>  [9739,]  8.9183307
#>  [9740,]  7.7676680
#>  [9741,]  8.1427288
#>  [9742,]  4.1729836
#>  [9743,]  3.2829343
#>  [9744,] 12.8311641
#>  [9745,] 13.5464074
#>  [9746,] 12.0102228
#>  [9747,]  7.8861093
#>  [9748,] 13.9330575
#>  [9749,]  2.4355771
#>  [9750,]  4.2824512
#>  [9751,]  6.2073006
#>  [9752,]  4.5320187
#>  [9753,]  8.6870355
#>  [9754,]  7.8206772
#>  [9755,]  8.2219558
#>  [9756,]  6.1009608
#>  [9757,]  5.6083841
#>  [9758,]  2.2847595
#>  [9759,]  3.8802143
#>  [9760,]  2.5645308
#>  [9761,]  5.8493370
#>  [9762,]  2.1082417
#>  [9763,]  1.5451304
#>  [9764,]  3.4565086
#>  [9765,]  0.7559651
#>  [9766,]  1.2448989
#>  [9767,]  1.3981494
#>  [9768,]  4.5960556
#>  [9769,]  1.0788655
#>  [9770,]  1.2777411
#>  [9771,]  0.4516473
#>  [9772,]  0.3831222
#>  [9773,]  1.0918017
#>  [9774,]  2.2798597
#>  [9775,]  0.7662272
#>  [9776,]  1.2435103
#>  [9777,]  1.6644838
#>  [9778,]  2.9736504
#>  [9779,]  5.3312471
#>  [9780,]  1.8382837
#>  [9781,]  1.6324428
#>  [9782,]  0.5861337
#>  [9783,]  0.8901067
#>  [9784,]  0.5889901
#>  [9785,]  0.5365056
#>  [9786,]  0.7927899
#>  [9787,]  1.6416779
#>  [9788,]  2.4251717
#>  [9789,]  2.0119404
#>  [9790,]  2.5531988
#>  [9791,]  7.0509707
#>  [9792,]  3.2492753
#>  [9793,]  8.5012781
#>  [9794,]  5.4852685
#>  [9795,]  8.2180422
#>  [9796,]  5.1930126
#>  [9797,]  3.9811045
#>  [9798,] 15.0536581
#>  [9799,] 14.1235767
#>  [9800,]  9.6576798
#>  [9801,] 18.2473173
#>  [9802,] 12.1290950
#>  [9803,] 15.8328917
#>  [9804,]  9.0111217
#>  [9805,] 14.6191184
#>  [9806,] 25.2515114
#>  [9807,] 21.5080815
#>  [9808,] 26.7201057
#>  [9809,] 34.8568698
#>  [9810,] 24.1577350
#>  [9811,] 19.1415125
#>  [9812,] 22.9648479
#>  [9813,] 17.1699859
#>  [9814,] 33.1870284
#>  [9815,] 32.3235821
#>  [9816,] 23.1522017
#>  [9817,] 35.7564078
#>  [9818,] 30.8331870
#>  [9819,] 33.9022007
#>  [9820,] 42.8343317
#>  [9821,] 29.8700660
#>  [9822,] 19.3766512
#>  [9823,] 14.0773372
#>  [9824,] 14.7392806
#>  [9825,]  8.8010246
#>  [9826,] 14.4390404
#>  [9827,] 14.1351361
#>  [9828,]  9.8919909
#>  [9829,] 11.6296671
#>  [9830,] 10.8867922
#>  [9831,] 16.0702119
#>  [9832,]  9.2889192
#>  [9833,] 12.0786551
#>  [9834,] 13.7215340
#>  [9835,] 17.4805976
#>  [9836,] 13.9504969
#>  [9837,]  5.7355587
#>  [9838,]  4.2485525
#>  [9839,]  1.3084335
#>  [9840,]  1.7676305
#>  [9841,]  1.1848897
#>  [9842,]  4.9032576
#>  [9843,]  2.6322261
#>  [9844,]  3.5605362
#>  [9845,]  4.3091556
#>  [9846,] 12.6146648
#>  [9847,]  8.9414494
#>  [9848,]  6.6968147
#>  [9849,]  8.5061821
#>  [9850,] 12.7086866
#>  [9851,] 16.5591794
#>  [9852,] 13.4498527
#>  [9853,] 18.2594872
#>  [9854,]  9.6472512
#>  [9855,] 12.8898177
#>  [9856,]  7.7563371
#>  [9857,]  2.6322288
#>  [9858,]  1.1329560
#>  [9859,]  3.3219801
#>  [9860,]  4.3501067
#>  [9861,]  4.0058000
#>  [9862,]  6.1807942
#>  [9863,]  6.4741455
#>  [9864,]  4.2275924
#>  [9865,]  8.1767840
#>  [9866,]  3.9607121
#>  [9867,]  5.0737017
#>  [9868,]  5.4294265
#>  [9869,]  5.1460592
#>  [9870,]  5.5158632
#>  [9871,]  9.9435378
#>  [9872,]  9.5981345
#>  [9873,] 32.2396292
#>  [9874,] 30.6265650
#>  [9875,] 44.3590516
#>  [9876,] 11.7471005
#>  [9877,] 11.0912038
#>  [9878,] 14.6827229
#>  [9879,]  5.6234303
#>  [9880,]  4.2928439
#>  [9881,]  4.2992488
#>  [9882,]  5.1328084
#>  [9883,]  5.9533855
#>  [9884,]  3.0155881
#>  [9885,]  6.7129623
#>  [9886,]  7.7536567
#>  [9887,]  5.5800081
#>  [9888,]  3.5948454
#>  [9889,]  1.7217272
#>  [9890,]  0.7433623
#>  [9891,]  5.0006029
#>  [9892,]  8.6166720
#>  [9893,] 10.6410582
#>  [9894,]  8.7344324
#>  [9895,]  7.1557870
#>  [9896,]  5.8405763
#>  [9897,] 10.2753267
#>  [9898,]  4.5527353
#>  [9899,]  7.4684305
#>  [9900,]  6.0650558
#>  [9901,] 10.7971779
#>  [9902,]  3.6357971
#>  [9903,]  4.3396936
#>  [9904,]  1.5317844
#>  [9905,]  2.2909833
#>  [9906,]  7.9941743
#>  [9907,]  6.2095916
#>  [9908,]  5.9624209
#>  [9909,]  3.3353983
#>  [9910,]  3.7615980
#>  [9911,]  3.5948634
#>  [9912,]  5.0224981
#>  [9913,]  1.1274484
#>  [9914,]  4.2368785
#>  [9915,]  3.8403639
#>  [9916,] 11.3452548
#>  [9917,] 12.4370499
#>  [9918,]  9.4427665
#>  [9919,] 13.6664795
#>  [9920,]  7.5338941
#>  [9921,]  7.7786960
#>  [9922,]  2.9392413
#>  [9923,]  4.5068450
#>  [9924,]  2.9806103
#>  [9925,]  1.0900321
#>  [9926,]  2.7527747
#>  [9927,]  1.7197176
#>  [9928,]  3.0145247
#>  [9929,]  4.1036218
#>  [9930,]  5.3545403
#>  [9931,]  1.5059907
#>  [9932,]  2.3410124
#>  [9933,]  3.0029618
#>  [9934,]  4.8395416
#>  [9935,]  3.4202768
#>  [9936,]  0.8881943
#>  [9937,]  3.1308633
#>  [9938,]  2.5663034
#>  [9939,]  1.5378044
#>  [9940,]  0.9168589
#>  [9941,]  1.5555886
#>  [9942,]  4.1268616
#>  [9943,]  2.5147515
#>  [9944,]  1.7279244
#>  [9945,]  3.3308092
#>  [9946,]  1.1280009
#>  [9947,]  5.3455234
#>  [9948,]  5.4027940
#>  [9949,]  3.7905623
#>  [9950,]  4.6766720
#>  [9951,]  4.7603241
#>  [9952,]  4.9134654
#>  [9953,] 12.3280044
#>  [9954,]  9.4054042
#>  [9955,]  7.3232148
#>  [9956,]  6.5780211
#>  [9957,] 13.2085701
#>  [9958,]  7.8664088
#>  [9959,] 18.6492976
#>  [9960,] 15.4712179
#>  [9961,]  9.9282933
#>  [9962,]  7.5047272
#>  [9963,] 10.1503011
#>  [9964,] 12.0739372
#>  [9965,]  7.2784041
#>  [9966,] 16.9887612
#>  [9967,] 25.3162608
#>  [9968,] 19.2885827
#>  [9969,]  8.9541578
#>  [9970,]  3.7387870
#>  [9971,]  3.6035049
#>  [9972,]  3.8714802
#>  [9973,]  3.6801573
#>  [9974,]  1.7665058
#>  [9975,]  2.4971865
#>  [9976,]  3.6256161
#>  [9977,]  2.4239844
#>  [9978,]  2.8243021
#>  [9979,]  3.5518633
#>  [9980,]  1.9966469
#>  [9981,]  4.1690272
#>  [9982,]  7.8335386
#>  [9983,] 11.4711110
#>  [9984,]  7.3569017
#>  [9985,]  9.8492243
#>  [9986,] 15.8260295
#>  [9987,]  7.2779965
#>  [9988,]  3.9377086
#>  [9989,]  6.2971503
#>  [9990,] 11.6197421
#>  [9991,]  7.6539239
#>  [9992,] 23.5329311
#>  [9993,] 16.2350165
#>  [9994,] 17.5968962
#>  [9995,] 12.3681505
#>  [9996,] 11.0348883
#>  [9997,] 11.5724164
#>  [9998,] 11.0344152
#>  [9999,] 15.7812147
#> [10000,] 17.2825406
#> 
#> $sigma_vals
#>               [,1]
#>     [1,] 0.3960625
#>     [2,] 0.2900573
#>     [3,] 0.2716299
#>     [4,] 0.2475468
#>     [5,] 0.3120021
#>     [6,] 0.3872166
#>     [7,] 0.3364789
#>     [8,] 0.3521906
#>     [9,] 0.2965270
#>    [10,] 0.3272230
#>    [11,] 0.2304350
#>    [12,] 0.3374932
#>    [13,] 0.3280066
#>    [14,] 0.3510794
#>    [15,] 0.2868715
#>    [16,] 0.2670626
#>    [17,] 0.2948304
#>    [18,] 0.3565393
#>    [19,] 0.2874739
#>    [20,] 0.3742995
#>    [21,] 0.2713510
#>    [22,] 0.3118356
#>    [23,] 0.3260075
#>    [24,] 0.2792683
#>    [25,] 0.2899185
#>    [26,] 0.2945184
#>    [27,] 0.3138903
#>    [28,] 0.4245992
#>    [29,] 0.2994098
#>    [30,] 0.3811661
#>    [31,] 0.3329040
#>    [32,] 0.3204326
#>    [33,] 0.3203549
#>    [34,] 0.2893772
#>    [35,] 0.2407985
#>    [36,] 0.3798723
#>    [37,] 0.2813974
#>    [38,] 0.3110554
#>    [39,] 0.3444600
#>    [40,] 0.3860711
#>    [41,] 0.3268161
#>    [42,] 0.3444445
#>    [43,] 0.2417630
#>    [44,] 0.2811969
#>    [45,] 0.3273514
#>    [46,] 0.2881808
#>    [47,] 0.3353460
#>    [48,] 0.3865889
#>    [49,] 0.4233441
#>    [50,] 0.3383332
#>    [51,] 0.3016152
#>    [52,] 0.3233934
#>    [53,] 0.4681053
#>    [54,] 0.3355475
#>    [55,] 0.4522770
#>    [56,] 0.2413576
#>    [57,] 0.2721323
#>    [58,] 0.3080988
#>    [59,] 0.2571065
#>    [60,] 0.2822869
#>    [61,] 0.3100719
#>    [62,] 0.3488346
#>    [63,] 0.2956632
#>    [64,] 0.3030381
#>    [65,] 0.2654014
#>    [66,] 0.3321433
#>    [67,] 0.3137668
#>    [68,] 0.2928362
#>    [69,] 0.2362916
#>    [70,] 0.3229739
#>    [71,] 0.2636654
#>    [72,] 0.3246009
#>    [73,] 0.3588026
#>    [74,] 0.3234309
#>    [75,] 0.2717259
#>    [76,] 0.3393821
#>    [77,] 0.3037892
#>    [78,] 0.4228596
#>    [79,] 0.3198247
#>    [80,] 0.3572080
#>    [81,] 0.3715481
#>    [82,] 0.3525739
#>    [83,] 0.2539785
#>    [84,] 0.3268120
#>    [85,] 0.2813185
#>    [86,] 0.2868738
#>    [87,] 0.2645193
#>    [88,] 0.3347332
#>    [89,] 0.3529235
#>    [90,] 0.3127541
#>    [91,] 0.2548277
#>    [92,] 0.3124756
#>    [93,] 0.3530972
#>    [94,] 0.2884303
#>    [95,] 0.2699395
#>    [96,] 0.3033700
#>    [97,] 0.2327589
#>    [98,] 0.2541078
#>    [99,] 0.2728573
#>   [100,] 0.3544619
#>   [101,] 0.3530646
#>   [102,] 0.3257800
#>   [103,] 0.3205706
#>   [104,] 0.3270438
#>   [105,] 0.2856267
#>   [106,] 0.2587162
#>   [107,] 0.2215232
#>   [108,] 0.2973827
#>   [109,] 0.2822934
#>   [110,] 0.2911282
#>   [111,] 0.2928479
#>   [112,] 0.3825175
#>   [113,] 0.3497736
#>   [114,] 0.2799301
#>   [115,] 0.2888060
#>   [116,] 0.3207482
#>   [117,] 0.3392832
#>   [118,] 0.3940376
#>   [119,] 0.2906683
#>   [120,] 0.2276149
#>   [121,] 0.2335178
#>   [122,] 0.2511560
#>   [123,] 0.3049085
#>   [124,] 0.2416731
#>   [125,] 0.3615224
#>   [126,] 0.4596619
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#>  [1974,] 0.2693530
#>  [1975,] 0.4275549
#>  [1976,] 0.3611875
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#>  [1980,] 0.2882278
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#>  [1984,] 0.3204690
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#>  [1990,] 0.2902805
#>  [1991,] 0.3720754
#>  [1992,] 0.2536600
#>  [1993,] 0.2527362
#>  [1994,] 0.2657542
#>  [1995,] 0.3556912
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#>  [1997,] 0.3065595
#>  [1998,] 0.3221763
#>  [1999,] 0.2107967
#>  [2000,] 0.3538374
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#>  [2003,] 0.2649703
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#>  [2006,] 0.3416117
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#>  [2012,] 0.3436662
#>  [2013,] 0.2831996
#>  [2014,] 0.3449201
#>  [2015,] 0.4773245
#>  [2016,] 0.3117964
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#>  [9976,] 0.3063681
#>  [9977,] 0.3133784
#>  [9978,] 0.2724471
#>  [9979,] 0.2427116
#>  [9980,] 0.2817658
#>  [9981,] 0.2704402
#>  [9982,] 0.2863750
#>  [9983,] 0.3326090
#>  [9984,] 0.2768719
#>  [9985,] 0.3393069
#>  [9986,] 0.3696130
#>  [9987,] 0.3796339
#>  [9988,] 0.3527423
#>  [9989,] 0.2656838
#>  [9990,] 0.3241214
#>  [9991,] 0.2917169
#>  [9992,] 0.2875727
#>  [9993,] 0.3456630
#>  [9994,] 0.3049724
#>  [9995,] 0.3037016
#>  [9996,] 0.2701338
#>  [9997,] 0.2792535
#>  [9998,] 0.3244008
#>  [9999,] 0.3417684
#> [10000,] 0.2791882
#>